Exponentially confining potential well

DOI10.1134/S0040577921010050zbMath1467.81030arXiv2005.09080OpenAlexW3173533917MaRDI QIDQ2036322

A. D. Alhaidari

Publication date: 29 June 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09080

zbMATH Keywords

Bessel polynomialexponential potentialtridiagonal representation approach

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

Progressive approximation of bound states by finite series of square-integrable functions ⋮ TRIANGULAR REPRESENTATION OF THE JOST-TYPE SOLUTION TO THE PERTURBED MODIFIED MATHIEU EQUATION ⋮ Deformed Morse-like potential

Uses Software

• DLMF
• CAOP
• OPQ
• retode

Cites Work

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• Open problem in orthogonal polynomials
• Solution of an open problem about two families of orthogonal polynomials
• Orthogonal polynomials derived from the tridiagonal representation approach
• Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• SO(2,1) Lie algebra, the Jacobi matrix and the scattering states of the Morse oscillator
• Reconstructing the Potential Function in a Formulation of Quantum Mechanics Based on Orthogonal Polynomials
• Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
• Quantum mechanics without potential function
• The Factorization Method

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