Lorentz-covariant deformed algebra with minimal length
From MaRDI portal
Publication:871955
DOI10.1007/s10582-006-0436-4zbMath1109.81045arXivquant-ph/0612093OpenAlexW2018643622MaRDI QIDQ871955
V. M. Tkachuk, Christiane Quesne
Publication date: 27 March 2007
Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0612093
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Related Items
Discreteness of space from GUP in strong gravitational fields, Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle, FORMULATION OF THE SPINOR FIELD IN THE PRESENCE OF A MINIMAL LENGTH BASED ON THE QUESNE–TKACHUK ALGEBRA, \(q\)-nonlinear Schrödinger and \(q\)-nonlinear Klein-Gordon equations in the frame work of GUP, Effect of RGUP on the nonlinear Klein-Gordon model with spontaneous symmetry breaking, Quantum gravitational corrections to the real Klein-Gordon field in the presence of a minimal length, Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra, Generalized Heisenberg uncertainty principle due to the quantum gravitational effects in the Schwarzschild spacetime, 30 years in: Quo vadis generalized uncertainty principle?, Quantum scattering in one-dimensional systems satisfying the minimal length uncertainty relation, Lorentz force and ponderomotive force in the presence of a minimal length, Singular inverse square potential in coordinate space with a minimal length, Three-dimensional Dirac oscillator with minimal length: novel phenomena for quantized energy, Formulation of electrodynamics with an external source in the presence of a minimal measurable length, The solitary solutions of nonlinear Klein-Gordon field with minimal length, Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes, Maximal momentum GUP leads to quadratic gravity, The Einstein–Hilbert gravitation with minimum length, MAXIMALLY LOCALIZED STATES IN QUANTUM MECHANICS WITH A MODIFIED COMMUTATION RELATION TO ALL ORDERS, Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry, An effective theory with Lorentz violation and minimum length, Comments on the paper ``Relativistic generalized uncertainty principle, Generalized Dirac equation for a particle in a gravitational field, $$\theta(\hat{x},\hat{p})$$ -deformation of the Harmonic Oscillator in a 2D-phase Space
Cites Work
- Non-pointlike particles in harmonic oscillators
- Dirac oscillator with nonzero minimal uncertainty in position
- An exact solution of the one-dimensional Dirac oscillator in the presence of minimal lengths
- Lorentz-covariant deformed algebra with minimal length and application to the (1 + 1)-dimensional Dirac oscillator
- NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES
- Quantized Space-Time