Statistical properties of the quantum anharmonic oscillator in one spatial dimension
Abstract
Description
The random matrix ensembles (RME) of Hamiltonian matrices, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applicable to following quantum statistical systems: nuclear systems, molecular systems, condensed phase systems, disordered systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). A family of quantum anharmonic oscillators in one spatial dimension is studied and the numerical investigation of their eigenenergies is presented. The statistical properties of the calculated eigenenergies are compared with the theoretical predictions inferred from the random matrix theory. Conclusions are derived.
6 pages; presented at poster session of the conference "Polymorphism in Condensed Matter International workshop"; November 13th, 2006 - November 17th, 2006; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany (2006)
6 pages; presented at poster session of the conference "Polymorphism in Condensed Matter International workshop"; November 13th, 2006 - November 17th, 2006; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany (2006)