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Separation of Variable Treatment for Solving Time—Dependent Potentials
引用本文:QIANShang-Wu GUZhi-Yu 等. Separation of Variable Treatment for Solving Time—Dependent Potentials[J]. 理论物理通讯, 2001, 36(2): 149-150
作者姓名:QIANShang-Wu GUZhi-Yu 等
作者单位:[1]DepartmentofPhysics,PekingUniversity,Beijing100871,China [2]DepartmentofPhysics,CapitalNormalUniversity,
摘    要:We use the separation of variable treatment to treat some time-dependent systems,and point out that the condition of separability is the same as the condition of existence of invariant,and the separation of variable treatment is interrelated with the quantum-invariant method and the propagator method.We directly use the separation of variable treatment to obtain the wavefunctions of the time-dependent Coulomb potential and the time-dependent Hulthen potential.

关 键 词:量子力学 变数分离法 时间相依势
收稿时间:2000-12-26

Separation of Variable Treatment for Solving Time-DependentPotentials
QIAN Shang-Wu,GU Zhi-Yu and XIE Guo-Qiang. Separation of Variable Treatment for Solving Time-DependentPotentials[J]. Communications in Theoretical Physics, 2001, 36(2): 149-150
Authors:QIAN Shang-Wu  GU Zhi-Yu  XIE Guo-Qiang
Affiliation:1. Department of Physics, Peking University, Beijing 100871, China;2. Department of Physics, Capital Normal University,Beijing 100037, China
Abstract:We use the separation of variable treatment to treat some time-dependent systems, and point out that the condition of separability is the same as the condition of existence of invariant, and the separation ofvariable treatment is interrelated with the quantum-invariant method andthe propagator method. We directly use the separation of variabletreatment to obtain the wavefunctions of the time-dependent Coulombpotential and the time-dependent Hulthén potential.
Keywords:time-dependent system  separation of variable treatment   time-dependent Coulomb potential  time-dependent Hulthén potential   wavefunction   
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