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.
KeywordsDistributional Sense Virial Theorem Distributional Inequality Pointwise Positivity Multiplication Operator Versus
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