![\"\"](\"http:\/\/318419.xyz\/wp-content\/uploads\/2022\/02\/image-689x1024.png\")
<\/div><\/figure>\n\n\n\n\u5085\u91cc\u53f6\u53d8\u6362\u7684\u4e0d\u8db3\u5728\u4e8e\u8981\u60f3\u6c42\u5f97\u67d0\u4e00\u9891\u7387\u03c9\u7684\u9891\u8c31\uff0c\u9700\u8981\u5bf9\u6240\u6709\u65f6\u6bb5\u7684t\u8fdb\u884c\u79ef\u5206\uff0c\u4efb\u4f55\u6709\u9650\u9891\u6bb5\u7684f(\u03c9)\u90fd\u4e0d\u80fd\u786e\u5b9a\u4efb\u610f\u5c0f\u65f6\u95f4\u7684\u4fe1\u53f7f(t)\u3002 \u666e\u901a\u7684\u5085\u91cc\u53f6\u79ef\u5206\u53d8\u6362\u662f\u5b9a\u4e49\u4e8eBanach\u7a7a\u95f4(\\(L^1\\) \u7a7a\u95f4\u4e0a\u7684\u3002<\/p>\n\n\n\n
\u4e3a\u4e86\u7814\u7a76\u5c40\u90e8\u8303\u56f4\u7684\u9891\u7387\u7279\u5f81\uff0c\u53ef\u4ee5\u91c7\u7528Fourier-Gabor \u53d8\u6362\u3002 \u91cd\u5b9a\u4e49\u53d8\u6362\u5171\u8bc6\u540e\uff0c\u53ef\u4ee5\u627e\u5230\u4efb\u4e00\u5c40\u90e8\u8303\u56f4\u5185\u7684\u9891\u7387\u7279\u5f81\uff0c\u5e76\u4e14\u7a97\u53e3\u4f4d\u7f6e\u4f1a\u968f\u7740\u53c2\u6570b\u5e73\u79fb\u3002<\/p>\n\n\n\n
\u5c0f\u6ce2\u53d8\u6362\uff0c\u53ef\u4ee5\u53d8\u7126\uff0c\u5bf9\u9ad8\u9891\u4fe1\u53f7\u68c0\u6d4b\u7a97\u53e3\u7a84\uff0c\u4f4e\u9891\u4fe1\u53f7\u68c0\u6d4b\u7a97\u53e3\u5927\u3002<\/p>\n\n\n\n
\u7b80\u660e\u91cf\u5b50\u573a\u8bba<\/p>\n\n\n\n
\u5148\u4e0d\u5199\u8bb2\u4e49\u4e86\uff0c\u8fd8\u6709\u56db\u5341\u9875\u4e66\u770b\u5230\u91cd\u6b63\u5316\uff0c\u9884\u8ba1\u5468\u4e8c\u665a\u4e0a\u4e4b\u524d\u770b\u5b8c\u5427\u3002 \u7136\u540e\u6bcf\u5929\u5199\u4e00\u7ae0\u7684\u8bb2\u4e49\uff0c\u6e29\u6545\u4e00\u4e0b\u524d\u9762\u7684\u3002 \u7136\u540e\u770b\u91cd\u6b63\u5316\uff0c40\u9875\u3002\u5468\u4e94\u665a\u4e0a\u4e4b\u524d\u770b\u5b8c\uff0c\u5f00\u59cb\u505a\u4e60\u9898\u3002Peskin&\u738b\u6b63\u884c\u3002<\/p>\n\n\n\n
220226<\/p>\n\n\n\n
\u949f\u7389\u6cc9\u590d\u53d8\u51fd\u6570\u6307\u5bfc\u4e66<\/p>\n\n\n\n
\u91cd\u8981\u79ef\u5206\u516c\u5f0f<\/p>\n\n\n\n
\\(\\int_C \\frac{dz}{(z-a)^n}=2\\pi i \\delta_{n1}\\)<\/p>\n\n\n\n
\u67ef\u897f\u79ef\u5206<\/p>\n\n\n\n
\\(\\int_c\\frac{f(\\zeta)}{\\zeta-z}d\\zeta=2\\pi i f(z)\\)<\/p>\n\n\n\n
\u67ef\u897f\u9ad8\u9636\u5bfc\u6570\u516c\u5f0f<\/p>\n\n\n\n
\\(\\int_c\\frac{f(\\zeta)}{\\zeta-z}^{n+1}d\\zeta=\\frac{2\\pi i}{n!}f^(n)(z)\\)<\/p>\n\n\n\n
\u738b\u6b63\u884c\u91cf\u5b50\u573a\u8bba<\/p>\n\n\n\n
<\/p>\n\n\n\n
220225<\/p>\n\n\n\n
wyle & Dirac\u65b9\u7a0b\u6709\u5185\u90e8\u5bf9\u79f0\u6027\u3002 \u6240\u8c13\u5185\u90e8\u5bf9\u79f0\u6027\u662f\u6307\u91cf\u5b50\u573a\u8bba\u4e2d\u91cf\u5b50\u529b\u5b66\u90e8\u5206\uff0c\u53d1\u751f\u5728hilbert\u7a7a\u95f4\u3002 \u4f8b\u5982\u7a7a\u95f4\u53cd\u6f14\u5bf9\u79f0\u6027\u5728\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u662f\u6d1b\u4f26\u5179\u53d8\u6362\u7684\u4e00\u79cd\u80af\u5b9a\u5b58\u5728\uff0c\u90a3\u4e48\u5728\u91cf\u5b50\u529b\u5b66\u90e8\u5206\uff0c\u662f\u90fd\u6709\u5bf9\u5e94\u7684\u53d8\u6362\u5462\uff1f \u901a\u8fc7\u89e3\u53d8\u6362\u65b9\u7a0b\uff0c\u6709\u89e3\uff0c\u5219\u6574\u4f53\u6709\u5bf9\u79f0\u6027\u3002\u65e0\u89e3\u5219\u6574\u4f53\u65e0\u5bf9\u79f0\u6027\u3002 \u5c31\u6bd4\u5982 Dirac\u65b9\u7a0b\u63cf\u8ff0\u7684\u7c92\u5b50\u6709\u65f6\u7a7a\u53cd\u6f14\u5bf9\u79f0\u6027\uff0cWyle\u65b9\u7a0b\u5219\u65e0\u3002<\/p>\n\n\n\n
<\/p>\n\n\n\n
220224<\/p>\n\n\n\n
\u539f\u6765\u6240\u8c13\u8d28\u91cf\u8d77\u6e90\u4e0d\u8fc7\u662f\u573a\u4e4b\u95f4\u7684\u8026\u5408\uff0c\u8d28\u91cf\u662f\u5bf9\u590d\u6742\u7269\u7406\u7684\u4e00\u79cd\u63cf\u8ff0\u3002\u4f8b\u5982\u5bf9\u4e8e\u81ea\u65cb\u4e3a1\/2\u7684\u65e0\u8d28\u91cf\u7c92\u5b50\uff0c\u5047\u8bbe\u4ed6\u4eec\u4e4b\u95f4\u53ef\u4ee5\u8026\u5408\uff0c\u8026\u5408\u5e38\u6570\u4e3am\uff0c\u4fbf\u53ef\u4ee5\u4eceweyl\u65b9\u7a0b\u8f6c\u5316\u4e3aDirac\u65b9\u7a0b\u3002<\/p>\n\n\n\n
