Archivio Istituzionale della RicercaWe 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 12 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.
Playing with numbers, with fermions and bosons / Raffa, Francesco Antonino; Rasetti, Mario. - In: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. - ISSN 0020-7748. - 47:8(2008), pp. 2141-2147. [10.1007/s10773-007-9573-1]
Playing with numbers, with fermions and bosons
RAFFA, Francesco Antonino;RASETTI, Mario
2008
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 12 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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https://hdl.handle.net/11583/1798291
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