Random walk as a model of motion in a quantum harmonic oscillator
Volume 49 / 2022
Applicationes Mathematicae 49 (2022), 185-195
MSC: Primary 81S99; Secondary 37A05, 65L10.
DOI: 10.4064/am2447-12-2022
Published online: 4 January 2023
Abstract
The one-dimensional quantum harmonic oscillator is considered. The wave solution of the Schrödinger equation determines the model of motion of particles in the $n$-quantum state as orbits of a stationary random walk at the moment of jump from the $n-1$-quantum to the $n$-quantum state. Numerical solutions are given for $n=2,3.$
