Pseudo-Gaussian quantum models
Mathematical Physics
2014-10-07 v1 math.MP
Quantum Physics
Abstract
A new family of one-dimensional quantum models is proposed in terms of new potentials with a Gaussian asymptotic behavior but approaching to the potential of the harmonic o scillator when . It is shown that, in the energy basis of the harmonic oscillator, the matrix elements of the Hamiltonian operators of these new models can be derived from generating functionals.
Cite
@article{arxiv.0706.1644,
title = {Pseudo-Gaussian quantum models},
author = {Ion I. Cotaescu},
journal= {arXiv preprint arXiv:0706.1644},
year = {2014}
}