4 citations · 7 across the 39 of their papers we have counts for
39 papers
Gaussian Random Matrix Ensembles in Phase Space
Maciej M. Duras
A new class of Random Matrix Ensembles is introduced. The Gaussian orthogonal, unitary, and symplectic ensembles GOE, GUE, and GSE, of random matrices are analogous to the classica…
Quantum anharmonic oscillator and its statistical properties
Maciej M. Duras
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…
Quantum anharmonic oscillator and its statistical properties in the first quantization scheme
Maciej M. Duras
A family of quantum anharmonic oscillators is studied in any finite spatial dimension in the scheme of first quantization and the investigation of their eigenenergies is presented.…
Statistical properties of the quantum anharmonic oscillator in one spatial dimension
Maciej M. Duras
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 followi…
Statistical properties of the quantum anharmonic oscillator
Maciej M. Duras
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 followi…
Quantum fluctuations of systems of interacting electrons in two spatial dimensions
Maciej M. Duras
The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are…