Abstract
For Schrödinger operators, the inclusion of a magnetic field raises the energy. This is the consequence of a basic inequality due to Kato. A variation on this question—namely, monotonicity of the ground state energy as a function of the parameter B—is of central importance in the theory of superconductivity and is discussed in Section 2.3 here and repeatedly in the book.
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© 2009 Birkhäuser Boston
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Fournais, S., Helffer, B. (2009). Diamagnetism. 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_2
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DOI: https://doi.org/10.1007/978-0-8176-4797-1_2
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