Integrability, Supersymmetry and Coherent States

Chapter1. Curvature as an integrable deformation.- Chapter2. Trends in supersymmetric quantum mechanics.- Chapter3. Coherent states in Quantum Optics: An oriented overview.- Chapter4. Higher Order Quantum Superintegrability: a new "Painlevé conjecture.- Chapter5. Supersymmetries in Schrodinger - Pauli equationsand in Schrodinger equations with position dependent mass.- Chapter6. Nonlinear supersymmetry as a hidden symmetry.- Chapter7. Coherent and squeezed states: introductory review of basic notions, properties and generalizations.- Chapter8. Trace Formulas Applied to the Riemann -Function.- Chapter9. "Real- and complex-energy non-conserving particlenumber pairing solution".- Chapter10. Jacobi polynomials as su(2; 2) unitary irreducible representation.- Chapter11. Innite square-well, trigonometric Poschl-Teller and other potential wells with a moving barrier.- Chapter12. Variational Method Applied to Schrodinger-like Equation.- Chapter13. The Lippmann-Schwinger formula and one dimensional models with Dirac delta interactions.- Chapter14. Hermite coherent states for quadratic refractive index optical media.- Chapter15. Analysis of CPN 1 sigma models via soliton surfaces.- Chapter16. On the equivalence between Type I Liouville dynamical systems in the plane and the sphere.- Chapter17. Construction of partial dierential equations with conditional symmetries.- Chapter18. An Integro-dierential Equation of the Fractional Form: Cauchy Problem and Solution.- Chapter19. Quasi-integrability and some aspects of SU(3) Toda eld theory.- Chapter20. On some aspects of unitary evolution generated by non-Hermitian Hamiltonians.