A rigorous path integral for quantum spin using flat-space Wiener regularization

DOI10.1063/1.532714zbMath0977.81057arXivmath-ph/9811016OpenAlexW3103106840MaRDI QIDQ4701874

Hajo Leschke, Bernhard G. Bodmann, Simone Warzel

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math-ph/9811016

zbMATH Keywords

Brownian bridgespin HamiltonianSchrödinger semigroupFeynman-Kac-Itô formulaspin coherent vectors

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Path integrals in quantum mechanics (81S40) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (2)

Construction of self-adjoint Berezin-Toeplitz operators on Kähler manifolds and a probabilistic representation of the associated semigroups ⋮ A lower bound for the Wehrl entropy of quantum spin with sharp high-spin asymptotics

Cites Work

• General concept of quantization
• The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
• The classical limit of quantum partition functions
• The Ehrenfest model: A path-integral for spin.
• The classical limit of quantum spin systems
• LANDAU GROUND STATE ON RIEMANNIAN SURFACES
• Quantum-mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II
• Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
• The Feynman principle for a Fermi system
• QUANTIZATION
• On the path integral representation for spin systems
• Landau-level ground-state degeneracy and its relevance for a general quantization procedure
• Quantization of systems with a general phase space equipped with a Riemannian metric
• SU(2) coherent-state path integral
• Coherent states, path integral, and semiclassical approximation
• Path integrals for spinning particles, stationary phase and the Duistermaat–Heckmann theorem
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS

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