\u56db\u901f\u5ea6\u662f\u56db\u901f\u5ea6\uff0c\u5149\u901f\u662f\u4e09\u901f\u5ea6\u3002\u975e\u60ef\u6027\u7cfb\u662f\u7edd\u5bf9\u7684\u3002<\/p>\n\n\n\n
\u5e7f\u4e49\u76f8\u5bf9\u8bba<\/p>\n\n\n\n
\\(ds^2=g_{ij}dx^idx^j\\)<\/p>\n\n\n\n
220223<\/p>\n\n\n\n \u7c92\u5b50\u7269\u7406\u6807\u51c6\u6a21\u578b<\/p>\n\n\n\n 1.\u597d\u7684\u7406\u8bba\u7269\u7406\u5b66\u5bb6\u662f\u597d\u7684\u6570\u5b66\u5bb6\u4e5f\u662f\u597d\u7684\u7a0b\u5e8f\u5458\u3002<\/p>\n\n\n\n 2. \u6807\u6ce8\u6a21\u578b\u7b80\u4ecb SU(3)*SU(2)*U(1) Lagrangian \u534f\u53d8\u5fae\u5206 <\/p>\n\n\n\n 3. QCD Feyman Rule. \u88f8\u573a\u62c9\u6c0f\u91cf& \u88f8\u573a\u534f\u53d8\u5fae\u5206 -> \u5229\u7528\u7ef4\u6570\u6b63\u89c4\u5316 \u6dfb\u52a0\u6b63\u89c4\u5316\u56e0\u5b50 -> \u91cd\u6b63\u5316\u7684\u62c9\u6c0f\u91cf&\u534f\u53d8\u5fae\u5206 (1) \u771f\u7a7a\u5916\u817f\u56fe \u8d39\u7c73\u5b50\uff0c\u80f6\u5b50\uff0c\u9b3c\u573a\u7c92\u5b50\u3002 (2) \u8d39\u7c73\u5b50\u573a\u65cb\u91cf \u6781\u5316\u77e2\u91cf \u6b63\u4ea4\u5f52\u4e00\u5173\u7cfb \u5b8c\u5907\u5173\u7cfb \uff083\uff09 \u8d39\u7c73\u5b50\u5185\u7ebf \u80f6\u5b50 \u9b3c\u573a\u7c92\u5b50 \u5185\u7ebf\u3002 \uff084\uff09 \u8d39\u7c73\u5b50 \u80f6\u5b50\u9876\u70b9\u56fe \u4e09\u80f6\u5b50 \u56db\u80f6\u5b50 \u4e24\u9b3c\u573a\u7c92\u5b50\u80f6\u5b50 \u9876\u70b9\u56fe\u3002 <\/p>\n\n\n\n \u738b\u6b63\u884c\u7b80\u660e\u91cf\u5b50\u573a\u8bba<\/p>\n\n\n\n <\/p>\n\n\n\n \u89c4\u8303\u573a\u8bba<\/p>\n\n\n\n 1 \u63a8\u5bfc\u6709\u76f8\u4e92\u4f5c\u7528\u7684\u7cfb\u7edf \u5373 \u975e\u81ea\u7531\u54c8\u5bc6\u987f\u91cf \u8def\u5f84\u79ef\u5206\u7684\u91cf\u5b50\u529b\u5b66 \u3002 \u5229\u7528Zassehaus\u516c\u5f0f\uff0c\u5580\u4e66\u4e0a\u6709\u8be6\u7ec6\u63a8\u5bfc\uff0c \u53ef\u4ee5\u628a\u52bf\u80fd\u9879 \u4e0e\u52a8\u80fd\u9879\u5b8c\u5168\u5206\u5f00\uff0c \u7136\u540e\u5229\u7528\u63a8\u5bfc\u81ea\u7531\u54c8\u5bc6\u987f\u91cf\u65f6\u7684\u516c\u5f0f \u5373\u53ef\u63a8\u5230\u3002 \u4f46\u662f\u5b58\u5728\u4e00\u4e2a\u4e25\u91cd\u95ee\u9898\uff0c\u88ab\u79ef\u51fd\u6570\u662f e^(iS[x]) \u975e\u5e38\u9707\u8361\uff0c \u8ba1\u7b97\u673a\u4f1a\u51fa\u73b0\u201c\u7b26\u53f7\u95ee\u9898<\/strong>\u201d\uff0c\u89e3\u51b3\u529e\u6cd5\u6709\u5e73\u5747\u573a\u7406\u8bba\u548cwick \u8f6c\u52a8\uff0c wick \u8f6c\u52a8\u662f\u628a\u95f5\u6c0f\u7a7a\u95f4\u7684\u65f6\u95f4\u8f74\u8f6c\u5230\u865a\u8f74 \u76f8\u5f53\u4e8e\u628at_m \u7528-it_e \u66ff\u4ee3\uff0c\u8ba8\u8bba\u6b27\u5f0f\u7a7a\u95f4\u4e0b\u7684\u8dc3\u8fc1\u77e9\u9635\uff0c\u6700\u540e\u7ed3\u679c\u518d\u7528wick\u8f6c\u52a8\u8f6c\u56de\u53bb\u5373\u53ef\u3002<\/p>\n\n\n\n 220222<\/p>\n\n\n\n \u5e7f\u4e49\u76f8\u5bf9\u8bba\uff1a<\/p>\n\n\n\n 1 \u8bfe\u7a0b\u8986\u76d6\u5185\u5bb9\uff1a Einstein SR-> Einstein GR -> Block Hole.<\/p>\n\n\n\n 2 \u5f15\u529b\u6027\u8d28\uff1a Universal\uff0c \u65e0\u6cd5\u5c4f\u853d\u3002 \u60f3\u8981\u662f\u957f<\/strong>\u7a0b\u529b \u4f20\u64ad\u5b50\u5f97\u662f\u65e0\u8d28\u91cf\u7684\u3002\u6700\u5f31\u7684\u529b\uff0c\u7535\u78c1\u529b\u768410^-36<\/p>\n\n\n\n \u5f15\u529b\u548c\u7535\u78c1\u529b\u5341\u5206\u7c7b\u4f3c\uff0c\u4f46\u662f\u5f15\u529b\u65e0\u6cd5\u91cd\u6574\u3002<\/p>\n\n\n\n 3 \u5e7f\u76f8\u53ef\u4ee5\u89e3\u51b3\uff1a \u6c34\u661f\u8fdb\u52a8\uff0c\u76f8\u5bf9\u8bba\u6027\u7684\u534f\u53d8\u5f15\u529b\u7406\u8bba\uff0cEinstein \u65b9\u7a0b\uff0c\u6d4b\u5730\u7ebf\u65b9\u7a0b\u3002<\/p>\n\n\n\n 4 \u76f8\u5bf9\u8bba\u6548\u5e94\uff0cSR v\/c ~1 GR \u661f\u7403\u8868\u9762\u9003\u9038\u901f\u5ea6\u8fbe\u5230 V_esc\/c ~O(1) that is Sqrt(2GM\/R)\/c ~O(1) , GM\/RC^2 ~ O(1).