Stochastic calculus and Schrödinger semigroups admitting a ground state

DOI10.1063/1.528756zbMath0708.60058OpenAlexW2036713305MaRDI QIDQ3490712

Dražen Pantić

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528756

zbMATH Keywords

Brownian motioninfinitely differentiable fundamental solutionItô process associated with the Schrödinger operator with ground stateMalliavin stochastic calculus

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum stochastic calculus (81S25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• The Malliavin calculus
• A path space picture for Feynman-Kac averages
• Schrödinger semigroups
• On the connection between Schrödinger and Dirichlet forms
• Stochastic calculus on distorted Brownian motion
• Energy forms, Hamiltonians, and distorted Brownian paths

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