On the logarithmic schrödinger equation
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 … 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 …
On the logarithmic schrödinger equation
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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 … 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 …
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 … 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 …
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 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.
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 ( …
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 … circumcised for marriageWeb31 de out. de 2024 · Logarithmic Schrödinger equation, Dirichlet boundary conditions, finite differences, Crank-Nicolson time stepping, error estimates. Mathematics Subject … circumcised high school boysWeb24 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 … circumcised guys regularWeb1 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, … circumcised guyWeb25 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 … diamond highway bandWeb1 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) … diamond hi energy reviewWeb1 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 … diamond hi energy dog food ingredients