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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

On a Resolution of the Identity in Terms of Coherent States

Authors	Boris F. Samsonov
Categories	quant-ph
ArXiv ID	quant-ph/9805051
URL	https://arxiv.org/abs/quant-ph/9805051

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.

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    "abstract": "Transformations of coherent states of the free particle by bounded and\nsemibounded symmetry operators are considered. Resolution of the identity\noperator in terms of the transformed states is analyzed. A generalized identity\nresolution is formulated. Darboux transformation operators are analyzed as\noperators defined in a Hilbert space. Coherent states of multisoliton\npotentials are studied.",
    "arxiv_id": "quant-ph/9805051",
    "authors": [
      "Boris F. Samsonov"
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    "title": "On a Resolution of the Identity in Terms of Coherent States",
    "url": "https://arxiv.org/abs/quant-ph/9805051"
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