Generating functional of temperature greens's functions of a harmonic oscillator

Mrityunjay Kumar, Rahul K. Singh

Luca Nanni

M. Y. Zhou, L. F. Chen, Huaiwen Guo

Charles W. Struck, William H. Fonger

Massimo Blasone A, Petr Jizba B, L. A. Smaldone

The aim of this paper is to study mixed-representation Green's functions from the point of view of coherent-state path integrals. This is achieved by using the machinery of generalized generating functionals of Green's functions, previously introduced by the present authors in the context of standard phase-pace path integrals. The obtained results are illustrated in the context of the linear harmonic oscillator.

H. Ahmedov, I. H. Duru

By using the generating function formula for the product of two q-Hermite polynomials, q-deformation of the Feynman Green’s function for the harmonic oscillator is obtained.