Authors
Abstract
We study the problem of a quantum particle in an infinite one dimensional potential well with a moving wall. Based on the effective Hamiltonian approach and using the gauge transformation concepts, we show that the effect of the moving wall appears as an extra phase factor in the wave function which depends on the velocity of the wall.
Keywords
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[2] D. N. Pinder, Am. J. Phys. 58 (1990) 54.
[3] S. T. Dembinski, A. J. Makowski, and P. Peplowski, J. Phys. A: Math. Gen. 28 (1995) 1449.
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[5] P. Seba, Phys. Rev. A 41 (1990) 2306.
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[7] A. J. Makowski and S. T. Dembinski, Phys. Lett. A 154 (1991) 217.
[8] A. J. Makowski and P. Peplowski, Phys. Lett. A 163 (1992) 142.
[9] A. J. Makowski, J. Phys. A: Math. Gen. 25 (1992) 3419.
[10] P. Pereshogin and P. Pronin, Phys. Lett. A 156 (1991) 12.
[11] A. Munier, J. R. Burgan, M. Feix, and E. Fijalkow, J. Math. Phys. 22 (1981) 1219.
[12] M. V. Berry and G. Klein, J. Phys. A: Math. Gen. 17 (1984) 1805.
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[14] A. Devoto and B. Pomorisac, J. Phys. A: Math. Gen. 25 (1992) 241.
[15] A. Mostafazadeh, J. Phys. A 32 (1999) 8325.
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[19] R. Torabi and M. Mehrafarin, JETP Lett. 95 (2012) 277.
[20] P. J. Leek, J. M. Fink, A. Blais, R. Bianchetti, M. Göppl, J. M. Gambetta, D. I. Schuster, L. Frunzio, R. J. Schoelkopf, and A. Wallraff, Science 318 (2007) 1889.
[21] A. A. Abdumalikov, J. M. Fink, K. Juliusson, M. Pechal, S. Berger, A. Wallraff, and S. Filipp, Nature 496 (2013) 482.
[22] P. A. M. Dirac, Proc. Roy. Soc. A 133 (1931) 60.
[23] K. Yu. Bliokh and Yu. P. Bliokh, Ann. Phys. 319 (2005) 13.
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[25] R. Torabi, Physica B 407 (2012) 2109.
[26] A. Messiah. “Quantum mechanics”, Vol. 2, North-Holland, Amsterdam (1966).
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