The first and second moments for the quantum Brownian planar rotator in external harmonic classical field | Zendy

Igor Petrović | Zendy; J. Jeknić-Dugić | Zendy

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The 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 , harmonic , physics , classical mechanics , harmonic potential , mathematics , quantum mechanics , computer science , computer graphics (images)

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.

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