20 April 2004 Fractal properties of the quantum superpositions
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Proceedings Volume 5402, International Workshop on Quantum Optics 2003; (2004); doi: 10.1117/12.558821
Event: International Workshop on Quantum Optics 2003, 2003, St. Petersburg, Russian Federation
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.
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Alexander V. Gorokhov, Alexander V. Shaikin, "Fractal properties of the quantum superpositions", Proc. SPIE 5402, International Workshop on Quantum Optics 2003, (20 April 2004); doi: 10.1117/12.558821; https://doi.org/10.1117/12.558821
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