Physics – Mathematical Physics
Scientific paper
2007-06-12
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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