Stochastic mechanics and the Feynman integral
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Publication:2738169
DOI10.1063/1.1286880zbMath0979.81028arXivquant-ph/0007015OpenAlexW3104781976WikidataQ56092555 ScholiaQ56092555MaRDI QIDQ2738169
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0007015
Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Stochastic mechanics (including stochastic electrodynamics) (81P20)
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A local interpretation of quantum mechanics ⋮ Analytic continuation of stochastic mechanics ⋮ Quantum Hamilton equations of motion for bound states of one-dimensional quantum systems ⋮ Probabilities and quantum fluctuations ⋮ Path probability distribution of stochastic motion of non dissipative systems: a classical analog of Feynman factor of path integral ⋮ Stochastic quantization of relativistic theories
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- The adjoint Markoff process
- Non-symmetric diffusions and related Hamiltonians
- A new formulation of stochastic mechanics
- Feynman's path integral. Definition without limiting procedure
- Integration in Functional Spaces and its Applications in Quantum Physics
- A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
- A remark on the connection between stochastic mechanics and the heat equation
- Energy forms, Hamiltonians, and distorted Brownian paths
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- A new perspective on functional integration
- Hamilton’s principle in stochastic mechanics
- Lagrangian dynamics for classical, Brownian, and quantum mechanical particles
- Feynman Integrals and the Schrödinger Equation
- Space-Time Approach to Non-Relativistic Quantum Mechanics
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