Path integration in phase space

DOI10.1007/BF00756309zbMath0418.58009OpenAlexW2004834783MaRDI QIDQ1131775

Bruce Nelson, Amar Maheshwari, Cecile de Witt-Morette

Publication date: 1977

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00756309

zbMATH Keywords

Wiener measureLiouville measurenonrelativistic quantum mechanicspath integrals in phase space

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (max. 100)

Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action ⋮ An invitation to higher gauge theory ⋮ Phase space Feynman path integrals with smooth functional derivatives by time slicing approximation ⋮ Hamiltonian path integrals in momentum space representation via white noise techniques ⋮ The Hamiltonian path integral for potentials of the Albeverio Høegh-Krohn class -- a white noise approach ⋮ A fundamental solution to the Schrödinger equation with Doss potentials and its smoothness ⋮ Path integral solution of the Dirichlet problem ⋮ The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution

Cites Work

• The semiclassical expansion
• Feynman path integrals. I: Linear and affine techniques. II: The Feynman- Green function
• Functional integral representations of partition function without limiting procedure. Techniques of calculation of moments
• The Feynman integral for singular Lagrangians
• Feynman's path integral. Definition without limiting procedure
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Hamiltonian Path-Integral Methods
• An Operator Calculus Having Applications in Quantum Electrodynamics

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