Path integrals for spinning particles, stationary phase and the Duistermaat–Heckmann theorem

DOI10.1063/1.531428zbMath0911.70013arXivcond-mat/9506109OpenAlexW2037833550MaRDI QIDQ5284397

Elisa Ercolessi, F. Napoli, Pierbiagio Pieri, Giuseppe Morandi

Publication date: 27 February 1997

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9506109

zbMATH Keywords

semiclassical approximationquadratic HamiltonianEhrenfest theoremcomplex saddle point approximationflat four-dimensional phase space modelpropagator of particle in external magnetic fieldspin partition function

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Motion of charged particles (78A35) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (5)

Evolution of superoscillations for spinning particles ⋮ Pure bosonic world-line path integral representation for fermionic determinants, non-Abelian Stokes theorem, and quasiclassical approximation in QCD ⋮ The semiclassical propagator for spin coherent states ⋮ A rigorous path integral for quantum spin using flat-space Wiener regularization ⋮ RECOVERING THE STATIONARY PHASE CONDITION FOR ACCURATELY OBTAINING SCATTERING AND TUNNELING TIMES

Cites Work

• Gauge symmetries and fibre bundles. Applications to particle dynamics
• Manifolds, tensor analysis, and applications.
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