Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation

DOI10.1063/1.5022008zbMath1390.81154OpenAlexW2801434752MaRDI QIDQ4565452

Fevzi Buyukkilic, Hale Karayer, Doğan Demirhan

Publication date: 12 June 2018

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

Full work available at URL: https://doi.org/10.1063/1.5022008

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (5)

Exact solutions of position-dependent mass Schrödinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov-Uvarov method ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Analytical eigenstate solutions of Schrödinger equation with noncentral generalized oscillator potential by extended Nikiforov-Uvarov method ⋮ Comment on “Solution of Schrödinger equation for two different potentials using extended Nikiforov–Uvarov method and polynomial solutions of biconfluent Heun equation” [J. Math. Phys. 59, 053501 (2018)] ⋮ Bound state solution Schrödinger equation for extended Cornell potential at finite temperature

Cites Work

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• Some special solutions of biconfluent and triconfluent Heun equations in elementary functions by extended Nikiforov-Uvarov method
• Solving a two-electron quantum dot model in terms of polynomial solutions of a biconfluent Heun equation
• Exact solution of inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\)
• HEUN FUNCTIONS AND THEIR USES IN PHYSICS
• On Schr\"odinger equation with potential U = - {\alpha}r^{-1} + {\beta}r + kr^{2} and the bi-confluent Heun functions theory
• Exact polynomial solutions of second order differential equations and their applications
• Exact solution to the Schrödinger’s equation with pseudo-Gaussian potential
• Polynomial Solutions of the Schrödinger Equation for the “Deformed” Hyperbolic Potentials by Nikiforov–Uvarov Method
• Extension of Nikiforov-Uvarov method for the solution of Heun equation
• On a solution of the Schrödinger equation with a hyperbolic double-well potential
• The Coulomb problem on a 3-sphere and Heun polynomials

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