Infinite systems of potential wells
Copyright policy )Infinite systems of potential wells
This article is a short presentation of the results obtained in the last twelve years in the semiclassical study of the tunneling effect for the Schrödinger operator. The emphasis is on results where near a given energy the energy surface has an infinite number of connected components. The author presents recent results obtained by \textit{U. Carlsson} [Asymptotic Anal. 3, No. 3, 189-214 (1990; Zbl 0727.35094)] concerning a general reduction for the study of the spectrum at the bottom and by \textit{F. Klopp} [Ann. Inst. Henri Poincaré, Phys. Théor. 55, No. 1, 459-509 (1991; Zbl 0754.35100)] who studies the perturbations of a periodic potential.
- University of Paris-Saclay France
- University of Paris France
Estimates of eigenvalues in context of PDEs, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, semiclassical study of the tunneling effect for the Schrödinger operator, PDEs in connection with quantum mechanics
Estimates of eigenvalues in context of PDEs, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, semiclassical study of the tunneling effect for the Schrödinger operator, PDEs in connection with quantum mechanics
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