Universal dynamics for the defocusing logarithmic Schrödinger equation
R Carles, I Gallagher - 2018 - projecteuclid.org
We consider the Schrödinger equation with a logarithmic nonlinearity in a dispersive regime.
We show that the presence of the nonlinearity affects the large time behavior of the solution …
We show that the presence of the nonlinearity affects the large time behavior of the solution …
Universal Dynamics for the Logarithmic Schrödinger Equations
R Carles - Harmonic Analysis and Wave Equations, 2019 - World Scientific
We consider the nonlinear Schrödinger equation with a logarithmic nonlinearity, whose sign
is such that no non-trivial stationary solution exists. Explicit computations show that in the …
is such that no non-trivial stationary solution exists. Explicit computations show that in the …
The driven oscillator, with friction
TB Smith - arXiv preprint arXiv:1709.03391, 2017 - arxiv.org
This paper develops further the semi-classical theory of an harmonic oscillator acted on by a
Gaussian white noise force discussed in (arXiv: 1508.02379). Here I add to that theory the …
Gaussian white noise force discussed in (arXiv: 1508.02379). Here I add to that theory the …
[PDF][PDF] Universal dynamics for the defocusing logarithmic nonlinear Schrodinger equation
R Carles, I Gallagher - arXiv preprint arXiv:1611.06083, 2016 - researchgate.net
We consider the nonlinear Schrödinger equation with a logarithmic nonlinearity, whose sign
is such that no non-trivial stationary solution exists. Explicit computations show that in the …
is such that no non-trivial stationary solution exists. Explicit computations show that in the …
The driven oscillator
TB Smith - arXiv preprint arXiv:1508.02379, 2015 - arxiv.org
Using the Wigner-Weyl mapping of quantum mechanics to phase space we consider exactly
the quantum mechanics of an harmonic oscillator driven by an external white noise force or …
the quantum mechanics of an harmonic oscillator driven by an external white noise force or …