نتایج جستجو برای: independent schrodinger equation

تعداد نتایج: 666852  

M. A. Fariborzi Araghi, S. Naghshband

In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. Also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region ...

2015
T. Aktosun

\Ve consider the direct and inverse scattering for the n-dimensional Schrodinger equation, n 2: 2, with a potential having no spherical symmetry. Sufficient conditions are given for the existence of a Wiener-Hopf factorization of the corresponding scattering operator. This factorization leads to the solution of a related Riemann-Hilbert problem, which plays a key role in inverse scattering.

2017
Bastien Varlot Yanne Kouomou Chembo Christophe Finot B. Varlot

We analytically calculate and discuss the radio-frequency spectrum of the socalled Akhmediev breathers, a class of nonlinear solutions of the nonlinear Schrodinger equation that governs the propagation in a single mode optical fiber. We propose a practical application of ABs to the field of ultra-wideband pulse generation.

Journal: :The Journal of chemical physics 2004
Garnet Kin-Lic Chan

We describe in detail our high-performance density matrix renormalization group (DMRG) algorithm for solving the electronic Schrodinger equation. We illustrate the linear scalability of our algorithm with calculations on up to 64 processors. The use of massively parallel machines in conjunction with our algorithm considerably extends the range of applicability of the DMRG in quantum chemistry.

2008
Luis Vega

I’ll present some recent work with F. Planchon on bilinear virial identities for the nonlinear Schrodinger equation, which are extensions of the Morawetz interaction inequalities firstly obtained by Colliander, Keel, Staffilani, Takaoka and Tao. We recover and extend known bilinear improvements to Strichartz inequalities and provide applications to various nonlinear problems, most notably on do...

Journal: :The São Paulo Journal of Mathematical Sciences 2008

Journal: :Journal of Nonlinear Mathematical Physics 2021

We establish the local and global theory for Cauchy problem of singular Hartree equation in three dimensions, that is, modification non-linear Schrodinger with n...

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