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- W108053181 abstract "This chapter discusses tunnel effects for semiclassical schrodinger operators. It presents the assumption that P = −h 2 Δ+ V (x) be a semiclassical Schrodinger operator on a compact Riemannian manifold M or on M = R n , where Δ is the Laplace operator and V is a real-valued C ∞ potential. The tunnel effects are the interactions between the various wells through the potential barrier, given by V ( x ) > 0. A very important role is played by the so called Agmon-metric max( V , 0) dx 2 , where dx 2 is the given Riemannian metric on M . One case where one gets satisfactory results, also in higher dimensions, is the one where all the wells are reduced to points, where V vanishes and has a strict minimum." @default.
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- W108053181 date "1986-01-01" @default.
- W108053181 modified "2023-09-26" @default.
- W108053181 title "Tunnel Effects for Semiclassical Schrödinger Operators" @default.
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- W108053181 doi "https://doi.org/10.1016/b978-0-12-501658-2.50023-3" @default.
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