We study the spectrum of SU(2) × SO(2) matrix supersymmetric quantum mechanics. We use angular coordinates that allow us to find an explicit solution of the Gauss law constrains and single out the quantum number n (the Lorentz angular momentum). Energy levels are four-fold degenerate with respect to n and are labeled by nq, the largest n in a quartet. The Schrödinger equation is reduced to two ...

This paper treats pilot aided multi-path channel estimation with tracking loops for OFDM systems under slow to moderate fading conditions. Recent works have presented theoretical results for the tuning of second-order and thirdorder tracking loops in the particular context of Jakes’s Doppler spectrum channel. The method for getting the loop coefficients resorted either to the use of a given con...

We prove new explicit asymptotic formulae between (geometric) eigenvalues in max-algebra and classical distinguished of nonnegative matrices, which are useful tools for transferring results both settings. establish inequalities types Hadamard products weighted geometric means matrices. Moreover, a version the spectral mapping theorem spectrum is pointed out.

Collaborative spectrum sensing for detection of white spaces helps in realizing reliable and efficient spectrum sensing algorithms, which results in efficient usage of primary spectrum in secondary fashion. Collaboration among cognitive radios improves probability of detecting a spectral hole as well as sensing time. Available literature, in this domain, uses Gudmundson’s exponential correlatio...

We derive the spectrum and thermodynamics of the 1D supersymmetric t-J model with long range hopping and spin exchange using a set of maximal spin eigenstates. This spectrum confirms the recent conjecture that the asymptotic Bethe-ansatz spectrum is exact. By empirically determining the spinon degeneracies of each state, we are able to explicitly construct the free energy.