Springer, 2019. — 434 p. — (CRM Series in Mathematical Physics). — ISBN: 978-3-030-20086-2.
This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the "6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry", held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. Véronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.
Curvature as an Integrable Deformation
Trends in Supersymmetric Quantum Mechanics
Coherent States in Quantum Optics: An Oriented Overview
Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”
Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass
Nikitin, Anatoly G.
Plyushchay, Mikhail S.
Rosas-Ortiz, Oscar
Ashbaugh, Mark S. (et al.)
Betan, Rodolfo M. Id
Celeghini, Enrico (et al.)
Contreras-Astorga, Alonso (et al.)
Variational Method Applied to Schrödinger-Like Equation
The Lippmann–Schwinger Formula and One Dimensional Models with Dirac Delta Interactions
Hermite Coherent States for Quadratic Refractive Index Optical Media
Analysis of CPN−1
Sigma Models via Soliton Surfaces
On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere
Construction of Partial Differential Equations with Conditional Symmetries
An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution
Quasi-Integrability and Some Aspects of SU(3) Toda Field Theory
On Some Aspects of Unitary Evolution Generated by Non-Hermitian—Hamiltonians