On the logarithmic schrödinger equation

Web1 de jun. de 2024 · The logarithmic Schrödinger equation (LogSE) on unbounded domains plays an important role in studies of nonlinear wave mechanics (1) i ∂ t ψ ( x, t) … Web24 de jul. de 2024 · The time-independent logarithmic Schrödinger equation with a Coulomb interaction can be expressed (in atomic units) as where is a constant …

Global attractor for damped forced nonlinear logarithmic Schrödinger ...

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 · On the logarithmic Schrodinger equation. In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we … orange health department nc https://jasonbaskin.com

Logarithmic Schrödinger equation - Wikipedia

Web24 de mar. de 2024 · The Schrödinger equation describes the motion of particles in nonrelativistic quantum mechanics, and was first written down by Erwin Schrödinger. … Web18 de fev. de 2024 · In this paper, we investigate semi-classical bound states for logarithmic Schrödinger type equations with a potential function which has a finite number of … Web1 de ago. de 2003 · Abstract. We show that, under a suitable assumption on the pressure tensor, the mass and momentum balance equations of hydrodynamical theory, … orange health department fl

Logarithmic Schrödinger equation with quadratic potential

Category:On the convergence of the Crank-Nicolson method for the …

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On the logarithmic schrödinger equation

(PDF) Solution of the logarithmic Schrödinger equation with a …

Web1 de fev. de 2024 · Résumé Dans cet article on démontre l'existence et l'unicité globale des solutions pour les équations stochastiques logarithmiques du type Schrödinger avec … 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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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 … 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 …

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 … WebIntroduction The logarithmic Schrödinger equation (1.1) i∂t φ + ∆φ + φ log φ 2 = 0, φ : [0, ∞) × Rn → C, n ≥ 3, admits applications to quantum mechanics, quantum optics, nuclear physics, transport and diffusion phe …

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. 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

WebSchrödinger equation, the fundamental equation of the science of submicroscopic phenomena known as quantum mechanics. The equation, developed (1926) by the …

Web29 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. … iphone se yahooアプリWeb1 de fev. de 2010 · In this paper we investigate the existence of a unique global mild solution in H 1 (R 3) of the initial-boundary value problem associated with the logarithmic … iphone se yahoo検索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 … orange healthcare \u0026 wellness centerWeb1 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 ( … orange health insuranceiphone se wristlet caseWeb30 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 … orange heart \u0026 neptune - mousou katharsisWeb31 de out. de 2024 · Logarithmic Schrödinger equation, Dirichlet boundary conditions, finite differences, Crank-Nicolson time stepping, error estimates. Mathematics Subject … iphone se yettel