Abstract
In this and the next chapters, the preservation of self-adjointness under hermitian perturbations are considered. The classical application of Rellich’s theorem by Kato to a hydrogen atom hamiltonian is discussed in detail. Examples, the virial and KLMN theorems and an outstanding Kato distributional inequality are also presented in this chapter.
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© 2009 Birkhäuser Verlag AG
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(2009). Kato-Rellich Theorem. In: Intermediate Spectral Theory and Quantum Dynamics. Progress in Mathematical Physics, vol 54. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8795-2_7
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DOI: https://doi.org/10.1007/978-3-7643-8795-2_7
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8794-5
Online ISBN: 978-3-7643-8795-2
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