Pseudo-Gaussian quantum models

Details Pseudo-Gaussian quantum models Pseudo-Gaussian quantum models

2007-06-12

arxiv.org/abs/0706.1644v1

Physics

Mathematical Physics

7 pages, 1 figure

Scientific paper

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 $x\to 0$. 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.

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