New generalized uncertainty principle from the doubly special relativity

Abstract

Based on the doubly special relativity we find a new type of generalized uncertainty principle (GUP) where the coordinate remain unaltered at the high energy while the momentum is deformed at the high energy so that it may be bounded from the above. For this GUP, we discuss some quantum mechanical problems in one dimension such as box problem, momentum wave function, and harmonic oscillator problem.

References in corpus (6)

• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Minimal Length and Bouncing Particle Spectrum
• One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
• A note on the one-dimensional hydrogen atom with minimal length uncertainty
• Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology

Cited by in corpus (18)

• 30 years in: Quo vadis generalized uncertainty principle?
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Minimal length effect on the broadening of free wave-packets and its physical implications
• Modified Friedmann equations from DSR-GUP
• Investigation of generalised uncertainty principle effects on FRW cosmology
• On the Chandrasekhar Limit in Generalized Uncertainty Principles
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• Constraining the generalized uncertainty principle with neutron interferometry
• Massless Charged Particles Tunneling Radiation from a RN-dS Horizon and the Linear and Quadratic GUP
• Kinetic energy properties and weak equivalence principle in a space with GUP
• Friedmann equations from GUP-modified equipartition law
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• Non-local imprints of gravity on quantum theory
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
• Analysis of black hole thermodynamics under Generalized uncertainty principle from the doubly special relativity