Generalized Euler angle parameterization for \(\text{U}(N)\) with applications to \(\text{SU}(N)\) coset volume measures

DOI10.1016/j.geomphys.2004.03.003zbMath1069.22012arXivmath-ph/0210057OpenAlexW1980167301MaRDI QIDQ556218

Todd Tilma, E. C. G. Sudarshan

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0210057

zbMATH Keywords

ManifoldsGroup volumesLie group parameterizationMeasures

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (15)

Cooking pasta with Lie groups ⋮ A composite parameterization of unitary groups, density matrices and subspaces ⋮ On the Euler angles for SU(N) ⋮ On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2) ⋮ Canonical coset parametrization and the Bures metric of the three-level quantum systems ⋮ QUANTUM OPERATIONS INDUCED BY CLASSICAL RANDOMNESS: THE CASE OF QUBIT ⋮ Magnetized baryonic layer and a novel BPS bound in the gauged-non-linear-sigma-model-Maxwell theory in (3+1)-dimensions through Hamilton-Jacobi equation ⋮ Parametrizations of density matrices ⋮ Compact Lie groups: Euler constructions and generalized Dyson conjecture ⋮ On biunimodular vectors for unitary matrices ⋮ A note on factoring unitary matrices ⋮ Analytic multi-baryonic solutions in the \(\mathrm{SU}(N)\)-Skyrme model at finite density ⋮ Composite parameterization and Haar measure for all unitary and special unitary groups ⋮ Parametrization of quantum states based on the quantum state discrimination problem ⋮ Euler angles for G2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lie groups and algebras with applications to physics, geometry, and mechanics
• Volumes of compact manifolds
• Random quantum correlations and density operator distributions
• Induced measures in the space of mixed quantum states
• The Monge metric on the sphere and geometry of quantum states
• Invariant volumes of compact groups
• Correction to `Invariant volumes of compact groups'
• A parametrization of bipartite systems based onSU(4) Euler angles
• Generalized Euler angle parametrization forSU(N)
• Quantifying Entanglement
• Differential geometry on SU(3) with applications to three state systems
• A prioriprobabilities of separable quantum states
• Hall normalization constants for the Bures volumes of then-state quantum systems
• Bures measures over the spaces of two- and three-dimensional density matrices

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