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Generalized Coherent States of a Particle in a Time-Dependent Linear Potential |
| L. Krache1, M. Maamache1, Y. Saadi1, A. Beniaiche2 |
| 1Lab PQSD, Faculté des Sciences, Université Ferhat Abbas de Sétif, Sétif 19000, Algeria2Lab SPONL, Faculté des Sciences de l'Ingénieur, Université Ferhat Abbas de Sétif, Sétif 19000, Algeria |
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L. Krache, M. Maamache, Y. Saadi et al 2009 Chin. Phys. Lett. 26 070307 |
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Abstract We derive, with an invariant operator method and unitary transformation approach, that the Schrödinger equation with a time-dependent linear potential possesses an infinite string of shape-preseving wave-packet states |φα,λ>(t)> having classical motion. The qualitative properties of the invariant eigenvalue spectrum (discrete or continuous) are described separately for the different values of the frequency ω of a harmonic oscillator. It is also shown that, for a discrete eigenvalue spectrum, the states |φα,n>(t)> could be obtained from the coherent state |φα,0>(t).
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| Keywords:
03.65.Ge
03.65.Fd
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Received: 22 April 2009
Published: 02 July 2009
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| PACS: |
03.65.Ge
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(Solutions of wave equations: bound states)
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03.65.Fd
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(Algebraic methods)
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