Derivation of the Tight-Binding Approximation for Time-Dependent Nonlinear Schrodinger Equations

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Derivation of the Tight-Binding Approximation for Time-Dependent Nonlinear Schrodinger Equations

机译：时间依赖性非线性Schrodinger方程的紧密绑定近似的推导

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In this paper, we consider the nonlinear one-dimensional time-dependent Schrodinger equation with a periodic potential and a bounded perturbation. In the limit of large periodic potential, the time behavior of the wavefunction can be approximated, with a precise estimate of the remainder term, by means of the solution to the discrete nonlinear Schrodinger equation of the tight-binding model.

机译：在本文中，我们考虑了具有周期性潜力和有界扰动的非线性一维时间依赖性Schrodinger方程。在大周期性电位的极限中，可以通过对紧密结合模型的离散非线性Schrodinger方程的解决方案来近似近似术语的精确估计。

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《Annales Henri Poincare》 |2020年第2期|共22页
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中图分类理论物理学;
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1. Derivation of the Tight-Binding Approximation for Time-Dependent Nonlinear Schrodinger Equations [J] . Annales Henri Poincare . 2020,第2期

机译：时间依赖性非线性Schrodinger方程的紧密绑定近似的推导
2. Crank-Nicolson Galerkin approximations to nonlinear Schrodinger equations with rough potentials [J] . Henning Patrick, Peterseim Daniel Mathematical models and methods in applied sciences . 2017,第11期

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5. Non-Conservative Variational Approximation for Nonlinear Schrodinger Equations and its Applications. [D] . Rossi, Julia M. 2016

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Derivation of the Tight-Binding Approximation for Time-Dependent Nonlinear Schrodinger Equations

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