Coherent states of a nonrelativistic charged particle in a constant electric field

Tiago C. Adorno, A. S. Pereira

I.A. Malkin, Vladimir I. Man’ko

I.A. Malkin, Vladimir I. Man’ko

A. S. Pereira

Stavros Fallieros, James L. Friar

The quantal motion of a charged nonrelativistic particle in a uniform but time-varying electric field is discussed. It is pointed out that states of definite but variable momentum exist in this case and are, in a way, the analog of the coherent states of the harmonic oscillator. The gauge invariance of the theory is illustrated, and the results are related to the description of the motion in an accelerated reference frame. A brief discussion of the propagation function and of the evolution operator is also presented.