Non-compact groups, coherent states, relativistic wave equations and the harmonic oscillator. II: Physical and geometrical considerations

DOI10.1007/S10701-009-9289-6zbMath1171.81011arXiv0906.3638OpenAlexW3099119842MaRDI QIDQ2271070

Diego Julio Cirilo-Lombardo

Publication date: 6 August 2009

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

Full work available at URL: https://arxiv.org/abs/0906.3638

zbMATH Keywords

superspacecoherent statesgroup theoryharmonic oscillatorrelativistic wave equationssupermanifoldssqueezed states

Mathematics Subject Classification ID

Supergravity (83E50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Supermanifolds and graded manifolds (58A50)

Related Items (6)

Charge dynamics and "in plane" magnetic field I: Rashba–Dresselhauss interaction, Majorana fermions and Aharonov–Casher theorems ⋮ Quantum gravity: Physics from supergeometries ⋮ Dynamical symmetries, coherent states and nonlinear realizations: The SO(2,4) case ⋮ Dynamical symmetries, coherent states and nonlinear realizations: Towards noncommutative gravity ⋮ Unified field theoretical models from generalized affine geometries ⋮ Dynamical symmetries, super-coherent states and noncommutative structures: categorical and geometrical quantization analysis

Cites Work

• Unnamed Item
• Unnamed Item
• The hierarchy problem and new dimensions at a millimeter
• Riemannian superspaces of minimal dimensionality
• Dynamical compactification as a mechanism of spontaneous supersymmetry breaking
• (Anti)commuting spinors and supersymmetric dynamics of semions.
• Generalized phase-space representation of operators
• On the mathematical structure and hidden symmetries of the Born-Infeld field equations
• Dirichlet Branes and Ramond-Ramond Charges
• Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Heisenberg Algebra and Spin
• Definite and indefinite inner products on superspace (Hilbert–Krein superspace)
• Localization of matter and cosmological constant on a brane in anti de Sitter space

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