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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 |
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| Cite this article: |
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FAN Hong-Yi, CHEN Jun-Hua, WANG Tong-Tong 2010 Chin. Phys. Lett. 27 050305 |
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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.
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| Keywords:
03.65.Ca
42.50.Db
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Received: 23 February 2010
Published: 23 April 2010
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[1] For a review, see Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[2] Schiff L 1967 Quantum Mechanics (New York: McGraw-Hill)
[3] Merzbacher E 1970 Quantum Mechanics (New York: John-Wiley \& Sons)
[4] Fan H Y 2003 J. Opt. B Quantum Semiclass. Opt. 5 R147
[5] Fan H Y, Lu H L and Fan Y 2006 Ann. Phys. 321 480
[6] Hu L Y and Fan H Y 2009 Chin. Phys. Lett. 26 060307
[7] Fan H Y and Hu L Y 2008 Chin. Phys. Lett. 25 513
[8] Fan H Y, Wang T T and Hu L Y 2008 Chin. Phys. Lett. 25 3539
[9] Fan H Y and Jiang N Q 2002 Chin. Phys. Lett. 19 1403
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