Consequences of deformation of the Heisenberg algebra

DOI10.1142/S021988781550022XzbMath1309.81108arXiv1404.5024MaRDI QIDQ5178349

Mir Faizal

Publication date: 16 March 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5024

zbMATH Keywords

non-local field theoryharmonic extensions of functions

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantization in field theory; cohomological methods (81T70) Axiomatic quantum field theory; operator algebras (81T05) 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) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items

Asymptotically charged BTZ black holes in gravity's rainbow, Short distance modification of the quantum virial theorem, \(q\)-nonlinear Schrödinger and \(q\)-nonlinear Klein-Gordon equations in the frame work of GUP, Statistical description of an ideal gas in maximum length quantum mechanics, Generalized uncertainty principle as a consequence of the effective field theory, The most general form of deformation of the Heisenberg algebra from the generalized uncertainty principle, Topological defects in a deformed gauge theory, Thermostatistics in deformed space with maximal length, Quantum gauge freedom in the Lorentz violating background, Wave function of perturbed Hamiltonian in graphene, Supersymmetry breaking as a new source for the generalized uncertainty principle, Generalized uncertainty principles, effective Newton constant and the regular black hole, GUP modified Hawking radiation in bumblebee gravity, Plasma oscillations in a generalized Snyder space, Discreteness of time in the evolution of the universe, Imaginary interactions with minimum length, Cosmological constant from a deformation of the Wheeler-DeWitt equation

Cites Work

• The generalized uncertainty principle in (A)dS space and the modification of Hawking temperature from the minimal length
• Some aspects of Planck scale quantum optics
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
• Some consequences of spacetime fuzziness
• Some aspects of gravitational quantum mechanics
• ELECTROWEAK THEORY WITH A MINIMAL LENGTH
• A CLASS OF GUP SOLUTIONS IN DEFORMED QUANTUM MECHANICS
• The pseudodifferential operator square root of the Klein–Gordon equation
• Natural extension of the generalized uncertainty principle
• Arbitrary powers of D’Alembertians and the Huygens’ principle
• Non-pointlike particles in harmonic oscillators
• Gravity's rainbow
• Minimal length uncertainty relation and the hydrogen atom
• An Extension Problem Related to the Fractional Laplacian