data/218.json
{
"definitions" : {
"\\Psi" : [ {
"Q688945" : "Dirac spinor",
"Q230883" : "Quantum state"
} ],
"L" : [ "Lagrangian density", {
"Q505735" : "Lagrangian"
} ],
"i" : [ {
"Q193796" : "imaginary number"
} ],
"\\gamma}^{\\mu}" : [ {
"Q1151645" : "Gamma matrices"
} ],
"\\gamma}^{0}" : [ "Dirac basis", {
"Q193796" : "Dirac basis"
} ],
"\\mu" : [ "Lorentz index", {
"Q2303886" : "index"
} ],
"\\Phi" : [ "?", { } ],
"q" : [ "?", { } ],
"\\bar{\\Psi}" : [ "?", { } ],
"\\partial_{\\mu}" : [ "partial derivative on Minkowski space", { } ]
},
"constraints" : [ "\\Psi = \\psi(~x)e^{−iEt}" ],
"math_inputtex" : "{\\it L}=i\\bar{\\Psi}{\\gamma}^{\\mu}{\\partial}_{\\mu}{\\Psi}-\\bar{\\Psi}{\\Psi}-q\\bar% {\\Psi}{\\gamma}^{0}{\\Psi}\\Phi+{1\\over 2}({\\partial}_{\\mu}\\Phi)({\\partial}^{\\mu}% \\Phi).",
"math_inputtex_semantic" : "\\wf{Q505735}{\\it L} = \\w{Q193796}{i} \\bar{\\w{Q688945}{\\Psi}}{\\w{Q1151645}{\\gamma}}^{\\w{Q2303886}{\\mu}}{\\partial}_{\\mu}{\\Psi} - \\bar{\\Psi}{\\Psi}-q \\bar{\\Psi}\\w{Q193796}{{\\gamma}^0}{\\Psi} \\w{Q688945}{\\Phi} + {1\\over 2}({\\partial}_{\\mu}\\Phi)({\\partial}^{\\mu}\\Phi)",
"correct_tex" : "{\\it L}=i\\bar{\\Psi}{\\gamma}^{\\mu}{\\partial}_{\\mu}{\\Psi}-\\bar{\\Psi}{\\Psi}-q\\bar{\\Psi}{\\gamma}^{0}{\\Psi}\\Phi+{1\\over 2}({\\partial}_{\\mu}\\Phi)({\\partial}^{\\mu}\\Phi)",
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L=i\\bar{\\Psi}{\\gamma}^{\\mu}{\\partial}_{\\mu}{\\Psi}-\\bar{\\Psi}{\\Psi}-q\\bar{%\n\\Psi}{\\gamma}^{0}{\\Psi}\\Phi+{1\\over 2}({\\partial}_{\\mu}\\Phi)({\\partial}^{\\mu}\\Phi)</annotation>\n </semantics>\n</math>",
"uri" : "https://arxiv.org/abs/hep-th/9410244",
"title" : "Relating he Maxwell system and the Dirac equations",
"comment" : "psi, for this formula, is an eigenstate according to page 3. Q1151645 is in plural (gamma matrices). Dont know what Phi, q and \\bar{\\Psi} are. I can only find Phi here https://en.wikipedia.org/wiki/Minkowski_space ",
"type" : "equation",
"ntcir12-type" : "18",
"formula" : "1_5.3",
"page" : "4",
"ntcir12-relevance" : "4"
}