Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/2976
Title: | THE SPECTRA OF THE SCHROEDINGER OPERATOR |
Authors: | BRENNER, TERENCE |
Keywords: | Mathematics. |
Issue Date: | 1984 |
Publisher: | ProQuest Dissertations & Theses |
Citation: | Source: Dissertation Abstracts International, Volume: 45-12, Section: B, page: 3837. |
Abstract: | We look at the Schrodinger operator H=-(DELTA)+q(x) where (DELTA) is the Laplacian and q(x)(epsilon)R('n). We give sufficient conditions for the spectrum of H to contain the interval of the form {lcub}a,(INFIN)) and sufficient conditions for the essential spectrum of H to contain the interval of the form {lcub}b,(INFIN)). Our estimates for the lower bounds of a and b are positive numbers. We allow q(x) to be negative in some region. Our results are in R('2) and in R('n). |
URI: | https://ezproxy.yu.edu/login?url=http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:8502693 https://hdl.handle.net/20.500.12202/2976 |
Appears in Collections: | Mathematical Sciences Dissertations |
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