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Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two
- Karpeshina, Yulia;
- Lee, Young-Ran
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8초록
We consider a polyharmonic operator H=(-Delta)(l)+V(x) in dimension two with l >= 6, l being an integer, and a limit-periodic potential V(x). We prove that the spectrum contains a semiaxis of absolutely continuous spectrum.
키워드
absolutely continuous spectrum; limit periodic potential; BETHE-SOMMERFELD CONJECTURE; SCHRODINGER OPERATOR; EIGENVALUES; EQUATION; DENSITY; STATES
- 제목
- Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two
- 저자
- Karpeshina, Yulia; Lee, Young-Ran
- 발행일
- 2008
- 유형
- Article
- 권
- 33
- 호
- 9
- 페이지
- 1711 ~ 1728