On the \(q\)-analogues of the Zassenhaus formula for disentangling exponential operators.

DOI10.1016/S0377-0427(03)00633-2zbMath1036.33012arXivmath-ph/0212068MaRDI QIDQ1414352

D. Massart

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0212068

zbMATH Keywords

\(q\)-analogueZassenhaus formula

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Lie algebras and Lie superalgebras (17B99) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (5)

Closed forms of the Zassenhaus formula ⋮ Generating \(q\)-commutator identities and the \(q\)-BCH formula ⋮ Semi‐discrete time‐domain sensitivity analysis of electromagnetic field ⋮ Representations of quantum superalgebra U q[gl(2|1) in a coherent state basis and generalization] ⋮ The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem

Cites Work

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• Operatormethoden für q-identitäten
• The \(q\)-Zassenhaus formula
• Ordering of Boson operator functions by the Hausdorff similarity transform
• A q-analogue of the Campbell-Baker-Hausdorff expansion
• The reversedq-exponential functional relation
• Exponential Operators and Parameter Differentiation in Quantum Physics
• A Note on Saturation in Microwave Spectroscopy
• On the exponential solution of differential equations for a linear operator

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