Non-compact groups, coherent states, relativistic wave equations and the harmonic oscillator

DOI10.1007/s10701-007-9110-3zbMath1131.81005arXivhep-th/0701195OpenAlexW2013154990MaRDI QIDQ5920355

Diego Julio Cirilo-Lombardo

Publication date: 31 October 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0701195

zbMATH Keywords

quantizationsuperspacerelativistic particlerelativistic wave equationsuperparticlesqueezed statessquare root of the Hamiltonian

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) Coherent states (81R30) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (6)

Charge dynamics and "in plane" magnetic field I: Rashba–Dresselhauss interaction, Majorana fermions and Aharonov–Casher theorems ⋮ Relativistic dynamics, Green function and pseudodifferential operators ⋮ Quantum gravity: Physics from supergeometries ⋮ Dynamical symmetries, coherent states and nonlinear realizations: The SO(2,4) case ⋮ An uncertainty relation for the orbital angular momentum operator ⋮ Dynamical symmetries, super-coherent states and noncommutative structures: categorical and geometrical quantization analysis

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• Teoria Relativistica di Particelle Con Momento Intrinseco Arbitrario
• Functional Analysis
• New coherent states of the Lie superalgebra osp (1/2,R)
• Relativistic Invariance and the Square-Root Klein-Gordon Equation

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