Thermal properties of Deng-Fan-Eckart potential model using Poisson summation approach

DOI10.1007/S10910-020-01107-4zbMath1437.81205arXiv2009.09292OpenAlexW3100897580MaRDI QIDQ2173268

Gaotsiwe Joel Rampho, U. S. Okorie, C. O. Edet, G. Osobonye, Ramazan Sever, Akpan N. Ikot

Publication date: 22 April 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09292

zbMATH Keywords

eigenvaluesfactorization methodeigenfunctionthermal propertiesEckart potentialDeng-Fan molecular potentialpekeris-type approximation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Molecular physics (81V55) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (3)

Topological defects with generalized Hulthen–Coulomb-inverse quadratic Yukawa potential on eigenvalue solution under Aharonov–Bohm flux field ⋮ Nonlinear optical properties in \(GaAs/GA_{0.7}Al_{0.3}As\) spherical quantum dots with Like-Deng-Fan-Eckart potential ⋮ Analytical solutions of fractional Schrödinger equation and thermal properties of Morse potential for some diatomic molecules

Cites Work

• Unnamed Item
• Energy spectrum for a modified Rosen-Morse potential solved by proper quantization rule and its thermodynamic properties
• Spectroscopic study of some diatomic molecules via the proper quantization rule
• D-dimensional energies for scandium monoiodide
• Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules
• Factorization method in quantum mechanics
• Solutions of the Klein-Gordon equation with the improved Tietz potential energy model
• Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
• Bound state solutions of the Deng-Fan molecular potential with the Pekeris-type approximation using the Nikiforov-Uvarov (N-U) method
• Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule
• Approximate eigenvalue and eigenfunction solutions for the generalized Hulthén potential with any angular momentum
• Quantization rule solution to the Hulthén potential in arbitrary dimension with a new approximate scheme for the centrifugal term
• Energy spectra for modified Rosen–Morse potential solved by the exact quantization rule
• On the Vibrations of Polyatomic Molecules
• SOLVING THE SCHRÖDINGER EQUATION FOR BOUND STATES WITH MATHEMATICA 3.0
• Relativistic Treatment of Spinless Particles Subject to a Tietz—Wei Oscillator
• Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems
• Anyl-state solutions of the Hulthén potential by the asymptotic iteration method

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