Numerical analysis of level statistical properties of two- and three-dimensional coupled quartic oscillators.

DOI10.1016/S0010-4655(01)00328-9zbMath1036.81502OpenAlexW2032470755MaRDI QIDQ5956312

Mitsuyoshi Tomiya, Naotaka Yoshinaga

Publication date: 2001

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(01)00328-9

zbMATH Keywords

continuously transformed from an integrable system to a chaotic onemode fluctuation distributionnearest neighbor spacing distributionspectral statistical propertiestruncated Hamiltonian matrix

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Computational methods for problems pertaining to quantum theory (81-08) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

• Distribution of the error term for the number of lattice points inside a shifted circle
• Semiclassical theory of spectral rigidity

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