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Proceedings Paper

Fractal properties of the quantum superpositions
Author(s): Alexander V. Gorokhov; Alexander V. Shaikin
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Paper Abstract

Examples of Berry’s and WBBZ - (D.Wojcik, I.Bialynicki-Birula and K.Zyczkowski) quantum fractal constructions are considered. The behavior of fractal dimensions of these very special superpositions of basic states of a particle in a potential box and harmonic oscillator is investigated in going from coordinate representation to momentum and coherent state representations. The mean value of quanta and dispersion for isolated quantum harmonic oscillator prepared in “fractal” state and interacting with another oscillator are calculated.

Paper Details

Date Published: 20 April 2004
PDF: 12 pages
Proc. SPIE 5402, International Workshop on Quantum Optics 2003, (20 April 2004); doi: 10.1117/12.558821
Show Author Affiliations
Alexander V. Gorokhov, Samara State Univ. (Russia)
Alexander V. Shaikin, Samara State Univ. (Russia)

Published in SPIE Proceedings Vol. 5402:
International Workshop on Quantum Optics 2003
Vitaly V. Samartsev, Editor(s)

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