Exact analytical solutions of the Schrödinger equation for a two dimensional purely sextic double-well potential

DOI10.1063/1.4997532zbMath1384.81025OpenAlexW2793979265MaRDI QIDQ4635272

Dai-Nam Le, Ngoc-Tram D. Hoang, Le Van Hoang

Publication date: 16 April 2018

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

Full work available at URL: https://doi.org/10.1063/1.4997532

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)

Related Items (5)

Algebraic structure underlying spherical, parabolic, and prolate spheroidal bases of the nine-dimensional MICZ–Kepler problem ⋮ Semiexact solutions of the Razavy potential ⋮ High-accuracy numerical calculations of the bound states of a hydrogen atom in a constant magnetic field with arbitrary strength ⋮ Semi-exact Solutions of Konwent Potential ⋮ Parabolic, prolate spheroidal bases and relation between bases of the nine-dimensional MICZ-Kepler problem

Uses Software

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Cites Work

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• Exact analytic solutions for the quantum mechanical sextic anharmonic oscillator
• The energy levels of the sextic double-well potential
• Operator method for coupled anharmonic oscillators
• The algebraic method for two-dimensional quantum atomic systems
• Families of interrelated Schrödinger equations
• Quasi-exactly solvable systems and orthogonal polynomials
• Sextic anharmonic oscillators and orthogonal polynomials

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