Unitary transformation for the system of a particle in a linear potential

Details Unitary transformation for the system of a particle in a linear potential Unitary transformation for the system of a particle in a linear potential

2002-11-18

arxiv.org/abs/quant-ph/0211107v2

Europhys. Lett., 62 (5), pp 622-628 (2003)

Physics

Quantum Physics

Europhysics Letters (in press)

Scientific paper

10.1209/epl/i2003-00419-1

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.

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