Sharp trace asymptotics for a class of 2D-magnetic operators
نویسندگان
چکیده
منابع مشابه
Trace class operators and Hilbert-Schmidt operators
If X,Y are normed spaces, let B(X,Y ) be the set of all bounded linear maps X → Y . If T : X → Y is a linear map, I take it as known that T is bounded if and only if it is continuous if and only if E ⊆ X being bounded implies that T (E) ⊆ Y is bounded. I also take it as known that B(X,Y ) is a normed space with the operator norm, that if Y is a Banach space then B(X,Y ) is a Banach space, that ...
متن کاملA Simple Characterization of the Trace - Class of Operators
The trace-class (Tc) of operators on a Hilbert space is characterized in terms of existence of certain centralizers. KEY WO.Rt)S., AI. PHPASES. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE3. 47BI0, 46K15.
متن کاملTrace Class Conditions for Functions of Schrödinger Operators
We consider the difference f(−∆+V )−f(−∆) of functions of Schrödinger operators in L(R) and provide conditions under which this difference is trace class. We are particularly interested in non-smooth functions f and in V belonging only to some L space. This is motivated by applications in mathematical physics related to Lieb–Thirring inequalities. We show that in the particular case of Schrödin...
متن کاملA numerical technique for solving a class of 2D variational problems using Legendre spectral method
An effective numerical method based on Legendre polynomials is proposed for the solution of a class of variational problems with suitable boundary conditions. The Ritz spectral method is used for finding the approximate solution of the problem. By utilizing the Ritz method, the given nonlinear variational problem reduces to the problem of solving a system of algebraic equations. The advantage o...
متن کاملAsymptotics and Gaps in the Spectra of Magnetic Schrödinger Operators
In this paper, we study an L version of the semiclassical approximation of magnetic Schrödinger operators with invariant Morse type potentials on covering spaces of compact manifolds. In particular, we are able to establish the existence of an arbitrary large number of gaps in the spectrum of these operators, in the semiclassical limit as the coupling constant μ goes to zero.
متن کاملذخیره 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: Annales de l’institut Fourier
سال: 2013
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2835