Fresnel operator for deriving the propagator of 2D harmonic oscillator with cross coupling

DOI10.1007/S10773-011-1067-5zbMath1251.81008OpenAlexW1979784564MaRDI QIDQ454213

Jian-guo Ma, Jian-ming Du, Gang Ren

Publication date: 1 October 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-1067-5

zbMATH Keywords

Feynman propagatorIWOP techniqueentangled state representation

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

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• Propagator for anisotropic three-dimensional charged harmonic oscillator in a constant magnetic field using the Schwinger action principle
• 2-mode Fresnel operator and entangled Fresnel transform
• Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations
• Eigenvectors of two particles’ relative position and total momentum
• New Convenient Way for Deriving Exponential Operators' Disentangling Formulas and Their Applications (II)
• Application of EPR entangled state representation in quantum teleportation of continuous variables

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