- 05-267 Itaru Sasaki
- Schrodinger operators with oscillating potentials
Aug 6, 05
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Abstract. Schrodinger operators $H$ with oscillating potentials such as $\cos x^2$ are considered. Such potentials are not relatively compact with respect to the free Hamiltonian. But we show that they do not change the essential spectrum. Moreover we derive upper bounds for negative eigenvalue sums of $H$.