Bound State of a Particle in the Dirac Delta Potential in the Tomographic-Probability Representation of Quantum Mechanics

Abstract

The problem of quantum particle moving in Dirac delta potential with instant changing well depth is studied by using formalism of tomographic representation of quantum mechanics.The bound state tomogram is given in terms of error function.The ionisation probability due to instant change of the potential parameter is calculated in terms of integral containing the state tomograms .The probability of ionisation is also expressed in terms of the Wigner function.

Tomography onf-oscillators

“…For example, the symplectic tomogram for the bound state of a particle moving in the Dirac delta potential, which expressed in terms of the Error function [60] can be easily obtained from its definition rather than from (29).…”

“…It is convenient to apply the latter formula only for states which can be simply decomposed into the Fock basis states. For example, the symplectic tomogram for the bound state of a particle moving in the Dirac delta potential, which expressed in terms of the Error function [60] can be easily obtained from its definition rather than from (29).…”