Adelaide Research & Scholarship
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| Type: | Journal article |
| Title: | Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators |
| Other Titles: | Semiclassical asymptotics and gaps in the spectra of magnetic Schrodinger operators |
| Author: | Varghese, M. Shubin, M. |
| Citation: | Geometriae Dedicata, 2002; 91(1):155-173 |
| Publisher: | Kluwer Academic Publ |
| Issue Date: | 2002 |
| ISSN: | 0046-5755 |
| Statement of Responsibility: | V. Mathai and M. Shubin |
| Abstract: | In this paper, we study an L 2 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 goes to zero. |
| Keywords: | magnetic Schrödinger operators spectral gaps semiclassical approximation Morse potentials |
| Description: | The original publication is available at www.springerlink.com |
| DOI: | 10.1023/A:1016245930716 |
| Published version: | http://dx.doi.org/10.1023/a:1016245930716 |
| Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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