Squeezing-Displacement Dynamics for One-Dimensional Potential Well with Two Mobile Walls where Wavefunctions Vanish
FAN Hong-Yi1,2, CHEN Jun-Hua2, WANG Tong-Tong3
1Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 2Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026 3School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435003
Squeezing-Displacement Dynamics for One-Dimensional Potential Well with Two Mobile Walls where Wavefunctions Vanish
FAN Hong-Yi1,2, CHEN Jun-Hua2, WANG Tong-Tong3
1Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 2Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026 3School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435003
摘要We show that the dynamics for a particle confined in a one-dimensional potential well with two mobile boundaries where wavefunctions vanish can be converted to the case as if the boundary was time-independent at the expense of an appropriate time-dependent Hamiltonian. The squeezing-displacement operator can be derived, and the corresponding Hamiltonian is determined by the situation of mobile boundaries.
Abstract：We show that the dynamics for a particle confined in a one-dimensional potential well with two mobile boundaries where wavefunctions vanish can be converted to the case as if the boundary was time-independent at the expense of an appropriate time-dependent Hamiltonian. The squeezing-displacement operator can be derived, and the corresponding Hamiltonian is determined by the situation of mobile boundaries.
FAN Hong-Yi;CHEN Jun-Hua;WANG Tong-Tong. Squeezing-Displacement Dynamics for One-Dimensional Potential Well with Two Mobile Walls where Wavefunctions Vanish[J]. 中国物理快报, 2010, 27(5): 50305-050305.
FAN Hong-Yi, CHEN Jun-Hua, WANG Tong-Tong. Squeezing-Displacement Dynamics for One-Dimensional Potential Well with Two Mobile Walls where Wavefunctions Vanish. Chin. Phys. Lett., 2010, 27(5): 50305-050305.
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2010, Vol. 27 
