Finite quantum kinematics of the harmonic oscillator

DOI10.1063/1.2070088zbMath1111.81104arXivquant-ph/0411203OpenAlexW1983923365MaRDI QIDQ3441631

David Ritz Finkelstein, Mohsen Shiri-Garakani

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0411203

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

General quantization ⋮ Finite quantum dynamics ⋮ Homotopy approach to quantum gravity

Cites Work

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• Determinism in free bosons
• A class of operator algebras which are determined by groups
• Geometry, stochastic calculus, and quantum fields in a noncommutative space–time
• DIFFERENT FACETS OF CHAOS IN QUANTUM MECHANICS
• CONTRACTION OF THE FINITE ONE-DIMENSIONAL OSCILLATOR
• Chronon corrections to the Dirac equation
• Principle of General Q Covariance
• Space-Time Code
• Quantized Space-Time
• On the Invariant Regularization in Relativistic Quantum Theory
• On the Contraction of Groups and Their Representations

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