Finite dimensional systems of free fermions and diffusion processes on spin groups

DOI10.1063/5.0063424OpenAlexW3128277847MaRDI QIDQ5883896

Luigi Borasi

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2102.01000

Mathematics Subject Classification ID

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) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Markov processes (60J99) Fermionic systems in quantum theory (81V74)

Cites Work

• Poisson processes on groups and Feynman path integrals
• Analytic vectors
• Representations of differential operators on a Lie group
• On the SO(2N+1) Regular Representation of Operators and Wave Functions of Fermion Many-Body Systems
• Symmetry, Representations, and Invariants
• Lévy Processes and Stochastic Calculus
• Berezin integrals and Poisson processes
• Lie Groups, Lie Algebras, and Representations
• Particle Spin and Rotation
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