Abstract Generalized “Coherent” States are the eigenstates of the lowering and raising
operators of non-compact groups. In particular the discrete series of representations of SO …

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 …

We investigate the details of the bulk-boundary correspondence in Lorentzian signature anti–
de Sitter space. Operators in the boundary theory couple to sources identified with the …

A bstract Perturbations of massless fields in the Kerr-Newman black hole background enjoy
a (“Love”) SL (2, ℝ) symmetry in the suitably defined near zone approximation. We present a …

We study quantum field theories placed on a two-dimensional de Sitter spacetime (dS 2)
with an eye on the group-theoretic organization of single and multi-particle states. We …

Special relativity and quantum mechanics, formulated early in the twentieth century, are the
two most important scientific languages and are likely to remain so for many years to come …

Understanding the hydrogen atom has been at the heart of modern physics. Exploring the
symmetry of the most fundamental two body system has led to advances in atomic physics …

We show that the linear perturbations of any spin field in the near-zone limit of the Kerr black
hole are identical to those of an AdS 2 black hole which enjoys the same basic properties of …

This book contains comprehensive reviews and reprints on dynamical groups, spectrum
generating algebras and spectrum supersymmetries, and their applications in atomic and …

The powerful group theoretical formalism of potential algebras is extended to non-Hermitian
Hamiltonians with real eigenvalues by complexifying so (2, 1), thereby getting the complex …