Spectral Parameterization for the Power Sums of Quantum Supermatrix
نویسنده
چکیده
A parameterization for the power sums of GL(m|n) type quantum (super)matrix is obtained in terms of it’s spectral values. The work of D.G. is partially supported by the grant ANR-05-BLAN-0029-01. PP and PS are supported by the Russian Foundation for Basic Research, grant No. 08-01-00392-a. D.G. and P.P. would like acknowledge a warm hospitality of the Max-Planck-Institute f ur Mathematik where this work was completed. 0 POWER SUMS OF QUANTUM SUPERMATRIX 1
منابع مشابه
ar X iv : q ua nt - p h / 02 05 05 1 v 2 4 J un 2 00 3 Structure and Parameterization of Stochastic Maps of Density Matrices
The most general evolution of the density matrix of a quantum system with a finite-dimensional state space is by stochastic maps which take a density matrix linearly into the set of density matrices. These dynamical stochastic maps form a linear convex set that may be viewed as supermatrices. The property of hermiticity of density matrices renders an associated supermatrix hermitian and hence d...
متن کاملInvestigation of the Effect of Recombination on Superluminescent Light-Emitting Diode Output Power Based on Nitride Pyramid Quantum Dots
In this article, the temperature behavior of output power of superluminescent light-emitting diode (SLED) by considering the effect of non-radiative recombination coefficient, non-radiative spontaneous emission coefficient and Auger recombination coefficients has been investigated. For this aim, GaN pyramidal quantum dots were used as the active region. The numerical method has been used to sol...
متن کاملThe Impact of the Spectral Filter Bandwidth on the Spectral Entanglement and Indistinguishability of Photon Pairs of SPDC Process
In this paper, we have investigated the dependence of the spectral entanglement and indistinguishability of photon pairs produced by the spontaneous parametric down-conversion (SPDC) procedure on the bandwidth of spectral filters used in the detection setup. The SPDC is a three-wave mixing process which occurs in a nonlinear crystal and generates entangled photon pairs and utilizes as one of th...
متن کاملDynamic characterization and predictability analysis of wind speed and wind power time series in Spain wind farm
The renewable energy resources such as wind power have recently attracted more researchers’ attention. It is mainly due to the aggressive energy consumption, high pollution and cost of fossil fuels. In this era, the future fluctuations of these time series should be predicted to increase the reliability of the power network. In this paper, the dynamic characteristics and short-term predictabili...
متن کاملThe Sums and Products of Commuting AC-Operators
Abstract: In this paper, we exhibit new conditions for the sum of two commuting AC-operators to be again an AC-operator. In particular, this is satisfied on Hilbert space when one of them is a scalar-type spectral operator.
متن کامل