The SU(u,v)-group path integration

DOI10.1063/1.529219zbMath0751.58005OpenAlexW2039092923MaRDI QIDQ3987319

Christian Grosche

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529219

zbMATH Keywords

Euclidean spaceharmonic potentialirreducible representationsenergy spectraFourier transformationFeynman path integral\(\text{SU}(u,v)\) group manifolds\(SU(u,v)\) group manifolds

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Integration on manifolds; measures on manifolds (58C35) Applications of manifolds of mappings to the sciences (58D30)

Related Items

Path integrals on symmetric spaces and group manifolds

Cites Work

• The path integral on the pseudosphere
• Path integration over the n-dimensional Euclidean group
• Separation of variables in path integrals and path integral solution of two potentials on the Poincare upper half-plane
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• Path integration over compact and noncompact rotation groups
• The canonical formalism and path integrals in curved spaces
• A Set of Harmonic Functions for the Group SU(3)
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles