Vertex operators in Hilbert space

Boenkost, W; Constantinescu, F

doi:10.1063/1.530048

Title: Vertex operators in Hilbert space

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Abstract

Free vertex operators [ital V]([gamma],[ital z]) are introduced as operators in Hilbert space. They are densely defined for [vert bar][ital z][vert bar][lt]1. Any radially ordered product of vertex operators is defined on a dense subset as an operator product. [parallel][ital V]([gamma],[ital z])[Psi][parallel] is bound by [parallel]exp([ital cN])[Psi][parallel] for appropriate [Psi], where [ital N] is the number operator and [ital c] is a positive constant. These results are applied to screened vertex operators.

Authors:

Boenkost, W; Constantinescu, F ^[1]

Fachbereich Mathematik, J. W. Goethe-Universitaet Frankfurt, Robert-Mayer-Strasse 10, D-6000 Frankfurt a. M. 1 (Germany)

Publication Date:: Sun Aug 01 00:00:00 EDT 1993

OSTI Identifier:: 5644262

Resource Type:: Journal Article

Journal Name:: Journal of Mathematical Physics (New York); (United States)

Additional Journal Information:: Journal Volume: 34:8; Journal ID: ISSN 0022-2488

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM OPERATORS; HILBERT SPACE; VERTEX FUNCTIONS; CONFORMAL INVARIANCE; CONVERGENCE; GELL-MANN THEORY; ISING MODEL; PERTURBATION THEORY; QUANTUM FIELD THEORY; BANACH SPACE; CRYSTAL MODELS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; SPACE; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)

Citation Formats


                    Boenkost, W, and Constantinescu, F. Vertex operators in Hilbert space.  United States: N. p., 1993. 
        Web.  doi:10.1063/1.530048.

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                    Boenkost, W, & Constantinescu, F. Vertex operators in Hilbert space.  United States.  https://doi.org/10.1063/1.530048

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                    Boenkost, W, and Constantinescu, F. 1993.  
        "Vertex operators in Hilbert space".  United States.  https://doi.org/10.1063/1.530048.

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@article{osti_5644262,

  title        = {Vertex operators in Hilbert space},

  author       = {Boenkost, W and Constantinescu, F},

  abstractNote = {Free vertex operators [ital V]([gamma],[ital z]) are introduced as operators in Hilbert space. They are densely defined for [vert bar][ital z][vert bar][lt]1. Any radially ordered product of vertex operators is defined on a dense subset as an operator product. [parallel][ital V]([gamma],[ital z])[Psi][parallel] is bound by [parallel]exp([ital cN])[Psi][parallel] for appropriate [Psi], where [ital N] is the number operator and [ital c] is a positive constant. These results are applied to screened vertex operators.},

  doi          = {10.1063/1.530048},

  url          = {https://www.osti.gov/biblio/5644262},
  journal      = {Journal of Mathematical Physics (New York); (United States)},

  issn         = {0022-2488},

  number       = ,

  volume       = 34:8,

  place        = {United States},

  year         = {Sun Aug 01 00:00:00 EDT 1993},

  month        = {Sun Aug 01 00:00:00 EDT 1993}

}

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