Exponential operators and the algebraic description of quantum confined systems

DOI10.1063/1.3625627zbMath1272.81050OpenAlexW2051442156MaRDI QIDQ2849716

A. Baha Balantekin, A. N. F. Aleixo

Publication date: 24 September 2013

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

Full work available at URL: https://doi.org/10.1063/1.3625627

zbMATH Keywords

Baker-Campbell-Hausdorff formulaHadamard lemmaZassenhaus product formula

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analysis on real and complex Lie groups (22E30) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

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• Exponential Operators and Parameter Differentiation in Quantum Physics
• The Factorization Method
• On the exponential solution of differential equations for a linear operator

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