2005/07/03 by Kourosh Nozari, Tahereh Azizi · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole thermodynamics #Classical mechanics #Correspondence principle (sociology) #Cosmology and Gravitation Theories #Gravitation #Loop quantum gravity #Micro black hole #Noncommutative and Quantum Gravity Theories #Observable #Particle in a box #Physics #Planck #Planck length #Planck scale #Quantum #Quantum dynamics #Quantum geometry #Quantum gravity #Quantum mechanics #Quantum process #Theoretical physics #Uncertainty principle #Virtual black hole #quant-ph
paper · pdf · doi:10.1007/s10714-006-0262-9
published as Gen.Rel.Grav.38:735-742,2006 · 9 pages, one eps figure
arxiv created 2005/07/03 · openalex publication_date 2006/02/24 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle. Such a modified Heisenberg uncertainty principle is referred as gravitational uncertainty principle(GUP) in literatures. This proposal has some novel implications on various domains of theoretical physics. Here, we study some consequences of GUP in the spirit of Quantum mechanics. We consider two problem: a particle in an one-dimensional box and momentum space wave function for a "free particle". In each case we will solve corresponding perturbational equations and compare the results with ordinary solutions.