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Open Quantum Systems Decoherence

Treatment of N-dimensional Schrödinger equation for anharmonic potential via Laplace transform

arXiv
Authors: Tapas Das

Year

2014

Paper ID

47918

Status

Preprint

Abstract Read

~2 min

Abstract Words

65

Citations

N/A

Abstract

First time anharmonic potential V(r)=ar2+br-frac{c}{r} ,(a>0) is examined for N-dimensional Schrödinger equation via Laplace transformation method. In transformed space, the behavior of the Laplace transform at the singular point of the differential equation is used to study the eigenfunctions and the energy eigenvalues.The results are easy to derive and identical with those obtained by other methods.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • First time anharmonic potential V(r)=ar^2+br-fraccr ,(a>0) is examined for N-dimensional Schrödinger equation via Laplace transformation method.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1408.6139 [2] arXiv https://arxiv.org/abs/1408.6139 [3] Publisher https://arxiv.org/abs/1408.6139

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