Independence in Operator Algebras

Frank E. Harris, Hendrik J. Monkhorst, David L. Freeman

This book contains the proceedings of Algebraic and Diagrommatic Methods in Mang-Fermion Theory. Topics covered include: Operator Algebra; The Independent-Particle Model; Occupation-Number Formalism; Diagrams; The Configuration-Interaction Method; Many-Body Perturbation Theory; and The Coupled-Cluster Method.

V. Balakrishnan

Hideaki Ujino, Miki Wadati

It is shown that the quantum inverse scattering method (QISM) and the exchange operator formalism, which are independently developed to deal with the quantum Calogero-Moser-Sutherland models, give exactly the same operator algebra in the space of wave functions of identical particles.

Jan Hamhalter

Kazimierz Napiórkowski

A. Mufti, H. A. Schmitt, M. Sargent

A powerful operator-algebra technique is used to calculate several useful relations encountered in quantum optics, such as the disentangling of the squeezing operator. The technique uses a faithful finite dimensional matrix representation of a Lie algebra to perform representation-independent calculations and often requires considerably less computation than other methods. While it has had little exposure within the quantum optics community, the method is quite popular with mathematical physicists in field theory.