Bose algebras: the complex and real wave representations (Q1189456)

This volume of lecture notes introduces various algebraic computational machineries connected with Bose Fock spaces, the algebra of creation and annihilation operators and their exponentials to wider audiences with no background in mathematical physics. Apart from standard introductory account, topics which are touched in this lecture note include coherent states, squeezed states, and (Segal-Bargmann) complex wave representation, the (Schrödinger) real wave representation and their connection. Gaussian measures on infinite dimensional spaces and their connection with the above formalism are explained somewhat in detail.