Griesemer, Marcel and Lutgen, Joseph (1999) Accumulation of discrete eigenvalues of the radial Dirac operator. JOURNAL OF FUNCTIONAL ANALYSIS, 162 (1). pp. 120-134. ISSN 0022-1236,
Full text not available from this repository.Abstract
For bounded potentials which behave like -cx(-gamma) at infinity we investigate whether discrete eigenvalues of the radial Dirac operator H-kappa accumulate at +1 or not. It is well known that gamma = 2 is the critical exponent. We show that c = 1/8 + kappa(kappa+1)/2 is the critical coupling constant in the case gamma = 2. Our approach is to transform the radial Dirac equation into a Sturm-Liouville equation nonlinear in the spectral parameter and to apply a new, general result on accumulation of eigenvalues of such equations. (C) 1999 Academic Press.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPECTRUM; accumulation of eigenvalues; radial Dirac operator; Sturm-Liouville equation; critical coupling constant; non-relativistic limit |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Nov 2022 15:30 |
| Last Modified: | 15 Nov 2022 15:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48513 |
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