ag-gipp/GoUldI

{
  "definitions" : {
    "Z" : [ "canonical partition function", {
      "Q230963" : "Partition function (statistical mechanics) "
    } ],
    "j" : [ {
      "Q2303886" : "index (the numbering of various objects within the mathematical notation )"
    } ],
    "g_{j}" : [ "degeneracy factor", { } ],
    "\\mathrm{e}" : [ {
      "Q168698" : "exponential function (unique function which is its own derivative and equals one at zero)"
    } ],
    "\\beta" : [ "inverse temperature", {
      "Q917476" : "Thermodynamic beta"
    } ],
    "E_{j}" : [ "energy level", { } ]
  },
  "constraints" : [ ],
  "math_inputtex" : " Z = \\sum_{j} g_j \\cdot \\mathrm{e}^{- \\beta E_j}",
  "math_inputtex_semantic" : "\\wf{Q230963}{Z} = \\sum_{\\w{Q2303886}{j}} g_j \\cdot \\mathrm{e}^{-{\\w{Q917476}{\\beta} \\w{Q669532}{E}_j}}",
  "correct_tex" : " Z = \\sum_{j} g_j \\cdot \\mathrm{e}^{- \\beta E_j}",
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  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=3897#math3897.2",
  "title" : "Partition_function_(statistical_mechanics)",
  "type" : "equation",
  "check" : {
    "tree" : true,
    "qid" : true
  }
}