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

Dae-Yup Song
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Abstract

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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Dae-Yup Song. 2003-04-30. Unitary transformation for the system of a particle in a linear potential. https://doi.org/10.1209/epl%2Fi2003-00419-1

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