Quantum anharmonic oscillator and its statistical properties

Details Quantum anharmonic oscillator and its statistical properties Quantum anharmonic oscillator and its statistical properties

2007-11-21

arxiv.org/abs/0711.3432v2

Physics

Condensed Matter

Statistical Mechanics

6 pages; minor changes

Scientific paper

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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