A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical
gravitational backgrounds involving black holes or branes naturally lead to quasinormal …

We study a family of'classical'orthogonal polynomials which satisfy (apart from a three-term
recurrence relation) an eigenvalue problem with a differential operator of Dunkl type. These …

We introduce the notion of pseudo-Hermiticity and show that every Hamiltonian with a real
spectrum is pseudo-Hermitian. We point out that all the PT-symmetric non-Hermitian …

This chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

The authors review the theory and phenomenology of instantons in quantum
chromodynamics (QCD). After a general overview, they provide a pedagogical introduction …

Frames, or lattices consisting of mass points connected by rigid bonds or central-force
springs, are important model constructs that have applications in such diverse fields as …

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of
complex dynamics. Utilising a pragmatic, physical approach, this self-contained book …

This book introduces the factorization method in quantum mechanics at an advanced level,
with the aim of putting mathematical and physical concepts and techniques like the …