文献类型：期刊文献

英文题名：Perturbative equivalent theorem in q-deformed dynamics

作者：Zhang, JZ

机构：[1]Univ Kaiserslautern, Dept Phys, D-67653 Kaiserslautern, Germany;[2]E China Univ Sci & Technol, Inst Theoret Phys, Shanghai 200237, Peoples R China

年份：2001

卷号：517

期号：1-2

起止页码：210

外文期刊名：PHYSICS LETTERS B

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000171218900028)】；

语种：英文

摘要：Corresponding to two ways of realizing the q-deformed Heisenberg algebra by the undeformed variables there are two q-perturbative Hamiltonians with the additional momentum-dependent interactions, one originates from the perturbative expansion of the potential, the other originates from that of the kinetic energy term. At the level of operators, these two q-perturbative Hamiltonians are different. In order to establish a reliable foundation of the perturbative calculations in q-deformed dynamics, except examples of the harmonic-oscillator and the Morse potential demonstrated before, the general q-perturbative equivalent theorem is demonstrated, which states that for any regular potential which is singularity free the expectation values of two q-perturbative Hamiltonians in the eigenstates of the undeformed Hamiltonian are equivalent. For the q-deformed "free" particle case, the perturbative Hamiltonian originated from the kinetic energy term still keeps its general expression, but it does not lead to energy shift. (C) 2001 Elsevier Science B.V. All rights reserved.