In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

harmonics have become an important issue in modern power systems. the widespread penetration of non-linear loads to emerging power systems has turned power quality analysis into an important operation issue under both steady state and transient conditions. this paper employs an extended harmonic domain (ehd) based framework for dynamic analysis of long term analysis over voltages during the tra...

In this paper we consider a semiclassical version of the wave equations with singular Hölder time-dependent propagation speeds on lattice ħZn. We allow speed to vanish leading weakly hyperbolic nature equations. Curiously, very much contrary Euclidean case considered by Colombini, de Giorgi and Spagnolo [2] other authors, Cauchy problem in is well-posed ℓ2(ħZn). However, also recover well-posed...