A study of the Hilbert space properties of the Veneziano model operator formalism | Zendy

Lars Brink | Zendy; Paul H. Frampton | Zendy; H. B. Nielsen | Zendy

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A study of the Hilbert space properties of the Veneziano model operator formalism

Author(s) -

Lars Brink,

Paul H. Frampton,

H. B. Nielsen

Publication year - 1974

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1666852

Subject(s) - factorization , mathematics , hilbert space , creation and annihilation operators , propagator , harmonic oscillator , pure mathematics , mathematical physics , operator (biology) , bounded function , vertex (graph theory) , hermitian matrix , physics , combinatorics , mathematical analysis , quantum mechanics , graph , repressor , transcription factor , quantum , gene , biochemistry , chemistry , algorithm

The mathematical basis of the operator formalism for the N-particle generalization of Veneziano's beta function dual model for two-body scattering is discussed. It is shown how the whole theory can be built up from three operators-the propagator, the symmetric vertex and the twisting operator. Properties are studied within the Hilbert space defined by the Fock space of harmonic oscillator states. (11 refs)

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