data/59.json
{
"definitions" : {
"n" : [ {
"Q2303886" : "index (the numbering of various objects within the mathematical notation)"
} ],
"\\mathbb{Z}" : [ {
"Q1096885" : "lattice (subgroup of a real vector space or a Lie group )"
} ],
"d" : [ {
"Q4440864" : "dimension (minimum number of coordinates within a space needed to specify any point)"
} ],
"\\psi" : [ "probability distribution", {
"Q2362761" : "wave function"
} ],
"t" : [ {
"Q11471" : "time (dimension in which events can be ordered from the past through the present into the future)"
} ],
"C" : [ {
"Q3176558" : "positive number (real number strictly greater than zero)"
} ]
},
"constraints" : [ ],
"math_inputtex" : " \\sum_{n \\in \\mathbb{Z}^d} |\\psi(t,n)|^2 |n| \\leq C ",
"math_inputtex_semantic" : "\\sum_{\\w{Q2303886}{n} \\in \\w{Q1096885}{\\mathbb{Z}}^{\\w{Q4440864}{d}}} |\\wf{Q2362761}{\\psi}(\\w{Q11471}{t},n)|^2 |n| \\leq \\w{Q3176558}{C}",
"correct_tex" : " \\sum_{n \\in \\mathbb{Z}^d} |\\psi(t,n)|^2 |n| \\leq C ",
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xref=\"p1.1.m1.1.17.1.2.2.2.1.1.cmml\">|</mo>\n </mrow>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">2</mn>\n </msup>\n <mo id=\"p1.1.m1.1.17.1.2.1\" xref=\"p1.1.m1.1.17.1.2.1.cmml\"></mo>\n <mrow id=\"p1.1.m1.1.17.1.2.3\" xref=\"p1.1.m1.1.17.1.2.3.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.17.1.2.3.1.1.cmml\">|</mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">n</mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.17.1.2.3.1.1.cmml\">|</mo>\n </mrow>\n </mrow>\n </mrow>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">≤</mo>\n <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">C</mi>\n </mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\n <leq id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\"/>\n <apply id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17.1\">\n <apply id=\"p1.1.m1.1.17.1.1.cmml\" xref=\"p1.1.m1.1.17.1.1\">\n <csymbol cd=\"ambiguous\" 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id=\"p1.1.m1.1c\">\\sum_{n\\in\\mathbb{Z}^{d}}|\\psi(t,n)|^{2}|n|\\leq C</annotation>\n </semantics>\n</math>",
"uri" : "https://en.formulasearchengine.com/w/index.php?oldid=10209#math10209.4",
"title" : "Anderson_localization",
"type" : "relation"
}