Particle confined in modified ring-shaped potential

The spectrum of a particle confined in Hulthén plus ring-shaped potential is obtained by solving the time-independent Schrödinger equation numerically. The effect of potential parameters on various properties of the particle have been investigated in detail. The energy levels, radial matrix elements...

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Bibliographic Details
Published inPhysica scripta Vol. 95; no. 3; pp. 35404 - 35417
Main Authors Lumb Talwar, Shalini, Lumb, Sonia, Sen, K D, Prasad, Vinod
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.03.2020
Subjects
comparison theorem
Hulthén potential
oscillator strength
polarizability
ring-shaped potential
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Summary:The spectrum of a particle confined in Hulthén plus ring-shaped potential is obtained by solving the time-independent Schrödinger equation numerically. The effect of potential parameters on various properties of the particle have been investigated in detail. The energy levels, radial matrix elements, oscillator strengths and polarizabilities of the particle have been found to show strong dependence on the confining potential parameters. The presence of the ring potential is found to appreciably alter the angular part of dipole matrix elements. Also, it is shown that the comparison theorem of Quantum Mechanics for energy eigenvalues for four different potentials, viz., Coulomb, Hulthén, Yukawa and Hulthén2 is independent of the presence of ring potential.
Bibliography:PHYSSCR-109216.R1
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ab520b