Essential aspects of Wiener-measure regularization for quantum-mechanical path integrals

DOI10.1016/j.na.2005.03.012zbMath1224.81016OpenAlexW2019024282MaRDI QIDQ999903

John R. Klauder

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.012

zbMATH Keywords

path integralBrownian motionquantum mechanicscoherent states

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Coherent states (81R30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (1)

A straight forward path to a path integration of Einstein's gravity

Cites Work

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• Construction of self-adjoint Berezin-Toeplitz operators on Kähler manifolds and a probabilistic representation of the associated semigroups
• A construction of Berezin--Toeplitz operators via Schrödinger operators and the probabilistic representation of Berezin--Toeplitz semigroups based on planar Brownian motion
• Quantum-mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II
• An Operator Calculus Having Applications in Quantum Electrodynamics

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