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Convergent methods for calculating thermodynamic Green functions

1984/08/01 by Samuel P. Bowen, Clayton D. Williams, C. D. Williams +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Advanced Chemical Physics Studies #Spectroscopy and Quantum Chemical Studies

paper · doi:10.1103/physreva.30.932

Abstract

A convergent method of approximating thermodynamic Green functions is outlined briefly. The method constructs a sequence of approximants which converges independently of the strength of the Hamiltonian's coupling constants. Two new concepts associated with the approximants are introduced: the resolving power of the approximation, and conditional creation (annihilation) operators. These ideas are illustrated on an exactly soluble model and a numerical example. A convergent expression for the scattering rate in a field theory is also derived.

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