• Corpus ID: 235485362

Fourier formula for quantum partition functions

  title={Fourier formula for quantum partition functions},
  author={Andras Suto},
  • A. Suto
  • Published 18 June 2021
  • Mathematics
1 The result The Feyman-Kac formula [F1, K1,2] provides a stochastic representation of the partition function of quantum systems [F2, G1-4]. Working on it one can arrive at a deterministic expression as follows. Theorem. Consider N identical bosons or fermions on a d ≥ 1-torus of side L which interact via a pair potential u : R → R of the following properties: 1. u(−x) = u(x). 2. The Fourier-transform û of u exists and û ∈ L ∩ C(R). 3. u(x) = O ( |x| ) 
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