Journalartikel

A two-dimensional inverse parabolic potential within the Lindblad theory for application in nuclear reactions


AutorenlisteGenkin, M.; Scheid, W.

Jahr der Veröffentlichung2007

Seiten441-450

ZeitschriftJournal of Physics G: Nuclear and Particle Physics

Bandnummer34

Heftnummer3

ISSN0954-3899

eISSN1361-6471

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

VerlagIOP 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.



Zitierstile

Harvard-ZitierstilGenkin, 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-ZitierstilGenkin, 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



Schlagwörter


COLLECTIVE MODESCOLLISIONSCOORDINATEDAMPED OSCILLATORDENSITY-MATRIXDIFFUSION-COEFFICIENTSEQUATIONOPEN QUANTUM-SYSTEMS

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