Investigation of Heisenberg algebra for a modified anti-de Sitter and modified antiSnyder models  

作　　者：Nasrin Farahani Hassan Hassanabadi Won Sang Chung Leyla Naderi 

机构地区：[1]Faculty of Physics,Shahrood University of Technology,Shahrood,Iran [2]Department of Physics and Research Institute of Natural Science,College of Natural Science,Gyeongsang National University,Jinju 660-701,Republic of Korea [3]Faculty of Physics,Semnan University,PO Box 35195-363,Semnan,Iran

出　　处：《Communications in Theoretical Physics》2020年第3期51-59,共9页理论物理通讯（英文版）

摘　　要：In this paper,we consider a possible modification of the de Sitter and anti-de Sitter space for the extended uncertainty principle.For the modified anti-de Sitter model we discuss the representation and wave functions of the momentum operator for a one-dimensional box problem.Also,we consider modified Snyder and anti-Snyder models for the generalized uncertainty principle.Then,we assume the Hamiltonian with different potential and solve the Heisenberg algebra for the modified(anti)-de Sitter and(anti)-Snyder models in both position and in the momentum space.In this paper,we consider a possible modification of the de Sitter and anti-de Sitter space for the extended uncertainty principle.For the modified anti-de Sitter model we discuss the representation and wave functions of the momentum operator for a one-dimensional box problem.Also,we consider modified Snyder and anti-Snyder models for the generalized uncertainty principle.Then,we assume the Hamiltonian with different potential and solve the Heisenberg algebra for the modified (anti)-de Sitter and (anti)-Snyder models in both position and in the momentum space.

关 键 词：modified(anti)-de SITTER model extended UNCERTAINTY PRINCIPLE generalized UNCERTAINTY PRINCIPLE HEISENBERG ALGEBRA 

分 类 号：O411.1[理学—理论物理]