The quartic anharmonic oscillator and its associated nonconstant magnetic field

DOI10.1063/1.531924zbMath0887.22026OpenAlexW2091432721MaRDI QIDQ4379239

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Publication date: 25 February 1998

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

Full work available at URL: https://doi.org/10.1063/1.531924

zbMATH Keywords

magnetic fieldrepresentationsnilpotent groupsanharmonic oscillators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (2)

Solving the Schrödinger equation by reduction to a first-order differential operator through a coherent states transform ⋮ Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group

Cites Work

• Quantum mechanics and nilpotent groups. I: The curved magnetic field
• Precise determination of the energy levels of the anharmonic oscillator from the quantization of the angle variable

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