PATH INTEGRALS ON RIEMANNIAN MANIFOLDS WITH SYMMETRY AND INDUCED GAUGE STRUCTURE

DOI10.1142/S0217751X01003159zbMath0974.58010arXivhep-th/0006150OpenAlexW3102302925WikidataQ115246411 ScholiaQ115246411MaRDI QIDQ2729439

Shogo Tanimura

Publication date: 22 July 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0006150

zbMATH Keywords

Riemannian manifoldpath integralsisometric transformations

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30)

Cites Work

• Isoholonomic problems and some applications
• Reduction of symplectic manifolds with symmetry
• Smooth G-manifolds as collections of fiber bundles
• Inequivalent quantizations and holonomy factor from the path-integral approach
• Quantization of constrained systems with singularities using Rieffel induction
• A survey of the statistical theory of shape. With discussion and a reply by the author
• Quantum-mechanical Liouville model with attractive potential
• INDUCED GAUGE FIELDS IN THE PATH-INTEGRAL
• Reduction of quantum systems on Riemannian manifolds with symmetry and application to molecular mechanics
• Fundamental algebra for quantum mechanics on S D and gauge potentials
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles