Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations

DOI10.1063/1.2748378zbMath1144.81395arXiv0707.4531OpenAlexW1982531037MaRDI QIDQ3529788

Motoo Sekiguchi, A. Ogura

Publication date: 14 October 2008

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

Full work available at URL: https://arxiv.org/abs/0707.4531

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (2)

Fresnel operator for deriving the propagator of 2D harmonic oscillator with cross coupling ⋮ A modified convolution and product theorem for the linear canonical transform derived by representation transformation in quantum mechanics

Cites Work

• Algebraic structure and kernel of the Schrodinger equation
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• On the Analogy Between Classical and Quantum Mechanics

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