THEORY OF DISTRIBUTION IN THE SENSE OF CONNES–HIDA AND FEYNMAN PATH INTEGRAL ON A MANIFOLD

DOI10.1142/S0219025703001420zbMath1059.81111OpenAlexW2141750873MaRDI QIDQ4467378

Rémi Léandre

Publication date: 9 June 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025703001420

zbMATH Keywords

path integralstopological invariantsHida distributionWiener chaos

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Path integrals in quantum mechanics (81S40) Noncommutative geometry methods in quantum field theory (81T75) Quantum stochastic calculus (81S25)

Related Items (5)

Lebesgue measure in infinite dimension as an infinite-dimensional distribution ⋮ An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ Probabilistic representations for the solution of higher order differential equations ⋮ High order heat-type equations and random walks on the complex plane ⋮ THE REPRESENTATION OF STRONGLY CONTINUOUS OPERATOR SEMIGROUPS ON VECTOR BUNDLES AS HIDA DISTRIBUTIONS

Cites Work

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• STOCHASTIC ADAMS THEOREM FOR A GENERAL COMPACT MANIFOLD
• KNOTS, FEYNMAN DIAGRAMS AND MATRIX MODELS
• A RIGOROUS CONSTRUCTION OF ABELIAN CHERN-SIMONS PATH INTEGRALS USING WHITE NOISE ANALYSIS

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