Generalized free time-dependent Schrödinger equation with initial data in Fourier Lebesgue spaces

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multiresolution scheme for Time-Dependent Schrödinger Equation

Article history: Received 3 November 2009 Accepted 21 November 2009 Available online xxxx

متن کامل

Generalized Lebesgue Spaces and Application to Statistics

Statistics requires consideration of the “ideal estimates” defined through the posterior mean of fractional powers of finite measures. In this paper we study L1= , the linear space spanned by th power of finite measures, 2 (0; 1). It is shown that L1= generalizes the Lebesgue function space L1= ( ), and shares most of its important properties: It is a uniformly convex (hence reflexive) Banach s...

متن کامل

The Random Schrödinger Equation: Homogenization in Time-Dependent Potentials

We analyze the solutions of the Schrödinger equation with the low frequency initial data and a time-dependent weakly random potential. We prove a homogenization result for the low frequency component of the wave field. We also show that the dynamics generates a non-trivial energy in the high frequencies, which do not homogenize – the high frequency component of the wave field remains random and...

متن کامل

On one semidiscrete Galerkin method for a generalized time-dependent 2D Schrödinger equation

An initial–boundary value problem for a generalized 2D Schrödinger equation in a rectangular domain is considered. Approximate solutions of the form c1(x1, t)χ1(x1, x2) + · · ·+ cN(x1, t)χN(x1, x2) are treated, where χ1, . . . ,χN are the first N eigenfunctions of a 1D eigenvalue problem in x2 depending parametrically on x1 and c1, . . . , cN are coefficients to be defined; they are of interest...

متن کامل

Schrödinger equations with time - dependent

We present some general results for the time-dependent mass Hamiltonian problem with H = − 2e∂xx + h(2)(t)e2νx2. This Hamiltonian corresponds to a time-dependent mass (TM) Schrödinger equation with the restriction that there are only P 2 and X2 terms. We give the specific transformations to a different quantum Schrödinger(TQ) equation and to a different time-dependent oscillator (TO) equation. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Pseudo-Differential Operators and Applications

سال: 2011

ISSN: 1662-9981,1662-999X

DOI: 10.1007/s11868-011-0041-6