FIZIKA B 3 (1994) 1, 57-65

GENERALIZED JORDAN-WIGNER TRANSFORMATION AND NUMBER OPERATORS

MIROSLAV DORE�I�, STJEPAN MELJANAC and MARIJAN MILEKOVI�^*
Rudjer Bo�kovi�. Institute, Bijeni�ka c.54, 41001 Zagreb, Croatia
^*Prirodoslovno-Matemati�ki Fakultet, Department of Theoretical Physics
Bijeni�ka c.32, 41000 Zagreb, Croatia

Received 18 May 1994

We define a class of deformed multimode oscillator algebras which possess number operators and can be mapped to multimode Bose algebra by generalized Jordan-Wigner transformation. We construct and discuss the states in the Fock space and the corresponding number operators.

UDC 53.01 : 512
PACS 02.20+b

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