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Exact Analytical Solution of theN-Dimensional Radial Schrödinger Equation with Pseudoharmonic Potential via Laplace Transform Approach

Exact analytical solution of the \(N\)-dimensional radial Schrödinger equation with pseudoharmonic potential via Laplace transform approach
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2015Embargo end date: 01 Jan 2013 English Publisher:WileyJournal:Advances in High Energy Physics, volume 2,015, pages 1-8 (issn: 1687-7357, eissn: 1687-7365, Copyright policy )
Authors: Das, Tapas; Arda, Altuğ;

doi: 10.1155/2015/137038 , 10.48550/arxiv.1308.5295

arXiv: 1308.5295

Exact Analytical Solution of theN-Dimensional Radial Schrödinger Equation with Pseudoharmonic Potential via Laplace Transform Approach

Abstract

The second-orderN-dimensional Schrödinger equation with pseudoharmonic potential is reduced to a first-order differential equation by using the Laplace transform approach and exact bound state solutions are obtained using convolution theorem. Some special cases are verified and variations of energy eigenvaluesEnas a function of dimensionNare furnished. To give an extra depth of this paper, the present approach is also briefly investigated for generalized Morse potential as an example.

Related Organizations
Keywords

High Energy Physics - Theory, Quantum Physics, High Energy Physics - Theory (hep-th), Physics, QC1-999, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Quantum Physics (quant-ph), Mathematical Physics

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 19
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Top 10%
Green
gold