Monomial integrals on the classical groups

DOI10.1063/1.2830520zbMath1153.81367arXiv0710.3702OpenAlexW3103658035MaRDI QIDQ3544588

T. Gorin, Gustavo V. López

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0710.3702

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Analysis on real and complex Lie groups (22E30)

Related Items (1)

Equilibration properties of small quantum systems: further examples

Cites Work

• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Der Maßbegriff in der Theorie der kontinuierlichen Gruppen
• Decoherence in chaotic and integrable systems: A random matrix approach
• Differential Operators on a Semisimple Lie Algebra
• Invariant integration over the orthogonal group
• Character expansion for U(N) groups and U(N/M) supergroups
• The planar approximation. II
• Character expansions for the orthogonal and symplectic groups
• Integrals of monomials over the orthogonal group
• Integration over matrix spaces with unique invariant measures
• Invariant integration over the unitary group
• Invariant and group theoretical integrations over the U(n) group
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems

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