Maximal quantum mechanical symmetry: Projective representations of the inhomogeneous symplectic group

DOI10.1063/1.4863896zbMath1295.81085arXiv1207.6787OpenAlexW2134733983MaRDI QIDQ5414774

Stephen G. Low

Publication date: 7 May 2014

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

Full work available at URL: https://arxiv.org/abs/1207.6787

zbMATH Keywords

Heisenberg commutation relations, quantum mechanical symmetryinhomogeneous symplectic group

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Applications of group representations to physics and other areas of science (20C35) Projective representations and multipliers (20C25) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

• Unitary representations of group extensions. I
• Reciprocal relativity of noninertial frames and the quaplectic group
• On one-parameter unitary groups in Hilbert space
• Symplectic geometry and quantum mechanics
• Sur certains groupes d'opérateurs unitaires
• On unitary ray representations of continuous groups
• Reciprocal relativity of noninertial frames: quantum mechanics
• Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators
• Harmonic Analysis in Phase Space. (AM-122)
• The quantum mechanical representations of the anisotropic harmonic oscillator group
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