On the logarithmic schrödinger equation
The logarithmic Schrödinger equation is the partial differential equation. In mathematics and mathematical physics one often uses its dimensionless form: The relativistic version of this equation can be obtained by replacing the derivative operator with the D'Alembertian, similarly to the Klein–Gordon … Ver mais In theoretical physics, the logarithmic Schrödinger equation (sometimes abbreviated as LNSE or LogSE) is one of the nonlinear modifications of Schrödinger's equation. It is a classical wave equation with applications to … Ver mais • Nonlinear Schrödinger equation • Superfluid Helium-4 • Superfluid vacuum theory Ver mais • Weisstein, Eric W. "SchroedingerEquation". MathWorld. Ver mais Web4 de nov. de 2024 · We analyze dynamical properties of the logarithmic Schrödinger equation under a quadratic potential. The sign of the nonlinearity is such that it is known …
On the logarithmic schrödinger equation
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Web1 de fev. de 2024 · Abstract. In this paper we prove global existence and uniqueness of solutions to the stochastic logarithmic Schrödinger equation with linear multiplicative noise. Our approach is mainly based on the rescaling approach and the method of maximal monotone operators. In addition, uniform estimates of solutions in the energy space H 1 ( … WebAbstract. We present a regularized finite difference method for the logarithmic Schrödinger equation (LogSE) and establish its error bound. Due to the blowup of the logarithmic …
Web25 de abr. de 2013 · The logarithmic Sch r¨ odinger equation i∂ t φ +∆ φ + φ lo g φ 2 =0 ,φ :[ 0 , ∞ ) × R n → C ,n ≥ 3 , (1.1) admits applications to quantum mechanics, quantum … Web25 de fev. de 2024 · Stochastic logarithmic Schrodinger equations: energy regularized approach. Jianbo Cui, Liying Sun. In this paper, we prove the global existence and …
Web7 de mar. de 2024 · We study the following fractional logarithmic Schrödinger equation: ( − Δ ) s u + V ( x ) u = u log u 2 , x ∈ R N , where N ≥ 1 , ( − Δ ) s denotes the fractional … Web1 de jan. de 2024 · A. H. Ardila, Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity, Nonlinear Analysis, 155 (2024), 52-64.
WebIn the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of …
Web10 de abr. de 2024 · We consider the dispersion managed power-law nonlinear Schrödinger (DM NLS) equations with a small parameter ɛ > 0 and the averaged … crystals that ward off evil spiritsWeb29 de jul. de 2016 · Coffman C. V.: Uniqueness of the ground state solution for {\Delta u + u^ {3} - u = 0} and variational characterization of other solutions. Arch. Rat. Mech. Anal. … dynamax t200d foldable motorised treadmiWeb24 de mar. de 2024 · The Schrödinger equation describes the motion of particles in nonrelativistic quantum mechanics, and was first written down by Erwin Schrödinger. … crystals then he kissed me liveWeb1 de nov. de 2024 · Consider the logarithmic Schrödinger equation (LSE) given by i ∂ t ψ = H ψ ≡ − Δ ψ + V ψ + λ ψ log ψ 2 ∫ ψ 2 d x (1.1) with λ ∈ R, where Δ denotes the … crystals that stimulate creativityWeb31 de out. de 2024 · Logarithmic Schrödinger equation, Dirichlet boundary conditions, finite differences, Crank-Nicolson time stepping, error estimates. Mathematics Subject … dynamax t3000c motorised treadmillWeb30 de abr. de 2024 · This article concerns with the existence of multiple positive solutions for the following logarithmic Schrödinger equation. { − ϵ 2 Δ u + V ( x) u = u log u 2, in R … dynamax technical supportWeb25 de abr. de 2013 · On the logarithmic Schrodinger equation. In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we … crystals that ward off negative energy