## Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

## If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

# Asymptotics of the Negative Discrete Spectrum of a Class of Schrödinger Operators with Large Coupling Constant

Ari Laptev
Proceedings of the American Mathematical Society
Vol. 119, No. 2 (Oct., 1993), pp. 481-488
DOI: 10.2307/2159932
Stable URL: http://www.jstor.org/stable/2159932
Page Count: 8
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available

## Abstract

We obtain the asymptotics of the negative discrete spectrum of the Schrödinger operator with a large coupling constant and potentials $V \not\in L_{m/2}(R^m), m \geq 3$. The result is very sensitive to small perturbations of the potential and depends on the negative spectrum of some auxiliary differential problems on Sm - 1.

• 481
• 482
• 483
• 484
• 485
• 486
• 487
• 488