Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant

DOI10.1063/1.3615516zbMath1272.81046OpenAlexW2048900337MaRDI QIDQ2849708

M. Sebawe Abdalla, Peter G. L. Leach

Publication date: 24 September 2013

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

Full work available at URL: https://doi.org/10.1063/1.3615516

zbMATH Keywords

harmonic oscillatorinfluence of constant magnetic field

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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Motion of charged particles (78A35)

Related Items (6)

Exact time-evolution of a generalized two-dimensional quantum parametric oscillator in the presence of time-variable magnetic and electric fields ⋮ Information theoretic measures of uncertainty of a noncommutative anisotropic oscillator in a homogeneous magnetic field ⋮ Noncommutative anisotropic oscillator in a homogeneous magnetic field ⋮ Superstatistics of anisotropic oscillator in a noncommutative plane ⋮ Search of exact invariants for \(\mathcal{PT}\) and non-\(\mathcal{PT}\)-symmetric complex Hamiltonian systems ⋮ Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach

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