| Issue |
Europhys. Lett.
Volume 62, Number 5, June 2003
|
|
|---|---|---|
| Page(s) | 622 - 628 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2003-00419-1 | |
| Published online | 01 May 2003 | |
Unitary transformation for the system of a particle in a linear potential
Department of Physics, University of Florida - Gainesville, FL 32611, USA and Department of Physics, Sunchon National University - Suncheon 540-742, Korea
Received:
2
September
2002
Accepted:
11
April
2003
A unitary operator, which relates the system of a particle in a linear potential with time-dependent parameters to that of a free particle, has been given. This operator, closely related to the one which is responsible for the existence of coherent states for a harmonic oscillator, is used to find a general wave packet described by an Airy function. The kernel (propagator) and a complete set of Hermite-Gaussian–type wave functions are also given.
PACS: 03.65.Fd – Algebraic methods / 03.65.Ge – Solutions of wave equations: bound states / 42.25.Bs – Wave propagation, transmission and absorption
© EDP Sciences, 2003
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