Stochastic calculus in superspace. I. Supersymmetric Hamiltonians

DOI10.1088/0305-4470/25/2/024zbMath0748.60053OpenAlexW2056477546MaRDI QIDQ4008144

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Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/2/024

zbMATH Keywords

stochastic differential equationsstochastic integrationFeynman-Kac formulafermionic Brownian motion

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of manifolds of mappings to the sciences (58D30)

Related Items (10)

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Super Brownian motion on a loop group. ⋮ Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac ⋮ Path integration, anticommuting variables, and supersymmetry ⋮ Fourier transform and related integral transforms in superspace ⋮ Anticommuting variables, fermionic path integrals and supersymmetry ⋮ Fermionic and supersymmetric stochastic processes ⋮ Short-time asymptotics of a rigorous path integral for N = 1 supersymmetric quantum mechanics on a Riemannian manifold ⋮ SUPERSYMMETRY AND BROWNIAN MOTION ON SUPERMANIFOLDS ⋮ New formulation of restricted growth processes

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