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Mathematical Challenges of Zero-Range Physics

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Table of Contents

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    Book Overview
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    Chapter 1 Thermodynamic Properties of Ultracold Fermi Gases Across the BCS-BEC Crossover and the Bertsch Problem
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    Chapter 2 Scattering Theory for Delta-Potentials Supported by Locally Deformed Planes
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    Chapter 3 The Massless Nelson Hamiltonian and Its Domain
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    Chapter 4 A Note on the Dirac Operator with Kirchoff-Type Vertex Conditions on Metric Graphs
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    Chapter 5 Dirac Operators and Shell Interactions: A Survey
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    Chapter 6 Ultraviolet Properties of a Polaron Model with Point Interactions and a Number Cutoff
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    Chapter 7 Zero Modes and Low-Energy Resolvent Expansion for Three Dimensional Schrödinger Operators with Point Interactions
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    Chapter 8 Spectral Properties of Point Interactions with Fermionic Symmetries
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    Chapter 9 Born-Oppenheimer Type Approximation for a Simple Renormalizable System
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    Chapter 10 Spectral Isoperimetric Inequality for the δ′-Interaction on a Contour
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    Chapter 11 Quantum Confinement in α-Grushin Planes
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    Chapter 12 Kreı̆n-Višik-Birman Self-Adjoint Extension Theory Revisited
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    Chapter 13 Translation and Adaptation from Russian of M. Sh. Birman, “On the Theory of Self-Adjoint Extensions of Positive Definite Operators”, Math. Sb. 28 (1956), 431–450
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