In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

A superintegrable system is, roughly speaking, a system that allows more integrals of motion
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …

This is an introduction to non-commutative geometry, with special emphasis on those cases
where the structure algebra, which defines the geometry, is an algebra of matrices over the …

Exactly solvable models, that is, models with explicitly and completely diagonalizable
Hamiltonians are too few in number and insufficiently diverse to meet the requirements of …

The one-dimensional Schrödinger equation for the potential x 6+ αx 2+ l (l+ 1)/x 2 has many
interesting properties. For certain values of the parameters l and α the equation is in turn …

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in
Mechanics and Physics is the first book to provide a systematic construction of exact …

This article presents a review of recent developments on various aspects of the quantum
Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of …

We are interested in a fermion-antifermion pair in magnetized 2+ 1 dimensional optical
background with constant negative curvature. One implements this background for obtaining …

The theory of matrix models is reviewed from the point of view of its relation to integrable
hierarchies. Discrete 1-matrix, 2-matrix,'conformal'(multicomponent) and Kontsevich models …

Semi-classical and quantum Rabi models: in celebration of 80 years Page 1 Journal of
Physics A: Mathematical and Theoretical PREFACE Semi-classical and quantum Rabi …