Path integrals on symmetric spaces and group manifolds

DOI10.1007/BF02435768zbMath0869.58007OpenAlexW2069418006MaRDI QIDQ678623

P. Klimo

Publication date: 27 April 1997

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435768

zbMATH Keywords

symmetric spacespath integralsgroup spaces

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Differential geometry of symmetric spaces (53C35)

Cites Work

• Random walk on a sphere and on a Riemannian manifold
• Path integration over compact and noncompact rotation groups
• The SU(u,v)-group path integration
• On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
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