Effective Hamiltonian with holomorphic variables

Details Effective Hamiltonian with holomorphic variables Effective Hamiltonian with holomorphic variables

1998-12-02

arxiv.org/abs/cond-mat/9812043v1

Physics

Condensed Matter

Statistical Mechanics

Proceedings of the Conference "Path Integrals from peV to TeV - 50 Years from Feynman's paper" (Florence, August 1998) -- 2 pa

Scientific paper

The pure-quantum self-consistent harmonic approximation (PQSCHA) permits to study a quantum system by means of an effective classical Hamiltonian. In this work the PQSCHA is reformulated in terms of the holomorphic variables connected to a set of bosonic operators. The holomorphic formulation, based on the olomorphic path integral for the Weyl symbol of the density matrix, makes it possible to directly approach general Hamiltonians given in terms of bosonic creation and annihilation operators.

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