Quantization, group contraction and zero point energy

DOI10.1016/S0375-9601(03)00374-8zbMath1098.81784arXivquant-ph/0208012MaRDI QIDQ1866774

Giuseppe Vitiello, Massimo Blasone, Enrico Celeghini, Petr Jizba

Publication date: 22 April 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0208012

zbMATH Keywords

quantum harmonic oscillatoralgebraic structuresrepresentation Hilbert space

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (10)

Bateman's dual system revisited: quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator ⋮ THE GAUGE SYMMETRY OF THE THIRD KIND AND QUANTUM MECHANICS AS AN INFRARED LIMIT ⋮ Dissipation and quantization for composite systems ⋮ An alternative realization of 't Hooft's quantum determinism ⋮ Quantization and instability of the damped harmonic oscillator subject to a time-dependent force ⋮ Group contraction in quantum field theory ⋮ A relativistic gauge theory of nonlinear quantum mechanics and Newtonian gravity ⋮ Quantum fields, cosmological constant and symmetry doubling ⋮ On quantum mechanics as constrained \(N=2\) supersymmetric classical dynamics ⋮ Quantum behavior of deterministic systems with information loss: path integral approach

Cites Work

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• Group theory approach to scattering
• Dissipation and topologically massive gauge theories in the pseudo-Euclidean plane
• Generalised coherent states and group representations on Hilbert spaces of analytic functions
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• On the Contraction of Groups and Their Representations
• Dissipation and quantization

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