Open AccessThe first and second moments for the quantum Brownian planar rotator in external harmonic classical field
Author(s) -
Igor Petrović,
J. Jeknić-Dugić
Publication year - 2017
Publication title -
facta universitatis. series: physics, chemistry and technology
Language(s) - English
Resource type - Journals
eISSN - 2406-0879
pISSN - 0354-4656
DOI - 10.2298/fupct1702071p
Subject(s) - planar , brownian motion , quantum , angular momentum , physics , harmonic , classical mechanics , mathematics , quantum mechanics , computer graphics (images) , computer science
We derive explicit expressions for the first and second moments as well as the correlation function for a planar (one-dimensional) quantum Brownian rotator placed in the external harmonic potential. Our results directly provide the standard deviations for the azimuthal angle and the canonically conjugate angular momentum for the rotator. We find that there are some significant physical differences between this model and the free rotator model, which is well investigated in the literature.