Semiclassical Theory Of Shape Resonances In Quantum Mechanics

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Semiclassical Theory of Shape Resonances in Quantum Mechanics

Author: Peter D. Hislop
language: en
Publisher: American Mathematical Soc.
Release Date: 1989
In this paper, we prove the existence of shape resonances in the semi-classical approximation for Hamiltonians of the form [italic]H([lowercase Greek]Lambda) [triple bar symbol] −([capital Greek]Delta + ([lowercase Greek]Lambda2[italic]V + [italic]U on [italic]L2([bold]R[superscript italic]n), where ([lowercase Greek]Lambda [triple bar symbol] 1/h[with stroke], h[with stroke] [triple bar symbol] (2[lowercase Greek]Pi)−1h.
Recent Developments in Quantum Mechanics

Author: Anne Boutet de Monvel
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Proceedings of the Brasov Conference, Poiana Brasov 1989, Romania