The quantum derivatives of e, A and logA, which play a basic role in quantum statistical physics, are derived and their convergence is proven for an unbounded positive operator A in a Hilbert space. Using the quantum analysis based on these quantum derivatives, a basic equation for the entropy operator in nonequilibrium systems is derived, and Zubarev’s theory is extended to infinite order with...

A design methodology for quadrature band-pass Σ∆ modulator is proposed. The methodology uses a novel approach by locking IF frequency to sampling frequency which may considered as a disadvantage but as shown in this text that actually it is vice versa. The method is presented with derivation of the base circuitry and examples provided in order to present that the method is adequate for satisfyi...

First we review the derivation of the relativistic flux tube model for a quarkantiquark system from Wilson area law as we have given in a preceding paper. Then we extend the method to the three-quark case and obtain a Lagrangian corresponding to a star flux tube configuration. A Hamiltonian can be explicitly constructed as an expansion in 1/m2 or in the string tension σ. In the first case it re...

The quantum derivatives of e, A and logA which play a basic role in quantum statistical physics are derived and their convergence is proven for an unbounded positive operator A in a Hilbert space. Using the quantum analysis based on these quantum derivatives, Kubo’s linear response theory is reformulated in terms of the inner derivation δH for the relevant Hamiltonian H, and Zubarev’s theory is...

The purpose of this review is to provide a comprehensive pedagogical introduction into Keldysh technique for interacting out–of–equilibrium fermionic and bosonic systems. The emphasis is put on a functional integral representation of underlying microscopic models. A large part of the review is devoted to derivation and applications of nonlinear σ–model for disordered metals and superconductors....

The derivation of the theoretical equations for thermal conductivity is performed for a model material composed of straight nanofibers. Each nanofiber has a shape of soft-core spherocylinder (SC), i.e. a circular cylinder of length T L and external radius T R capped on its both ends by two hemispheres. The “soft-core” assumption implies that SCs can freely intersect with each other and the inte...

avila and molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). this work is a further investigation of generalized weak structures due to avila and molina. further we introduce the structures ro(g) and rc(g) and study the properties of the structur...