The joint energy distribution function for the Hamiltonian H = H 0 − i WW + for the one - channel case
نویسندگان
چکیده
A closed analytical expression is derived for the joint distribution function of the real and the imaginary parts of the eigenenergies of the operator H = H0 − iWW+ for the one-channel case, where H0 is taken from the Poissonian or one of the Gaussian ensembles with universality index β, and where the squared moduli |wα |2 of the components of W are assumed to be χ2-distributed with universality index β̄. In the strong coupling limit and for the special case β = β̄ the joint distribution function of the real parts of the eigenvalues of H becomes identical with the joint energy distribution function of the eigenvalues of H0.
منابع مشابه
Energy Detection of Unknown Signals over Composite multipath/shadowing Fading Channels
In this paper, the performance analysis of an energy detector is exploited over composite multipath/shadowing fading channels, which is modeled by Rayleigh-lognormal (RL) distribution. Based on an approximate channel model which was recently proposed by the author, the RL envelope probability density function (pdf) is approximated by a finite sum of weighted Rayleigh pdfs. Relying on this inter...
متن کاملElectronic transport through dsDNA based junction: a Fibonacci model
A numerical study is presented to investigate the electronic transport properties through a synthetic DNA molecule based on a quasiperiodic arrangement of its constituent nucleotides. Using a generalized Green's function technique, the electronic conduction through the poly(GACT)-poly(CTGA) DNA molecule in a metal/DNA/metal model structure has been studied. Making use of a renormalization schem...
متن کاملAn extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system
In this paper, we study the Chebyshev property of the 3-dimentional vector space $E =langle I_0, I_1, I_2rangle$, where $I_k(h)=int_{H=h}x^ky,dx$ and $H(x,y)=frac{1}{2}y^2+frac{1}{2}(e^{-2x}+1)-e^{-x}$ is a non-algebraic Hamiltonian function. Our main result asserts that $E$ is an extended complete Chebyshev space for $hin(0,frac{1}{2})$. To this end, we use the criterion and tools developed by...
متن کاملCalculation of the total cross section for the ionization of H, He, Ne and Ar atoms by bare ions at the high energy range
In the present work, the total cross-section for the ionization of H, He, Ne and Ar atoms by +He2+ ، H+ ، Li3 ions has been calculated. In these calculations, a binary encounter approximation in the form of a two-body process between projectile ions and atomic electrons at the high energy range has been implemented. In order to enter the nuclear role of the target atom, the atomic electron vel...
متن کاملFlux Distribution in Bacillus subtilis: Inspection on Plurality of Optimal Solutions
Linear programming problems with alternate solutions are challenging due to the choice of multiple strategiesresulting in the same optimal value of the objective function. However, searching for these solutions is atedious task, especially when using mixed integer linear programming (MILP), as previously applied tometabolic models. Therefore, judgment on plurality of optimal m...
متن کامل