深渊 发表于 2025-4-1 05:05:12
,Spectral Deformation of Schrödinger Operators,ms. Our main application is to the semiclassical theory of shape resonances. For this, we need to study the behavior of Schrödinger operators under spectral deformations. In this chapter, we first study the effect of local deformations on the Laplacian and its spectrum. We then show that the effectMissile 发表于 2025-4-1 07:18:49
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The Spectrum of Linear Operators and Hilbert Spaces,rator on a Banach space. This operator is crucial to the definition of the spectrum. We define the spectrum and give some of its properties. We then specialize to Hilbert spaces and develop their basic characteristics in this and the following chapter.ENNUI 发表于 2025-4-1 15:25:12
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Self-Adjointness: Part 1. The Kato Inequality,tials are self-adjoint. After discussing in Chapters 11 and 12 the semiclassical analysis of eigenvalues for Schrödinger operators with positive, growing potentials, we will return to the question of self-adjointness in Chapter 13 and present the Kato-Rellich theory.ECG769 发表于 2025-4-2 00:31:21
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