Classical and non-classical eigenvalue asymptotics for magnetic Schrödinger operators

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

Nonclassical Eigenvalue Asymptotics for Operators of Schrödinger

which depends on the volume u)n of the unit sphere in R n and the beta function. Assuming /3 < 2 we see that integral (2) becomes divergent if V (x) vanishes to a sufficiently high order. The simplest such potential is V(x,y) = \x\\y\P o n R n + R m . The Weyl (volume counting) principle, when applied to the corresponding Schrödinger operator — A-hV(x), fails to predict discrete spectrum below ...

متن کامل

Quasi-classical versus Non-classical Spectral Asymptotics for Magnetic Schrödinger Operators with Decreasing Electric Potentials

We consider the Schrödinger operator H(V ) on L(R) or L(R), with constant magnetic field and electric potential V which typically decays at infinity exponentially fast or has a compact support. We investigate the asymptotic behaviour of the discrete spectrum of H(V ) near the boundary points of its essential spectrum. If the decay of V is Gaussian or faster, this behaviour is non-classical in t...

متن کامل

Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators

We study two-dimensional magnetic Schrödinger operators with a magnetic field that is equal to b > 0 for x > 0 and −b for x < 0. This magnetic Schrödinger operator exhibits a magnetic barrier at x = 0. The unperturbed system is invariant with respect to translations in the ydirection. As a result, the Schrödinger operator admits a direct integral decomposition. We analyze the band functions of ...

متن کامل

Asymptotics 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 کامل

Eigenvalue Estimates in the Semi-classical Limit for Pauli and Dirac Operators with a Magnetic Field

Leading order semi-classical asymptotics are given for the distribution of the eigen-values of Dirac and Pauli operators describing an electron in an electromagnetic eld. Minimal conditions are assumed on the electric and magnetic potentials to ensure the existence of only a nite number of eigenvalues outside the essential spectra. The method used is based on coherent state analysis.

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 Functional Analysis

سال: 1991

ISSN: 0022-1236

DOI: 10.1016/0022-1236(91)90039-8