Abstract
The authors prove a number of results asserting the existence of eigenvalues of the Schrödinger operator H-λW in a gap of σ(H), where H=-Δ+V and V and W are bounded. The existence of these eigenvalues is an important element in the theory of the colour of crystals. The basic theorems are proved in ℝv; stronger results for v=1 are also presented.
Original language | English (US) |
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Pages (from-to) | 461-490 |
Number of pages | 30 |
Journal | Communications In Mathematical Physics |
Volume | 103 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1986 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics