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Nonlinear Schroedinger equation in the presence of uniform acceleration
(American Institute of Physics, 2013-04)
We consider a recently proposed nonlinear Schroedinger equation exhibiting solitonlike solutions of the power-law form ei(kx−wt) q , involving the q-exponential function which naturally emerges within nonextensive ...
Solutions of the Schroedinger equation for piecewise harmonic potentials: Remarks on the asymptotic behavior of the wave functions
(American Association of Physics Teachers, 2017-10)
We discuss the solutions of the Schroedinger equation for piecewise potentials, given by the harmonic oscillator potential for |x|>a and by an arbitrary function for |x|<a, using elementary methods. The study of this problem ...
Global controllability of 1D Schroedinger-Poisson equation
(Unión Matemática Argentina, 2013-06)
This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t = -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type ...
Existence of ground states for a one-dimensional relativistic schrödinger equation
(American Institute of Physics, 2012-06)
Relativistic Schrödinger equation with a nonlinear potential interaction describes the dynamics of a particle, with rest mass m, travelling to a significant fraction |v| < 1 of the light speed c = 1. At first, we deal with ...
Asymptotic Behavior for a Class of Solutions to the Critical Modified Zakharov-Kuznetsov Equation
(Wiley-blackwell Publishing, IncMaldenEUA, 2010)
Schrödinger link between nonequilibrium thermodynamics and Fisher information
(American Physical Society, 2002-10)
It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both nonequilibrium and equilibrium thermodynamics can be obtained ...
Quasi-stationary states of the NRT nonlinear Schroedinger equation
(Elsevier Science, 2013-05)
With regards to the nonlinear Schrödinger equation recently advanced by Nobre, Rego-Monteiro, and Tsallis (NRT), based on Tsallis q-thermo-statistical formalism, we investigate the existence and properties of its ...