Exact Solution of the Schrödinger Equation for Composition of Coulomb and Oscillator Potentials

DOI10.33581/1561-4085-2020-24-2-203-206zbMath1530.81066OpenAlexW3180925218MaRDI QIDQ6174511

Vladimir V. Kudryashov, A. V. Baran

Publication date: 17 August 2023

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33581/1561-4085-2020-24-2-203-206

zbMATH Keywords

radial wave functionsenergy levelscomposition of Coulomb and oscillator potentials

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Graph representations (geometric and intersection representations, etc.) (05C62) Electro- and magnetostatics (78A30) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical radial basis function approximation (65D12)

Cites Work

• Coulomb plus power-law potentials in quantum mechanics
• Exact solutions to the Schrödinger equation for potentials with Coulomb and harmonic oscillator terms

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