Abstract
We study the problem of a quantum particle moving in the Dirac delta potential with instant changes in the well depth using the formalism of the tomographic-probability representation of quantum mechanics. The bound-state tomogram is given in terms of the error function. We calculate the ionization probability induced by an instant change in the delta-potential parameter in terms of an integral containing the state tomograms. Also we express the probability of ionization through the Wigner function.
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Dudinets, I.V., Man’ko, V.I. Bound State of a Particle in the Dirac Delta Potential in the Tomographic-Probability Representation of Quantum Mechanics. J Russ Laser Res 34, 593–602 (2013). https://doi.org/10.1007/s10946-013-9392-1
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DOI: https://doi.org/10.1007/s10946-013-9392-1