Poisson processes on groups and Feynman path integrals

DOI10.1007/BF01269924zbMath0526.22003OpenAlexW1981573242MaRDI QIDQ595027

Sumit K. Garg

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01269924

zbMATH Keywords

spin systemsCauchy initial value problemFermi systemsPoisson processes on groupsunitary projective representations

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Path integrals in quantum mechanics (81S40) Markov processes (60J99)

Related Items

Finite dimensional systems of free fermions and diffusion processes on spin groups, Functions in the Fresnel Class, Stochastic processes and the evolution of quantum observables, Treatment of some singular potentials by change of variables in Wiener integrals, Local relativistic invariant flows for quantum fields, Quantum fields and Poisson processes: Interaction of a cut-off boson field with a quantum particle

Cites Work

• Unitary representations of group extensions. I
• Mathematical theory of Feynman path integrals
• Representations of anticommutation relations and Bogolioubov transformations
• On a Hilbert space of analytic functions and an associated integral transform part I
• Feynman Integrals and the Schrödinger Equation
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Unnamed Item
• Unnamed Item