Abstract
In this chapter, we study the asymptotics of the ground state energy of the magnetic Neumann operator \(P^N_{B{\bf A},\Omega}\) as the field strength B tends to infinity. We also obtain the localization properties of the ground state. These results are combined to analyze the question of the monotonicity of the ground state energy.
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© 2009 Birkhäuser Boston
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Fournais, S., Helffer, B. (2009). Large Field Asymptotics of the Magnetic Schrödinger Operator: The Case of Dimension 2. 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_8
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DOI: https://doi.org/10.1007/978-0-8176-4797-1_8
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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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