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20 April 2004 Fractal properties of the quantum superpositions
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Proceedings Volume 5402, International Workshop on Quantum Optics 2003; (2004)
Event: International Workshop on Quantum Optics 2003, 2003, St. Petersburg, Russian Federation
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.
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Alexander V. Gorokhov and Alexander V. Shaikin "Fractal properties of the quantum superpositions", Proc. SPIE 5402, International Workshop on Quantum Optics 2003, (20 April 2004);

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