A Statistical Mechanical Analysis on the Bound State Solution of an Energy-Dependent Deformed Hulthen Potential Energy

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LÜTFÜOĞLU B. C., Ikot A. N., Okorie U. S., Ngiangia A. T.

COMMUNICATIONS IN THEORETICAL PHYSICS, vol.71, no.9, pp.1127-1138, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71 Issue: 9
  • Publication Date: 2019
  • Doi Number: 10.1088/0253-6102/71/9/1127
  • Journal Name: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1127-1138
  • Keywords: Klein-Gordon equation, energy-dependent deformed Hulthen potential energy, bound state solution, thermodynamic properties, KLEIN-GORDON EQUATION, GIBBS FREE-ENERGY, MOLECULAR SPINLESS ENERGIES, THERMODYNAMIC PROPERTIES, DIATOMIC-MOLECULES, STATIONARY STATES, WAVE-EQUATION, GASES CL-2, VECTOR, SCALAR
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

In this article, we investigate the bound state solution of the Klein Gordon equation under mixed vector and scalar coupling of an energy-dependent deformed Hulthen potential in D dimensions. We obtain a transcendental equation after we impose the boundary conditions. We calculate energy spectra in four different limits and in arbitrary dimension via the Newton-Raphson method. Then, we use a statistical method, namely canonical partition function, and discuss the thermodynamic properties of the system in a comprehensive way. We find out that some of the thermodynamic properties overlap with each other, some of them do not.