Path integral solution of the Schrödinger equation in curvilinear coordinates: A straightforward procedure

DOI10.1063/1.531798zbMath0864.35091OpenAlexW2022209804MaRDI QIDQ5284862

J. Lachapelle

Publication date: 15 June 1997

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

Full work available at URL: https://doi.org/10.1063/1.531798

zbMATH Keywords

axiomatic formulation of path integralsgeneralization of the Feynman path integral to non-Euclidean coordinatespath integral solution of the Schrödinger equation in curvilinear coordinates

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) PDEs in connection with quantum mechanics (35Q40)

Cites Work

• Quantization is geometry, after all
• Noncommutative operations on Wiener functionals and Feynman's operational calculus
• A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation
• A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
• A new perspective on functional integration
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Path integrals in polar coordinates
• Hamiltonian Operators via Feynman Path Integrals
• Quantum Operator Ordering and the Feynman Formulation

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