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Open Quantum Systems Decoherence Quantum Simulation

Pseudo-Gaussian quantum models

arXiv

Authors: Ion I. Cotaescu

Year

2007

Paper ID

49998

Status

Preprint

Abstract Read

~2 min

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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 x→ 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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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.1644 [2] arXiv https://arxiv.org/abs/0706.1644 [3] Publisher https://arxiv.org/abs/0706.1644

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