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Derivation of Isothermal Quantum Fluid Equations with Fermi-Dirac and Bose-Einstein Statistics
By using the quantum maximum entropy principle we formally derive, from a underlying kinetic description, isothermal (hydrodynamic and diffusive) quantum fluid equations for particles with
Quantum drift-diffusion modeling of spin transport in nanostructures
We consider a two-dimensional electron gas with a spin-orbit interaction of Bychkov and Rashba type. Starting from a microscopic model, represented by the von Neumann equation endowed with a suitable
Diffusive Limit of the Two-Band k⋅p Model for Semiconductors
We derive semiclassical diffusive equations for the densities of electrons in the two energy bands of a semiconductor, as described by a k⋅p Hamiltonian. The derivation starts from a quantum kinetic
If Ref. [2], a parity decomposition method was applied to recast the one-dimensional, stationary Wigner equation with inflow boundary conditions into two decoupled evolution equations but with
Some results on discrete eigenvalues for the Stochastic Nonlinear Schrödinger Equation in fiber optics
Abstract We study a stochastic Nonlinear Schrödinger Equation (NLSE), with additive white Gaussian noise, by means of the Nonlinear Fourier Transform (NFT). In particular, we focus on the propagation
Quantum Transport in Crystals: Effective Mass Theorem and K·P Hamiltonians
In this paper the effective mass approximation and the k·p multi-band models, describing quantum evolution of electrons in a crystal lattice, are discussed. Electrons are assumed to move in both a
Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations
The propagation of the optical field complex envelope in a single‐mode fiber is governed by a one‐dimensional cubic nonlinear Schrödinger equation with a loss term. We present a result about