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Playing with Numbers, with Fermions and Bosons

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Abstract

We construct nonlinear maps which realize the fermionization of bosons and the bosonization of fermions with the view of obtaining states coding naturally integers in standard or in binary basis. Specifically, with reference to spin \(\frac{1}{2}\) systems, we derive raising and lowering bosonic operators in terms of standard fermionic operators and vice versa. The crucial role of multiboson operators in the whole construction is emphasized.

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Authors and Affiliations

  1. Dipartimento di Meccanica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy

    Francesco A. Raffa

  2. Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy

    Mario Rasetti

  3. ISI-Foundation, Villa Gualino, Viale Settimio Severo 65, 10133, Turin, Italy

    Mario Rasetti

Authors
  1. Francesco A. Raffa
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  2. Mario Rasetti
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Correspondence to Francesco A. Raffa.

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Dedicated to Giuseppe Castagnoli for his 65th birthday.

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Raffa, F.A., Rasetti, M. Playing with Numbers, with Fermions and Bosons. Int J Theor Phys 47, 2141–2147 (2008). https://doi.org/10.1007/s10773-007-9573-1

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  • DOI: https://doi.org/10.1007/s10773-007-9573-1

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