Abstract
In this chapter, we present one of the basic techniques for analyzing the ground state energy (also called lowest eigenvalue or principal eigenvalue) of a Schrödinger operator in the case when the electric potential V has nondegenerate minima, in the limit of large coupling constant B. This problem turns out to be a semiclassical problem.
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© 2009 Birkhäuser Boston
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Fournais, S., Helffer, B. (2009). Introduction to Semiclassical Methods for the Schrödinger Operator with a Large Electric Potential. In: Spectral Methods in Surface Superconductivity. Progress in Nonlinear Differential Equations and Their Applications, vol 77. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4797-1_7
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DOI: https://doi.org/10.1007/978-0-8176-4797-1_7
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4796-4
Online ISBN: 978-0-8176-4797-1
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