On the logarithmic schrödinger equation
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 … 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 …
On the logarithmic schrödinger equation
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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 … Web24 de jul. de 2024 · The logarithmic Schrödinger equation (log SE) is one of the nonlinear modi fi cations of Schrödinger ’ s equation, with applications in quantum optics [ 1 , 2 ] …
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 …
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) … 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 …
Web19 de fev. de 2024 · Remi Carles, Chunmei Su. We consider the Schrodinger equation with a logarithmic nonlinearity and a repulsive harmonic potential. Depending on the …
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 … datapath fx4 with macbook proWeb1 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 … bitsearch radarrWebSchrödinger equation, the fundamental equation of the science of submicroscopic phenomena known as quantum mechanics. The equation, developed (1926) by the … bits dubai mathematics facultyWeb18 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 … data path switched from vfThe 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 bitsdc++.h: no such file or directoryWeb1 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 … bits dubai fees for 4 years btech in rupeesWeb1 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. bits dynamic setting