Projective representations of the inhomogeneous Hamilton group: noninertial symmetry in quantum mechanics

DOI10.1016/j.aop.2011.10.010zbMath1247.81164arXiv1108.0367OpenAlexW2004090240WikidataQ58324952 ScholiaQ58324952MaRDI QIDQ664777

Otto Rutwig Campoamor Stursberg, Peter D. Jarvis, Stephen G. Low

Publication date: 2 March 2012

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

Full work available at URL: https://arxiv.org/abs/1108.0367

zbMATH Keywords

Born reciprocityHamilton groupMackey Representationnoninertial symmetryProjective RepresentationsSemidirect product group

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Direct sums, direct products, etc. for abelian groups (20K25) Projective representations and multipliers (20C25)

Related Items (1)

Phase space entanglement spectrum

Cites Work

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• Unitary representations of group extensions. I
• Reciprocal relativity of noninertial frames and the quaplectic group
• Born reciprocity and the granularity of spacetime
• On unitary ray representations of continuous groups
• Reciprocal relativity of noninertial frames: quantum mechanics
• Relativity group for noninertial frames in Hamilton’s mechanics
• Constraint quantization of a worldline system invariant under reciprocal relativity: II
• Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators
• Harmonic analysis of the de Rham complex on the sphere.
• The quantum mechanical representations of the anisotropic harmonic oscillator group
• THE PIN GROUPS IN PHYSICS: C, P AND T
• Representations of the canonical group, (the semidirect product of the unitary and Weyl$ndash$Heisenberg groups), acting as a dynamical group on noncommutative extended phase space
• On the Quantum Correction For Thermodynamic Equilibrium
• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• World-line quantization of a reciprocally invariant system
• Reciprocity Theory of Elementary Particles
• On the Contraction of Groups and Their Representations

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