Fractal properties of the quantum superpositions

Alexander V. Gorokhov; Alexander V. Shaikin

doi:10.1117/12.558821

20 April 2004 Fractal properties of the quantum superpositions

Alexander V. Gorokhov, Alexander V. Shaikin

Proceedings Volume 5402, International Workshop on Quantum Optics 2003; (2004) https://doi.org/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.

Citation Download Citation

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); https://doi.org/10.1117/12.558821

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