vix.ing · top · new · best · stats · spec

On a Resolution of the Identity in Terms of Coherent States

1998/05/18 by B. F. Samsonov, Boris F. Samsonov, Samsonov, Boris F.
Physics and Astronomy · #Orbital Angular Momentum in Optics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9805051

arxiv created 1998/05/18 · arxiv updated 2009/12/01

Abstract

Transformations of coherent states of the free particle by bounded and semibounded symmetry operators are considered. Resolution of the identity operator in terms of the transformed states is analyzed. A generalized identity resolution is formulated. Darboux transformation operators are analyzed as operators defined in a Hilbert space. Coherent states of multisoliton potentials are studied.

Related