<\/strong> \u5730\u7403 10^-9 ,GPS\u5fc5\u987b\u8003\u8651 \u76f8\u5bf9\u8bba\u6548\u5e94+\u5f15\u529b\u7ea2\u79fb\u6548\u5e94\u3002 \u4e2d\u5b50\u661f 0.2 Block Hole & Cosmology ~O(1). <\/p>\n\n\n\n Lie Group & Lie Algebra<\/p>\n\n\n\n 1 \u674e\u7fa4\uff1a\u4e00\u7c7b\u8fde\u7eed\u7fa4(\u7a7a\u95f4\u5149\u6ed1\uff09\u674e\u4ee3\u6570: \u674e\u7fa4\u7684\u65e0\u7a77\u5c0f\u751f\u6210\u5143\u3002<\/p>\n\n\n\n 2 \u5168\u5c40\u5bf9\u79f0\u6027 \uff081\uff09 \u8fde\u7eed\u65f6\u7a7a\u5bf9\u79f0\u6027 Conformal Group\uff0c Poincare Group\uff0c \uff082\uff09 \u79bb\u6563\u53d8\u6362\u5bf9\u79f0\u6027 CPT \uff083\uff09 \u7f6e\u6362\u7fa4 \u5168\u540c\u7c92\u5b50\u4ea4\u6362\u5bf9\u79f0\u6027 \uff084\uff09 \u7c92\u5b50\u7269\u7406\u4e2dGlobal Symmetry \u91cd\u5b50\u6570 \u8f7b\u5b50\u6570\u5b88\u6052\u7684U(1) \u8fd1\u4f3c\u7684SU(3) Flavour \u8fd1\u4f3c \uff0cColor\u3002\uff085\uff09 \u8303\u7574\u7684\u5168\u5c40\u5bf9\u79f0\u6027\u3002<\/p>\n\n\n\n 3 \u5c40\u57df\u5bf9\u79f0\u6027 \u89c4\u8303\u5bf9\u79f0\u6027 \u7406\u89e3\u4e3a\u7cfb\u7edf\u7684\u5197\u4f59\u5ea6\u3002\uff081\uff09 \u8fde\u7eed\u65f6\u7a7a\u5bf9\u79f0\u6027 \u5e7f\u76f8\u4e2d\u7684\u5fae\u5206\u540c\u80da\u5bf9\u79f0\u6027 \uff082\uff09 \u7c92\u5b50\u7269\u7406\u4e2d\u7684\u89c4\u8303\u5bf9\u79f0\u6027 SM\u4e2dSU(3)*SU(2)*U(1). (3) \u51dd\u805a\u6001\u4e2d\u7684\u79bb\u6563\u89c4\u8303\u5bf9\u79f0\u6027 \uff084\uff09 Higher group gauge theory\u3002<\/p>\n\n\n\n 4 Center of G\u4e0eNomal group \u533a\u522b\u3002 Center of G\u4e00\u5b9a\u662f \u6b63\u89c4\u5b50\u7fa4\uff0c\u6b63\u89c4\u5b50\u7fa4\u4e0d\u4e00\u5b9a\u662f Center of G\uff0c \u56e0\u4e3aNomal group \u662f\u6307\u4efb\u4e00\u5143\u7d20 gH=Hg\uff0c\u6bcf\u4e2a\u5143\u7d20\u4e0d\u4e00\u5b9a\u4e92\u76f8\u5bf9\u6613\uff0c Center of G \u4e0e\u6bcf\u4e00\u5143\u7d20\u4e92\u76f8\u5bf9\u6613\uff0c\u6240\u4ee5\u4e00\u5b9a\u6709 gC=Cg\u3002<\/p>\n\n\n\n 5 \u7fa4\u7684\u76f4\u79ef: G H \u6ca1\u6709\u4e58\u6cd5\uff0c\u76f4\u79ef\u7fa4\u4e3a\u6709\u5e8f\u6570\u5bf9\uff0cGH\u6709\u4e58\u6cd5\u8981\u6c42\u3000gh=hg\u3002<\/p>\n\n\n\n 6 \u73af Ring\uff0c is a set R with a binary operation “.” R x R->R and a binary operation “+”: R+R->R s.t. 1. Abelian Group under + 2. exists unique multilplicative identity element 1. 3. Distribution Low. <\/p>\n\n\n\n Example: 1 Integers 2 n*n Matrices.<\/p>\n\n\n\n 7 \u57df Feild\uff0c Filed is a ring F where the multiplication * also have the struction of abelian group. For any a ieq 0 in F, with a unique element a^-1 s.t. a*a^-1=1. <\/p>\n\n\n\n Examples: 1 Real number R 2 Complex number C 3 Rotioal number Q. <\/p>\n\n\n\n \u738b\u6b63\u884c\u91cf\u5b50\u573a\u8bba<\/p>\n\n\n\n <\/p>\n\n\n\n 220221<\/p>\n\n\n\n \u4eca\u5929\u82b1\u4e86\u5f88\u957f\u65f6\u95f4\u76f4\u5230PZ\u8003\u7814\u590d\u8bd5\u7684\u4e8b\u60c5\uff0c\u4f46\u662f\u4e5f\u662f\u53cd\u590d\u5370\u8bc1\u4e86\u4e00\u4ef6\u4e8b\uff0c\u5982\u679c\u6709\u4e00\u4e2a\u6e05\u6670\u7684\u7b26\u5408\u5b9e\u9645\u7684\u76ee\u6807\uff0c\u4f60\u52aa\u529b\u53bb\u505a\u4e00\u4ef6\u4e8b\uff0c\u5c31\u4e00\u5b9a\u53ef\u4ee5\u6210\u529f\u7684\u3002 \u4f46\u95fb\u8015\u8018\u4e0d\u95ee\u6536\u83b7\uff0c\u5b66\u4e60\u7269\u7406\u66f4\u662f\u5982\u6b64\uff0c\u9700\u8981\u957f\u4e45\u7684\u4ed8\u51fa\uff0c\u4f46\u662f\u4ed8\u51fa\u5c31\u662f\u4e00\u5b9a\u4f1a\u6709\u6536\u83b7\u7684\u3002<\/p>\n\n\n\n \u738b\u6b63\u884c\u8fd1\u4ee3\u7269\u7406\u9898\u89e3<\/p>\n\n\n\n \u4eca\u5929\u5148\u505a\u4e86\u51e0\u9053\u9898\u76ee\uff0c\u9065\u8fdc\u661f\u4f53\u5149\u7ebf\u7ea2\u79fb\u95ee\u9898\uff0c\u4f46\u662f\u65f6\u95f4\u4e0d\u591f\u4e86 \u6ca1\u6709\u76f4\u89c2\u7684\u60f3\u660e\u767d\u4e3a\u4ec0\u4e48 \u7b97\u9891\u7387\u65f6\u8981\u7528\u7231\u56e0\u65af\u5766\u81a8\u80c0\u65f6\u95f4 \u548c\uff08C+V\uff09*T\u7684\u957f\u5ea6\u6765\u8ba1\u7b97\u3002 \u5982\u679c\u8003\u8651\u6ce2\u52a8\u6027 \u76f4\u63a5\u7528lorentz\u53d8\u6362\u7684\u8bdd \u4e5f\u662f\u53ef\u4ee5\u76f4\u63a5\u505a\u51fa\u6765\u7684\u3002<\/p>\n\n\n\n \u96f6\u8d28\u91cf\u7c92\u5b50\u4e0d\u53ef\u80fd\u5177\u6709\u5185\u90e8\u7ed3\u6784\uff0c\u662f\u771f\u6b63\u7684\u57fa\u672c\u7c92\u5b50\u3002\u662f\u5426\u53ef\u4ee5\u8bc1\u660e\uff0c\u6240\u6709\u542b\u6709\u8d28\u91cf\u7684\u7c92\u5b50\u90fd\u4e0d\u662f\u57fa\u672c\u7c92\u5b50\uff1f<\/strong><\/p>\n\n\n\n \u8d85\u5149\u901f\u5b9e\u9a8c\u53ea\u662f\u63a2\u8ba8\u5149\u4e0e\u7269\u8d28\u76f8\u4e92\u4f5c\u7528\uff0c\u5e76\u6ca1\u6709\u6d89\u53ca\u5149\u5b50\u81ea\u8eab\u6027\u8d28\u3002<\/strong>\u72ed\u4e49\u76f8\u5bf9\u8bba\u5e76\u6ca1\u6709\u7981\u6b62\u8d85\u5149\u901f\u73b0\u8c61\u3002<\/p>\n\n\n\n \u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\uff0c\u7231\u56e0\u65af\u5766\u4ece\u5149\u901f\u4e0d\u53d8\u51fa\u53d1\uff0c\u63a8\u5e7f\u4e86\u5149\u5b50\u7684\u95f4\u9694\u4e0d\u53d8\u5230\u6240\u6709\u4e8b\u4ef6\uff0c\u5f15\u51fa\u4e86Minkowski Space\u548c\u56db\u7ef4\u95f4\u9694\u4e0d\u53d8\u3002<\/p>\n\n\n\n \u53e6\u5916\u8fd8\u4e0a\u4e86\u89c4\u8303\u573a\u8bba\uff0c\u63a8\u5bfc\u91cf\u5b50\u529b\u5b66+\u6700\u5c0f\u4f5c\u7528\u91cf\u539f\u7406\u5bfc\u51fa\u7684\u8def\u5f84\u79ef\u5206\u3002<\/strong><\/p>\n\n\n\n \u601d\u8def\u662f\uff1a<\/p>\n\n\n\n 1\u91cf\u5b50\u5316\u5e73\u9762\u6ce2 \u628a\u5e73\u9762\u6ce2\u4ece e^i*(kx-wt) \u91cf\u5b50\u5316 \u6210\u4e3a e^(i*S\/hbar) \u5176\u4e2dS\u4e3a\u4f5c\u7528\u91cf<\/p>\n\n\n\n 2 \u5f15\u5165\u7ebf\u6027\u76f8\u5173\u7684\u6570\u5b66\u63cf\u8ff0\uff0c \u5229\u7528\u91cf\u5b50\u529b\u5b66\u662f\u7ebf\u6027\u7684\uff0c\u5c06\u6ce2\u51fd\u6570\u7684\u6f14\u5316\u7528\u7ebf\u6027\u76f8\u5173\u7684\u6570\u5b66\u63cf\u8ff0\u51fa\u6765\u3002\u5f15\u5165\u4f20\u64ad\u5b50 G(x t x’ 0)<\/p>\n\n\n\n 3 \u5229\u7528\u8d39\u66fc\u591a\u8fb9\u6298\u9053\u6cd5 \u5229\u7528\u79bb\u6563\u5316\u601d\u60f3 \u63cf\u8ff0\u8def\u5f84\u79ef\u5206 \u53ef\u4ee5\u6210\u529f\u63a8\u5bfc\u51faSchordinger\u65b9\u7a0b \u5370\u8bc1\u4e86\u91cf\u5b50\u529b\u5b66\u662f\u7ebf\u6027\u7684\u3002<\/p>\n\n\n\n 4 \u5229\u7528\u6f14\u5316\u7b97\u7b26\u8ba1\u7b97\u632f\u5e45\uff0c\u5229\u7528\u666e\u9002\u7684\uff08\u5bf9\u54c8\u5bc6\u987f\u91cf\uff09\u8def\u5f84\u79ef\u5206\u8868\u8fbe\u5f0f\uff0c\u5e26\u5165\u6700\u7b80\u5355\u7684\u81ea\u7531H\uff0c\u8ba1\u7b97\u51fa\u8def\u5f84\u79ef\u5206\u8868\u8fbe\u5f0f\u7684\u5f52\u4e00\u5316\u56e0\u5b50\u3002<\/p>\n\n\n\n 5 \u6700\u540e\u63a8\u5bfc\u51fa\u4e86 \u8def\u5f84\u79ef\u5206\u8868\u8ff0\u7684\u91cf\u5b50\u529b\u5b66\u8868\u8fbe\u5f0f\u3002<\/p>\n\n\n\n 220220<\/p>\n\n\n\n \u738b\u6b63\u884c\u91cf\u5b50\u573a\u8bba<\/p>\n\n\n\n \u4eca\u5929\u4e3b\u8981\u770b\u4e86\u738b\u6b63\u884c\u5148\u751f\u7684\u7b80\u660e\u91cf\u5b50\u573a\u8bba\uff0c\u7ecf\u5178\u573a\u548c\u6807\u91cf\u573a\u7684\u91cf\u5b50\u5316\uff0c\u505a\u4e86\u4e24\u9053SR\u8d28\u70b9\u52a8\u529b\u5b66\u4e60\u9898\uff0c\u5e76\u4e14\u641e\u660e\u767d\u4e86\u5230\u5e95\u4ec0\u4e48\u662f\u949f\u6162\u5c3a\u7f29\u6548\u5e94\u3002<\/p>\n\n\n\n \u7b80\u660e\u91cf\u5b50\u573a\u8bba\uff1a\u91cf\u5b50\u573a\u8bba\u662f\u63cf\u8ff0\u7c92\u5b50\u7269\u7406\uff0c\u7c92\u5b50\u7684\u8fd0\u52a8\u662f\u65f6\u7a7a\u4e2d\u5206\u5e03\u7684\u573a\uff0c\u7c92\u5b50\u4e4b\u95f4\u5b58\u5728\u76f8\u4e92\u4f5c\u7528\u8868\u73b0\u4e3a\u573a\u4e4b\u95f4\u7684\u8026\u5408\u3002\u7c92\u5b50\u6709\u5404\u81ea\u7684\u6027\u8d28\u8868\u73b0\u4e3a\u5404\u79cd\u573a\u5177\u4f53\u7684\u5bf9\u79f0\u4e0e\u53d8\u6362\u6027\u8d28\u3002 \u91cf\u5b50\u573a\u8bba\u662f\u7c92\u5b50\u8fd0\u52a8\u7684\u52a8\u529b\u5b66\u6a21\u578b\u3002<\/strong>\u662fHilbert\u7a7a\u95f4+Minkowski\u7a7a\u95f4\uff0c\u5373QM+SR\u3002\u76f8\u4e92\u4f5c\u7528\u7531\u4ea4\u6362\u89c4\u8303\u573a\u7684\u7c92\u5b50\u6765\u5b9e\u73b0\u3002 \u5185\u90e8\u5bf9\u79f0\u6027\uff0c\u5185\u90e8\u7a7a\u95f4\u662f\u7531\u7279\u5b9a\u573a\u7ec4\u6210\u662fHilbert\u7a7a\u95f4\u7684\u5b50\u7a7a\u95f4\uff0c\u91cf\u5b50\u573a\u8bba\u63cf\u8ff0\u8fd9\u4e9b\u5185\u90e8\u7a7a\u95f4\u7684\u7269\u7406\uff0c\u7ed9\u51fa\u4e86\u5177\u4f53\u7c92\u5b50\u7684\u5206\u7c7b\u3002<\/p>\n\n\n\n \u91cf\u5b50\u573a\u8bba\u662f\u70b9\u6a21\u578b\uff0c\u6570\u5b66\u4e0a\u5b58\u5728\u65e0\u9650\u5927\uff0c\u7a7a\u95f4\u8303\u56f4\u6709\u4e0b\u9650\uff0c\u5bfc\u81f4\u91cd\u6b63\u5316\u3002<\/strong><\/p>\n\n\n\n \u90a3\u4e48\u5e7f\u4e49\u76f8\u5bf9\u8bba\u7269\u7406\u8fc7\u7a0b\u53d1\u751f\u4e8e\u4ec0\u4e48\u7a7a\u95f4\uff1f \u4ece\u5fae\u89c2\u8fc7\u7a0b\u8fc7\u6e21\u5230\u5b8f\u89c2\u8fc7\u7a0b\u7684\u754c\u9650\u662f\u4ec0\u4e48\uff1f\u4f8b\u5982\u91cf\u5b50\u529b\u5b66\u8fc7\u6e21\u5230\u7ecf\u5178\u529b\u5b66\uff0c\u662f\u5426\u4e3aHilbert\u7a7a\u95f4\u8fc7\u6e21\u5230\u6b27\u51e0\u91cc\u5f97\u7a7a\u95f4\uff0c\u90a3\u4e48\u754c\u9650\u662f\u4ec0\u4e48\uff1f\u5982\u4f55\u51c6\u786e\u7684\u89e3\u6790\u7684\u63cf\u8ff0? \u6768\u6cfd\u68ee\u4e66\uff0c\u91cf\u5b50\u529b\u5b66\u7684\u7ecf\u5178\u6781\u9650\u3002<\/p>\n\n\n\n \u91cf\u5b50\u573a\u8bba\u4e2d\u6d89\u53ca\u5230\u7269\u7406\u91cf\uff0c\u4f46\u662f\u53ea\u662f\u6d89\u53ca\u5230\u6563\u5c04\u622a\u9762\uff0c\u5e76\u6ca1\u6709\u5f15\u5165\u89c2\u6d4b\u8005\u7684\u4f5c\u7528\u3002<\/p>\n\n\n\n Lagrange\u529b\u5b66\u4f18\u70b9\u662f\u5bb9\u6613\u6ee1\u8db3\u534f\u53d8\u6027\u8981\u6c42\uff0cHamiltonian\u529b\u5b66\u662f\u4fbf\u4e8e\u6b63\u5219\u91cf\u5b50\u5316\u3002<\/p>\n\n\n\n d^4x=cdtd^3x \u56db\u7ef4\u4f53\u79ef\u5143\uff0cLorentz\u4e0d\u53d8\uff0c\u4f53\u73b0\u5728Jacobi\u884c\u5217\u5f0f\u4e0a\u3002\u5bf9\u4f5c\u7528\u91cf\u53d8\u5206\u53ef\u4ee5\u5f97\u5230\u4e24\u4e2a\u6700\u91cd\u8981\u7ed3\u679c\uff0cE-L\u65b9\u7a0b\u4ee5\u53caNoether\u5b9a\u7406\u3002<\/strong><\/p>\n\n\n\n \u5728\u8bfa\u7279\u5b9a\u7406\u4e2d\u8981\u6c42 \u5bf9\u4f5c\u7528\u91cf\u7684\u53d8\u5206\u65f6\uff0c\u4e00\u76f4\u4fdd\u6301\u573a\u8981\u6ee1\u8db3E-L\u65b9\u7a0b\uff0c\u5bf9x^mu \u548c\u03c6\u573a\u7684\u53d8\u5206\u6709\u4e86\u9650\u5236\uff0c\u8fd9\u8868\u660e\uff0c\u5b88\u6052\u6d41\u5bf9\u5e94\u7740Lagrange\u91cf\u5728\u53d8\u6362\u4e0b\u5177\u6709\u4e0d\u53d8\u6027\uff0c\u8fd9\u5c31\u662f\u7fa4\u8bba\u4e2d\u63d0\u5230\u7684\u5bf9\u79f0\u6027\u3002\u4e5f\u5c31\u662f\u8bf4\u62c9\u6c0f\u5bc6\u5ea6\u7684\u67d0\u79cd\u5bf9\u79f0\u6027\u5bf9\u5e94\u4e8e\u67d0\u4e2a\u5b88\u6052\u5b9a\u5f8b\uff0c\u540c\u65f6\u4ece\u56db\u7ef4\u6d41\u5b88\u6052\u5b9a\u5f8b\u4e2d\u5bf9\u65f6\u95f4\u7684\u5fae\u5206\u53ef\u4ee5\u63d0\u53d6\u51fa\u5b88\u6052\u91cf\u3002Page 12<\/p>\n\n\n\n 220219<\/p>\n\n\n\n \u9a6c\u4e2d\u742a \u7269\u7406\u5b66\u4e2d\u7684\u7fa4\u8bba \u674e\u4ee3\u6570\u7bc7<\/p>\n\n\n\n \u7f6e\u6362\u7fa4\u5143\u7d20\u4e58\u79ef\u8ba1\u7b97\uff0c\u8f6e\u6362\uff0c\u8f6e\u6362\u957f\u5ea6l \u9636\u4e3al\u3002\u7f6e\u6362\u7684\u8f6e\u6362\u7ed3\u6784\u53ef\u4ee5\u7528\u914d\u5206\u51fd\u6570\u7ed9\u51fa\u3002<\/p>\n\n\n\n \u8f6e\u6362\u5207\u6362\u4e3a\u4e24\u4e2a\u8f6e\u6362\uff0c(a b c d)=(a b c)(c d).<\/p>\n\n\n\n \u966a\u96c6\uff0c\u5b50\u7fa4\uff0c\u5faa\u73af\u7fa4\uff0c\u5b50\u7fa4\u6307\u6570\uff0cd\u6307\u966a\u96c6\u4e2a\u6570\u3002<\/p>\n\n\n\n \u4e0d\u53d8\u5b50\u7fa4\uff0c\u6307\u6570\u4e3a2\u7684\u5fc5\u4e3a\u4e0d\u53d8\u5b50\u7fa4\u3002<\/p>\n\n\n\n \u8303\u5fb7\u8499\u884c\u5217\u5f0f\u8bc1\u660e\u4efb\u4f55\u7f6e\u6362\u53ef\u4ee5\u5206\u89e3\u4e3a\u5947\u7f6e\u6362\u8fd8\u662f\u5076\u7f6e\u6362\u662f\u786e\u5b9a\u7684\u3002<\/p>\n\n\n\n <\/p>\n\n\n\n \u5206\u6790\u7fa4\uff0c\u627e\u7fa4\u7684\u7c7b\u548c\u4e0d\u53d8\u5b50\u7fa4\u3002<\/strong><\/p>\n\n\n\n \u5bf9\u4e8e\u6709\u9650\u7fa4\uff0c\u6839\u636e\u7fa4\u4e58\u6cd5\u8868\u786e\u5b9a\u5143\u7d20\u7684\u9636\u6570\uff0c\u7136\u540e\u5728\u76f8\u540c\u9636\u6570\u5143\u7d20\u4e2d\u5224\u65ad\u662f\u5426\u540c\u7c7b\uff0c\u628a\u79ef\u7d2f\u7ec4\u5408\u8d77\u6765\uff0c\u5224\u65ad\u662f\u5426\u6784\u6210\u5b50\u7fa4\u3002\u82e5\u662f\u5219\u662f\u4e0d\u53d8\u5b50\u7fa4\u3002<\/p>\n\n\n\n \u6bd4\u8f83\u6570\u5b66\u7684\u5206\u6790Dn\u7fa4\u7684\u4e8c\u6b21\u8f74\u548cN\u6b21\u8f74\u89c1\u9a6c\u4e6617\u9875\u3002<\/p>\n\n\n\n \u540c\u6001\u4e0e\u540c\u6784\u7684\u533a\u522b\u5728\u4e8e\uff0c\u540c\u6001\u6838\u5185\u90e8\u5143\u7d20\u7684\u5dee\u522b\u5e76\u6ca1\u6709\u4f53\u73b0\u51fa\u6765\u3002<\/p>\n\n\n\n \u7fa4\u7684\u76f4\u79ef\u3002<\/p>\n\n\n\n 220218 <\/p>\n\n\n\n \u738b\u6b63\u884c \u8fd1\u4ee3\u7269\u7406\u5b66\u9898\u89e3<\/p>\n\n\n\n \u4eca\u5929\u505a\u4e863.9-3.13 \u82b1\u4e86\u4e09\u4e2a\u5c0f\u65f6\uff0c\u4e3b\u8981\u662f\u516c\u5f0f\u63a8\u5bfc\u3002<\/p>\n\n\n\n \u5bf9\u4e8eLorentz\u53d8\u6362\u77e9\u9635\uff0c\u7531\u4e8e\u5b83\u662f\u5bf9\u79f0\u77e9\u9635\u5e76\u4e14\u5173\u4e8e\u659c\u5bf9\u89d2\u7ebf\u4e5f\u662f\u5bf9\u79f0\u7684\u56e0\u6b64\uff0cx0\u5750\u6807\u53ef\u4ee5\u653e\u5728\u6700\u4e0b\u9762\u4e5f\u53ef\u4ee5\u653e\u5728\u6700\u4e0a\u9762\uff0c\u7ed3\u679c\u662f\u4e00\u81f4\u7684\u3002 \u8fd8\u662f\u81ea\u5df1\u52a8\u624b\u63a8\u5bfc\uff0c\u5149\u770b\u662f\u770b\u4e0d\u51fa\u6765\u7684\u3002<\/p>\n\n\n\n \u9759\u6b62\u7cfb\u5230\u52a8\u7cfb\u8981\u7528\u5230\u6d1b\u4f26\u5179\u53d8\u6362\u77e9\u9635\uff0c\u03b3 -\u03b2\u03b3\u3002<\/strong><\/p>\n\n\n\n \u52a8\u7cfb\u5230\u9759\u6b62\u7cfb\u53d8\u6362\u8981\u7528\u9006\u6d1b\u4f26\u5179\u53d8\u6362\u77e9\u9635 \u03b3 \u03b2\u03b3\u3002 \u6d1b\u4f26\u5179\u53d8\u6362\u77e9\u9635\u4e0d\u53d8\uff0c\u8003\u8651\u5230\u52a8\u7cfb\u91cc\u7684\u7c92\u5b50\u8fd0\u52a8\u65b9\u5411\u53d8\u6362\u65f6\uff0c\u53ea\u9700\u5bf9\u56db\u52a8\u91cf\u7684\u7b26\u53f7\u505a\u53d8\u6362\uff0c\u800c\u6d1b\u4f26\u5179\u53d8\u6362\u77e9\u9635\u4fdd\u6301\u4e0d\u53d8\u3002<\/strong><\/p>\n\n\n\n \u5b9e\u9a8c\u5ba4\u4e0b\u5df2\u77e5\u7c92\u5b50\u8fd0\u52a8 \u8003\u8651\u8870\u53d8\u540e\u4ea7\u7269\u4fe1\u606f\uff0c\u4e00\u822c\u7528\u8d28\u5fc3\u7cfb\uff08\u52a8\u5fc3\u7cfb\uff09\u6765\u8fc7\u5ea6\u4e00\u4e0b\u3002 \u8fd9\u65f6\u5019\u8981\u7075\u6d3b\u8fd0\u7528\u6d1b\u4f26\u5179\u53d8\u6362\u548c\u52a8\u5fc3\u7cfb\u7684\u6761\u4ef6\uff0c\u5373\u603b\u52a8\u91cf\u4e3a0\u3002\u52a8\u5fc3\u7cfb\u5bf9\u4e8e\u5b9e\u9a8c\u5ba4\u7cfb\u7684\u603b\u901f\u5ea6\u4e0d\u4e00\u5b9a\u4e3a0\u3002<\/p>\n\n\n\n \u6709\u6548\u6570\u5b57\u95ee\u9898\uff0c\u5df2\u77e5\u6700\u4f4e\u662f\u4e24\u4f4d\uff0c\u4e2d\u95f4\u53ef\u4ee5\u591a\u53d6\u4e24\u4f4d\u5982\u56db\u4f4d\uff0c\u6700\u540e\u7ed3\u679c\u53d6\u4e24\u4f4d\u6709\u6548\u6570\u5b57\u3002<\/strong><\/p>\n\n\n\n <\/p>\n\n\n\n \u9a6c\u4e2d\u742a \u7269\u7406\u5b66\u4e2d\u7684\u7fa4\u8bba \u674e\u4ee3\u6570\u7bc7<\/p>\n\n\n\n \u5bf9\u79f0\u7684\u6982\u5ff5\u4e0e\u53d8\u6362\u8054\u7cfb\u5728\u4e00\u8d77\uff0c\u6240\u8c13\u5bf9\u79f0\u5c31\u662f\u6307\u7684\u5728\u591a\u5c11\u79cd\u5bf9\u79f0\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\u3002\u5bf9\u4e8e\u91cf\u5b50\u529b\u5b66\uff0c\u63cf\u8ff0\u7cfb\u7edf\u7684\u91cf\u5c31\u662f\u54c8\u5bc6\u987f\u91cf\uff0c\u6240\u8c13\u7cfb\u7edf\u7684\u5bf9\u79f0\u6027\u9ad8\u4f4e\u5c31\u662f\u770b\u4fdd\u6301\u54c8\u5bc6\u987f\u91cf\u4e0d\u53d8\u7684\u5bf9\u79f0\u64cd\u4f5c\u591a\u4e0e\u5c11\u3002<\/p>\n\n\n\n \u5bf9\u4e8eDN\u7fa4\u5373\uff0c\u6574N\u591a\u8fb9\u5f62\u5bf9\u79f0\u7fa4\uff0c\u6709\u66f4\u6df1\u523b\u7684\u6570\u5b66\u63cf\u8ff0\uff0c\u4e24\u90e8\u5206C_N\u7fa4\u4ee5\u53ca\u4e8c\u9636\u5bf9\u79f0\u8f74\u7ec4\u6210\u7684N\u4e2a\u5143\u7d20\u7684\u96c6\u5408\u3002 \u9a6c\u4e2d\u742a\u8001\u5e08\uff0c\u674e\u7fa4\u674e\u4ee3\u6570\u7bc7\uff0cP7\uff0c1.10\u6709\u66f4\u7cbe\u5f69\u7684\u63cf\u5199\u3002<\/p>\n\n\n\n <\/p>\n\n\n\n <\/p>\n\n\n\n \u4eca\u5929\u8fd8\u641e\u660e\u767d\u4e24\u4e2a\u95ee\u9898\uff0c\u4e00\u4e2a\u662f[n cdot L, P]\u5bf9\u6613\u5b50\u600e\u4e48\u5199\u6210\u77e2\u91cf\u5206\u6790\u4e2d\u7684\u53c9\u4e58\u5f62\u5f0f\u3002<\/p>\n\n\n\n \u4e00\u4e2a\u662f \u56db\u7ef4\u65f6\u7a7a\u7684\u4e24\u79cd\u63cf\u8ff0\u65b9\u5f0f\uff0c\u5e9e\u52a0\u83b1\u63d0\u51fa\u7684x y z ict ,\u4ee5\u53caMinkovski\u63d0\u51fa\u7684 x y z t\u3002 \u4ed6\u4eec\u4e4b\u95f4\u5dee\u4e00\u4e2awick\u8f6c\u52a8 \u53ef\u4ee5\u628a\u6b27\u6c0f\u65f6\u7a7a\u8f6c\u5230\u95f5\u6c0f\u65f6\u7a7a\u3002 \u62d3\u6251\u6574\u4e2a\u53d8\u4e86\uff0c\u76f4\u89c9\u4e0a\u628aSO4\u7fa4\u53d8\u6210\u4e86Lorentz\u7fa4\u3002 \u660e\u5929\u8981\u5199\u4e00\u4efd\u8bb2\u4e49\u597d\u597d\u8ba8\u8bba\u8fd9\u4e2a\u4e8b\u3002<\/p>\n\n\n\n 220217<\/p>\n\n\n\n \u738b\u6b63\u884c \u8fd1\u4ee3\u7269\u7406\u9898\u89e3<\/p>\n\n\n\n \u4eca\u5929\u505a\u4e86\u51e0\u9053\u8fd1\u4ee3\u7269\u7406\u9898\u3002 800GeV\u8d28\u5b50\u548c200GeV\u8d28\u5b50\uff0c\u63a5\u8fd1\u5149\u901f\uff0c\u901f\u5ea6\u4ec5\u5dee3000m\/s\u3002 \u4f46\u662f\u5feb\u5ea6\u7684\u7edd\u5bf9\u5dee\u8ddd\u518d\u767e\u5206\u4e4b18\u5de6\u53f3\u3002 \u5feb\u5ea6\u662f\u65b0\u6982\u5ff5\uff0c\u7528\u4e8e\u63cf\u8ff0\u9ad8\u80fd\u7269\u7406\u4e2d\u7684\u73b0\u8c61\uff0c\u6240\u8c13\u9ad8\u80fd\u662f\u6307\u7684\u7c92\u5b50\u7684\u52a8\u80fd\u8d85\u8fc7\u9759\u8d28\u80fd\u91cf\u7ea7\uff0c\u76f8\u5bf9\u8bba\u6548\u679c\u663e\u8457\u3002<\/p>\n\n\n\n E=\u03b3mc^2 E_k=E-mc^2 <\/p>\n\n\n\n P=\u03b3mv \u5feb\u5ea6 Tanh Y= \u03b2 CoshY= \u03b3\u3002 \u6781\u7aef\u76f8\u5bf9\u8bba\u7c92\u5b50\u7c7b\u4f3c\u5149\u5b50\u3002<\/strong><\/p>\n\n\n\n \u76f8\u5e72\u4ea7\u751f\uff0c\u5de6\u65cbK0\u4ecb\u5b50\u5165\u5c04\u5230\u94c5\u7816\u53d8\u4e3a\u53f3\u65cbK0\u4ecb\u5b50\uff0c\u4ea7\u751f\u7c7b\u4f3c\u5438\u5f15\u529b\u7684\u6548\u679c\u3002 \u91cf\u5b50\u6548\u5e94\uff1f<\/p>\n\n\n\n \u505a\u8ba1\u7b97\u8981\u5e26\u5165\u6240\u6709\u516c\u5f0f\uff0c\u6700\u540e\u5e26\u5165\u6570\u636e\uff0c\u51cf\u5c0f\u8bef\u5dee\u548c\u51fa\u9519\u7684\u7a0b\u5ea6\u3002 \u6807\u8bb0\u53d6\u8fd1\u4f3c\u7684\u5730\u65b9<\/strong>\u3002<\/p>\n\n\n\n \u9ad8\u80fd\u6838\u5b50\u8f70\u51fb\u91cd\u79bb\u5b50\u6838\u6240\u91c7\u7528\u7684\u6a21\u578b\u7adf\u7136\u662f\u9ad8\u4e2d\u6c34\u5e73\u3002\u5982\u6b64\u7b80\u5355\uff0c\u53ef\u80fd\u662f\u8ba1\u7b97\u96be\u6613\u7a0b\u5ea6\u7684\u539f\u56e0\u5427\u3002<\/p>\n\n\n\n \u4fde\u5141\u5f3a \u5e7f\u4e49\u76f8\u5bf9\u8bba\u5f15\u8bba<\/p>\n\n\n\n \u5176\u6b21\u770b\u4e86\u5e7f\u76f8\uff0c\u5148\u770b\u72ed\u4e49\u76f8\u5bf9\u8bba\u90e8\u5206\u3002<\/p>\n\n\n\n \u5e7f\u76f8\u51fa\u53d1\u70b9\uff0c\u4e00\u5207\u53c2\u8003\u7cfb\uff0c\u60ef\u6027\u975e\u60ef\u6027\u63cf\u8ff0\u7269\u7406\u89c4\u5f8b\u5e94\u8be5\u662f\u5e73\u6743\u7684\u3002\u53e6\u5916\u5f15\u529b\u7406\u8bba\u5e94\u8be5\u662f\u534f\u53d8\u7684\u3002 \u63d0\u51fa\u7b49\u6548\u539f\u7406\uff0c\u5f15\u529b\u4e0e\u60ef\u6027\u529b\u4e0d\u53ef\u533a\u5206—> \u5e7f\u4e49\u76f8\u5bf9\u8bba\u7684\u7ebf\u7d22<\/strong>\u3002<\/p>\n\n\n\n MaxWell\u7406\u8bba\u4f3d\u5229\u7565\u53d8\u6362\u4e0b\u53d8\u5316\uff0cE\uff0cB\u53d8\u5316\u540e\u5b89\u57f9\u5b9a\u5f8b\uff0c\u6cd5\u62c9\u7b2c\u5b9a\u5f8b\u90fd\u4f1a\u53d8\u3002 \u7231\u56e0\u65af\u5766\u7d27\u6293\u5149\u901f\u4e0d\u53d8\uff0c\u60ef\u6027\u7cfb\u7269\u7406\u4e00\u81f4->SR \u7ebf\u7d22\u3002\u6ca1\u6709\u597d\u7684\u60ef\u6027\u7cfb\uff0c\u901f\u5ea6\u591a\u5927\uff0c\u591a\u4e48\u9759\u6b62\uff0c\u5b8c\u5168\u662f\u76f8\u5bf9\u7684\u6982\u5ff5\u3002<\/p>\n\n\n\n \u5e7f\u76f8\u7684\u76ee\u6807\uff0c\u627e\u5230\u5f15\u529b\u52bf\u4e0e\u5f15\u529b\u6e90\u7684\u65b9\u7a0b\u3002 \u725b\u987f\u5f15\u529b\u662f\u9759\u6b62\u5f15\u529b\u6e90\uff0c\u7231\u56e0\u65af\u5766\u662f\u6240\u6709\u5f15\u529b\u573a\u3002<\/p>\n\n\n\n \u590d\u4e60\u5f20\u91cf\u5206\u6790\uff0c\u5f20\u91cf\u5b9a\u4e49\uff0c\u4e0d\u540c\u5750\u6807\u7cfb\u4e4b\u95f4\u7684\u53d8\u6362\u3002 \u5f20\u91cf\u5c31\u662f\u7814\u7a76\u6570\u7ec4\u4e0e\u5750\u6807\u7cfb\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/strong><\/p>\n\n\n\n \u5bf9\u79f0\u5f20\u91cf() \u53cd\u886c\u5f20\u91cf[]\u3002<\/p>\n\n\n\n \u6807\u91cf\u968f\u4fbf\u5e73\u79fb\uff0c\u534f\u53d8\u77e2\u91cf\uff0c\u9006\u53d8\u77e2\u91cf\u5e73\u79fb\uff0c\u4e3b\u8981\u662f\u60f3\u8ba8\u8bba\u5f20\u91cf\u51cf\u6cd5\uff0c\u7d27\u63a5\u7740\u662f\u5f20\u91cf\u5bfc\u6570\uff0c\u5b9a\u4e49\u4e00\u4e2a\u8054\u7edc\u573a\u6765\u5f3a\u884c\u5b9a\u4e49\u5e73\u79fb\u4e4b\u540e\u7684\u77e2\u91cf\u4ecd\u7136\u4e3a\u5f20\u91cf\u3002 \u534f\u53d8\u9006\u53d8\u5e73\u79fb\u516c\u5f0f\u4e0d\u540c\u3002 \u3001<\/p>\n\n\n\n \u534f\u53d8\u5fae\u5546\u6ca1\u770b\u5b8c\uff0c\u4e3a\u5565\u6ca1\u6709\u9006\u53d8\u5fae\u5546\uff1f<\/p>\n\n\n\n <\/p>\n\n\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" 220227 \u91cf\u5b50\u529b\u5b66 \u859b\u5b9a\u8c14\u65b9\u7a0b\u5c31\u662f\u91cf\u5b50\u5316\u4e4b\u540e\u7684\u7ed3\u679c\uff0c\u662f\u91cf\u5b50\u5316\u5e73\u9762\u6ce2\u7684\u6f14\u5316\u65b9\u7a0b\u3002\u6240\u4ee5\u5728\u6c42\u89e3\u4f8b\u5982\u8c10\u632f\u5b50\u95ee\u9898\uff0c\u6c42 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4],"tags":[11,14,9],"class_list":["post-281","post","type-post","status-publish","format-standard","hentry","category-4","tag-academy","tag-phd","tag-9"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/318419.xyz\/index.php?rest_route=\/wp\/v2\/posts\/281","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/318419.xyz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/318419.xyz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/318419.xyz\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/318419.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=281"}],"version-history":[{"count":62,"href":"http:\/\/318419.xyz\/index.php?rest_route=\/wp\/v2\/posts\/281\/revisions"}],"predecessor-version":[{"id":573,"href":"http:\/\/318419.xyz\/index.php?rest_route=\/wp\/v2\/posts\/281\/revisions\/573"}],"wp:attachment":[{"href":"http:\/\/318419.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/318419.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=281"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/318419.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\\(E=mc^2\\)<\/code><\/p>\n\n\n\n\u72ed\u4e49\u76f8\u5bf9\u8bba\u8868\u660e\uff0c\u4efb\u4f55\u65f6\u7a7a\u8fc7\u7a0b\u90fd\u53d1\u751f\u4e8eMinkowski Sapce\u3002
\u91cf\u5b50\u529b\u5b66\u8868\u660e\uff0c\u4efb\u4f55\u5fae\u89c2\u7269\u7406\u8fc7\u7a0b\u90fd\u53d1\u751f\u4e8eHilbert\u7a7a\u95f4\u3002
<\/pre>\n\n\n\n\u5bf9\u4e8e\u4e0d\u719f\u6089\u7684\u516c\u5f0f\uff0c\u67e5\u4e66\u4e4b\u540e\u4ecd\u7136\u9700\u8981\u82b1\u65f6\u95f4\u5f04\u6e05\u695a\u6bcf\u4e2a\u91cf\u7684\u542b\u4e49\u624d\u80fd\u8fd0\u7528\u7684\u8bdd\u8bf4\u660e\u5e76\u672a\u719f\u7ec3\u638c\u63e1\uff0c\u8fd8\u9700\u8981\u81ea\u5df1\u518d\u63a8\u5230\u51e0\u904d\u3002<\/strong><\/pre>\n\n\n\n
\u5b66\u4e60\u7269\u7406\u4e00\u5b9a\u8981\u6709\u8bb0\u5fc6\uff0c\u5934\u8111\u4e2d\u6ca1\u6709\u6e05\u695a\u7684\u8bb0\u4f4f\u4f55\u8c08\u7406\u89e3\uff1f<\/strong>\u6ca1\u6709\u7406\u89e3\u7684\u53ef\u4ee5\u5148\u8bb0\u4f4f\uff0c\u6162\u6162\u7684\u4e5f\u662f\u53ef\u4ee5\u61c2\u7684\u3002
<\/pre>\n\n\n\n