Galilean and \(U(1)\)-gauge symmetry of the Schrödinger field

DOI10.1016/j.aop.2008.05.001zbMath1162.81013arXiv0802.2401OpenAlexW1655123949MaRDI QIDQ2518412

Yanyan Li

Publication date: 16 January 2009

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

Full work available at URL: https://arxiv.org/abs/0802.2401

zbMATH Keywords

gauge symmetryGalilean transformation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Gravitational interaction in quantum theory (81V17) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Electromagnetic theory (general) (78A25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Einstein-Maxwell equations (83C22) Foundations in optics and electromagnetic theory (78A02)

Related Items (3)

Modal-Hamiltonian interpretation of quantum mechanics and Casimir operators: the road toward quantum field theory ⋮ The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics ⋮ Spatial contraction of the Poincaré group and Maxwell's equations in the electric limit

Cites Work

• Unnamed Item
• On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics
• On unitary ray representations of continuous groups
• Can Maxwell’s equations be obtained from the continuity equation?
• The Galilean covariance of quantum mechanics in the case of external fields
• Feynman’s proof of the Maxwell equations
• Galilei Group and Nonrelativistic Quantum Mechanics

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