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Quantum anharmonic oscillator and its statistical properties

2007/11/21 by M. M. Duras, Duras, Maciej M.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.0711.3432

openalex publication_date 2007/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present article a family of quantum anharmonic oscillators is studied using Hermite's function basis (Fock's basis) in the Hilbert space. The numerical investigation of the eigenenergies of that family is presented. The statistical properties of the calculated eigenvalues are compared with the theoretical predictions derived from the Random Matrix Theory. Conclusions are inferred.

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