The weakly coupled fractional one-dimensional Schrödinger operator with index 1 < α ≤ 2

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

The weakly coupled fractional one - dimensional Schrödinger operator with index 1 < α ≤ 2

We study fundamental properties of the fractional, one-dimensional Weyl operator P̂α densely defined on the Hilbert space H = L2(R, dx) and determine the asymptotic behaviour of both the free Green’s function and its variation with respect to energy for bound states. In the sequel we specify the Birman-Schwinger representation for the Schrödinger operator KαP̂ − g|V̂ | and extract the finite-rank ...

متن کامل

Numerical solution for one-dimensional independent of time Schrödinger Equation

In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...

متن کامل

. SP ] 1 4 Ju l 2 00 5 Schrödinger operator with a junction of two 1 - dimensional periodic potentials

The spectral properties of the Schrödinger operator Tty = −y′′ + qty in L2(R) are studied, with a potential qt(x) = p1(x), x < 0, and qt(x) = p(x + t), x > 0, where p1, p are periodic potentials and t ∈ R is a parameter of dislocation. Under some conditions there exist simultaneously gaps in the continuous spectrum of T0 and eigenvalues in these gaps. The main goal of this paper is to study the...

متن کامل

Weakly Coupled Schrödinger Operators on Regular Metric Trees

Spectral properties of the Schrödinger operator Aλ = −∆+λV on regular metric trees are studied. It is shown that as λ goes to zero the behavior of the negative eigenvalues of Aλ depends on the global structure of the tree. Mathematics Subject Classification: 34L40, 34B24, 34B45.

متن کامل

On the Numerical Solution of One Dimensional Schrodinger Equation with Boundary Conditions Involving Fractional Differential Operators

In this paper we study of collocation method with Radial Basis Function to solve one dimensional time dependent Schrodinger equation in an unbounded domain. To this end, we introduce artificial boundaries and reduce the original problem to an initial boundary value problem in a bounded domain with transparent boundary conditions that involves half order fractional derivative in t. Then in three...

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 Mathematical Physics

سال: 2010

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.3526962