Integrability, Supersymmetry and Coherent States

Chapter 1 Curvature as an Integrable Deformation

Chapter 2 Trends in Supersymmetric Quantum Mechanics

Chapter 3 Coherent States in Quantum Optics: An Oriented Overview

Chapter 4 Higher Order Quantum Superintegrability: a new "Painlevé conjecture"

Chapter 4 Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”

Chapter 5 Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass

Chapter 6 Nonlinear Supersymmetry as a Hidden Symmetry

Chapter 7 Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations

Chapter 8 Trace Formulas Applied to the Riemann ζ-Function

Chapter 9 Real- and Complex-Energy Non-conserving Particle Number Pairing Solution

Chapter 10 Jacobi Polynomials as su(2, 2) Unitary Irreducible Representation

Chapter 11 Infinite Square-Well, Trigonometric Pöschl-Teller and Other Potential Wells with a Moving Barrier

Chapter 12 Variational Method Applied to Schrödinger-Like Equation

Chapter 13 The Lippmann–Schwinger Formula and One Dimensional Models with Dirac Delta Interactions

Chapter 14 Hermite Coherent States for Quadratic Refractive Index Optical Media

Chapter 15 Analysis of ℂ P N − 1 $$\mathbb {C}P^{N-1}$$ Sigma Models via Soliton Surfaces

Chapter 16 On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere

Chapter 18 An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution

Chapter 19 Quasi-Integrability and Some Aspects of SU(3) Toda Field Theory

Chapter 20 On Some Aspects of Unitary Evolution Generated by Non-Hermitian Hamiltonians