Gauge transformations of a relativistic field of quantum harmonic oscillators

DOI10.1016/S0034-4877(21)00008-2OpenAlexW3130196160MaRDI QIDQ2664189

Jan Naudts

Publication date: 20 April 2021

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12555

zbMATH Keywords

gauge transformationscoherent statesquantum harmonic oscillatorrelativistic field theoryoscillator groupdisplacement operatormanifold of vector states

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Quantum theory (81-XX)

Cites Work

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• Regularization as quantization in reducible representations of CCR
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• On the emergence of the Coulomb forces in quantum electrodynamics
• The representations of the oscillator group
• Non-canonical quantum optics
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Quantal phase factors accompanying adiabatic changes

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