1 5 Fe b 20 05 Fluctuations of Quantum Statistical Two - Dimensional Systems of Electrons
نویسنده
چکیده
1 Abstract The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Gini-bre RME), are applied to following quantum statistical systems: nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integrability with respect to eigenergies of quantum systems are defined and calculated. Quantum statistical information functional is defined as negentropy (either opposite of entropy or minus entropy). The distribution function for the random matrix ensembles is derived from the maximum entropy principle.
منابع مشابه
Quantum Fluctuations of Systems of Interacting Electrons in Two Spatial Dimensions
1 Abstract The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Gini-bre RME), are applied to following quantum statistical systems: nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integr...
متن کاملQuantum fluctuations and random matrix theory
The random matrix ensembles are applied to the quantum statistical two-dimensional systems of electrons. The quantum systems are studied using the finite dimensional real, complex and quaternion Hilbert spaces of the eigenfunctions. The linear operators describing the systems act on these Hilbert spaces and they are treated as random matrices in generic bases of the eigenfunctions. The random e...
متن کاملApplications of methods of quantum statistical mechanics to two - dimensional electron systems
1 Abstract The random matrix ensembles are applied to the quantum statistical two-dimensional systems of electrons. The quantum systems are studied using the finite dimensional real, complex and quaternion Hilbert spaces of the eigenfunctions. The linear operators describing the systems act on these Hilbert spaces and they are treated as random matrices in generic bases of the eigenfunctions. T...
متن کاملJa n 20 05 Superfluid to Mott insulator transition in one , two , and three dimensions
We have created one-, two-, and three-dimensional quantum gases and study the superfluid to Mott insulator transition. Measurements of the transition using Bragg spectroscopy show that the excitation spectra of the low-dimensional superfluids differ significantly from the three-dimensional case. A low dimensional gas can be created in a trap when the confining potential restricts the motion of ...
متن کاملar X iv : h ep - p h / 03 04 05 2 v 4 1 6 Fe b 20 04 Fluctuations and Deconfinement Phase Transition in Nucleus – Nucleus Collisions
We propose a method to experimentally study the equation of state of strongly interacting matter created at the early stage of nucleus–nucleus collisions. The method exploits the relation between relative entropy and energy fluctuations and equation of state. As a measurable quantity, the ratio of properly filtered multiplicity to energy fluctuations is proposed. Within a statistical approach t...
متن کامل