Measure for measure: Covariant skeletonizations of phase space path integrals for systems moving on Riemannian manifolds

DOI10.1063/1.525965zbMath0547.70012OpenAlexW2146276153WikidataQ115332465 ScholiaQ115332465MaRDI QIDQ3339345

Karel V. Kuchař

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525965

zbMATH Keywords

path integralSchrödinger equationphase spacesystems of particlesquantum propagatorcovariant skeletonization

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Applications of local differential geometry to the sciences (53B50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

PHASE SPACE PATH INTEGRAL IN CURVED SPACE, Tunneling in perfect-fluid (minisuperspace) quantum cosmology, The Feynman path integral for constrained systems

Cites Work

• Taylor's Theorem in the Tensor Calculus
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles