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Spectral Theory and Mathematical Physics

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Cover of 'Spectral Theory and Mathematical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 Lower Bounds for Sojourn Time in a Simple Shape Resonance Model
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    Chapter 2 Spectral Properties for Hamiltonians of Weak Interactions
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    Chapter 3 Magnetic Laplacian in sharp three dimensional cones
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    Chapter 4 Spectral Clusters for Magnetic Exterior Problems
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    Chapter 5 The Spectral Shift Function and the Witten Index
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    Chapter 6 Stahl’s Theorem (aka BMV Conjecture): Insights and Intuition on its Proof
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    Chapter 7 Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials
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    Chapter 8 Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation
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    Chapter 9 Levinson’s Theorem: An Index Theorem in Scattering Theory
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    Chapter 10 Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations
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    Chapter 11 Harmonic Analysis and Random Schrödinger Operators
Attention for Chapter 5: The Spectral Shift Function and the Witten Index
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