Quantized space-time and its influences on some physical problems

Abstract

Based on the idea of quantized space-time of Snyder, we derive new generalized uncertainty principle and new modified density of states. Accordingly we discuss the influences of the modified density of states on some physical quantities and laws. In addition we analyzed the exact solution of the harmonic oscillator in Snyder's quantized space-time.

5pages, 1 figure

References in corpus (6)

• Quantum Mechanics and the Generalized Uncertainty Principle
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• Snyder's Model -- de Sitter Special Relativity Duality and de Sitter Gravity
• Yang's Model as Triply Special Relativity and the Snyder's Model--de Sitter Special Relativity Duality
• Generalized uncertainty principle and correction value to the black hole entropy
• The Generalized Uncertainty Principle in f(R) Gravity for a Charged Black Hole

Cited by in corpus (3)

• Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in anti-de Sitter Black Holes via Charged Particle Absorption
• Transition Rate and the Photoelectric Effect in the Presence of a Minimal Length
• Acceleration of cosmic expansion through huge cosmological constant progressively reduced by submicroscopic information transfer