Chapter 1 Thermodynamic Properties of Ultracold Fermi Gases Across the BCS-BEC Crossover and the Bertsch Problem

Chapter 2 Scattering Theory for Delta-Potentials Supported by Locally Deformed Planes

Chapter 3 The Massless Nelson Hamiltonian and Its Domain

Chapter 4 A Note on the Dirac Operator with Kirchoff-Type Vertex Conditions on Metric Graphs

Chapter 6 Ultraviolet Properties of a Polaron Model with Point Interactions and a Number Cutoff

Chapter 7 Zero Modes and Low-Energy Resolvent Expansion for Three Dimensional Schrödinger Operators with Point Interactions

Chapter 8 Spectral Properties of Point Interactions with Fermionic Symmetries

Chapter 9 Born-Oppenheimer Type Approximation for a Simple Renormalizable System

Chapter 10 Spectral Isoperimetric Inequality for the δ′-Interaction on a Contour

Chapter 11 Quantum Confinement in α-Grushin Planes

Chapter 12 Kreı̆n-Višik-Birman Self-Adjoint Extension Theory Revisited

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