Spectra of the Schroedinger operator
Thesis/Dissertation
·
OSTI ID:5345424
The author examines the Schroedinger operator H = -..delta.. + q(x) where ..delta.. is the Laplacian and q(x)epsilon R/sup n/. He gives sufficient conditions for the spectrum of H to contain the interval of the form (a,infinity) and sufficient conditions for the essential spectrum of H to contain the interval of the form (b.infinity). The estimates for the lower bounds of a and b are positive numbers. q(x) is allowed to be negative in some region. The results are in R/sup 2/ and in R/sup n/.
- Research Organization:
- Yeshiva Univ., New York (USA)
- OSTI ID:
- 5345424
- Country of Publication:
- United States
- Language:
- English
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