Stochastic Disturbance by “white” Noise Wave Functions in the Parabolic Potential and Statistical Wave Packet Lifetime Distribution
Year: 2024
Type: article
Abstract: The work examines the parabolic potential, which as the whole is subject to the stochastic influence of the random process of “white” noise, and the dynamics of the wave function of a particle in it. Based on the found solu- tions to the nonstationary Schrödinger equation, the time evolution of the wave function is considered. The problem of destroying the wave packet of a particle is formulated and analyzed, which is realized when the condition of achieving the dispersion of the packet of a given size is met. For the random variable – time to destruction – the probability distribution density is given.
Author: O.S. Mazmanishvili
Institution: Kharkiv Institute of Physics and Technology
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4404174333