On a Resolution of the Identity in Terms of Coherent States

Details On a Resolution of the Identity in Terms of Coherent States On a Resolution of the Identity in Terms of Coherent States

1998-05-18

arxiv.org/abs/quant-ph/9805051v1

Physics

Quantum Physics

Scientific paper

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.

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