Classical dynamics based on the minimal length uncertainty principle

DOI10.1007/s10773-015-2721-0zbMath1333.81204OpenAlexW1887527098MaRDI QIDQ264727

Won-Sang Chung

Publication date: 1 April 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-015-2721-0

zbMATH Keywords

Heisenberg algebra\(\beta\)-deformed Poisson bracketquadratic modification

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15) Formal methods and deformations in algebraic geometry (14D15)

Related Items (1)

On deformations of classical mechanics due to Planck-scale physics

Cites Work

• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Quantum gravity, minimum length and Keplerian orbits
• Orbital magnetic moment of the electron in the hydrogen atom in a deformed space with minimal length
• One-dimensional Coulomb-like problem in deformed space with minimal length
• Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
• Dirac oscillator with nonzero minimal uncertainty in position
• More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
• Minimal length uncertainty relation and the hydrogen atom
• Lorentz-covariant deformed algebra with minimal length and application to the (1 + 1)-dimensional Dirac oscillator
• Quantized Space-Time

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