Journal article

Publication year: 2007

Pages: 441-450

Journal: Journal of Physics G: Nuclear and Particle Physics

Volume number: 34

Issue number: 3

ISSN: 0954-3899

eISSN: 1361-6471

DOI Link: https://doi.org/10.1088/0954-3899/34/3/003

Publisher: IOP Publishing

Abstract: 
Using Lindblad's axiomatic approach for the description of dissipation in quantum mechanics, we describe the dynamics of an open quantum system with a two-dimensional inverse parabolic potential. The derivation of the equations of motion for the first two moments of the quantum system from the general Markovian master equation is shown and their solution is given. We analyse the scattering of a Gaussian wave package in the considered potential and present an analytical expression for the probability density in position space and numerical results for the probabilities. A possible application of the developed formalism is shown for the nuclear physics example of the collision of Ca-48 on Cm-248.

Harvard Citation style: Genkin, M. and Scheid, W. (2007) A two-dimensional inverse parabolic potential within the Lindblad theory for application in nuclear reactions, Journal of Physics G: Nuclear and Particle Physics, 34(3), pp. 441-450. https://doi.org/10.1088/0954-3899/34/3/003

APA Citation style: Genkin, M., & Scheid, W. (2007). A two-dimensional inverse parabolic potential within the Lindblad theory for application in nuclear reactions. Journal of Physics G: Nuclear and Particle Physics. 34(3), 441-450. https://doi.org/10.1088/0954-3899/34/3/003