Point Charge Subject to an Attractive Inverse-Square-Type Potential and Anharmonic-Type Potentials

By applying the WKB (Wentzel, Kramers, Brillouin) approximation, we search for bound state solutions to the time-independent Schrödinger equation for an attractive inverse-square potential and anharmonic oscillators that stem from the interaction of a point charge with radial electric fields. We foc...

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Bibliographic Details
Published inUniverse (Basel) Vol. 9; no. 3; p. 151
Main Authors Veloso, Jardel de Carvalho, Bakke, Knut
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2023
Subjects
anharmonic oscillators
Approximation
attractive inverse-square potential
Eigenvalues
Electric fields
Energy
Magnetic fields
quantum revivals
Schrodinger equation
semiclassical approximation
Symmetry
WKB approximation
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Summary:By applying the WKB (Wentzel, Kramers, Brillouin) approximation, we search for bound state solutions to the time-independent Schrödinger equation for an attractive inverse-square potential and anharmonic oscillators that stem from the interaction of a point charge with radial electric fields. We focus on the bound states associated with the s-waves. Further, we obtain the revival time associated with each case studied.
Bibliography:ObjectType-Article-1
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ISSN:2218-1997
2218-1997
DOI:10.3390/universe9030151