The ground state energy of a quantum system is extracted from the large imaginary-time limit of the phase space integral of the star exponential of the Hamiltonian, a reformulation of the trace formula.
Wigner, On the Quantum Correction For Thermodynamic Equilibrium , Phys
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The Feynman-Kac formula in deformation quantization
The ground state energy of a quantum system is extracted from the large imaginary-time limit of the phase space integral of the star exponential of the Hamiltonian, a reformulation of the trace formula.