Baker - Campbell - Hausdorff relation for special unitary groups

DOI10.1088/0305-4470/30/24/032zbMath0928.22009arXivquant-ph/9710024OpenAlexW1989017164MaRDI QIDQ4255699

Stefan Weigert

Publication date: 9 January 2000

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9710024

zbMATH Keywords

Baker-Campbell-Hausdorff formulasimilarity transformationstructure constantsgroup parametersLie algebra \(su(N)\)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie algebras of Lie groups (22E60) General properties and structure of real Lie groups (22E15)

Related Items (10)

ON THE MAGIC MATRIX BY MAKHLIN AND THE B-C-H FORMULA IN SO(4) ⋮ The flow method for the Baker-Campbell-Hausdorff formula: exact results ⋮ Riemannian geometry of quantum computation ⋮ ASPECTS OF THE RIEMANNIAN GEOMETRY OF QUANTUM COMPUTATION ⋮ Tools in the Riemannian geometry of quantum computation ⋮ \( \mathcal{PT}\)-symmetry in compact phase space for a linear Hamiltonian ⋮ Non-Markovian process in the interaction between a four-level N-type atom with a cavity field surrounded by a Kerr medium ⋮ General solutions of quantum mechanical equations of motion with time-dependent Hamiltonians: a Lie algebraic approach ⋮ Differential geometry of quantum computation ⋮ The algebra of complex 2 × 2 matrices and a general closed Baker–Campbell–Hausdorff formula

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