Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-10-22
Mod.Phys.Lett. A12 (1997) 403-410
Physics
High Energy Physics
High Energy Physics - Theory
9 pages. A couple of clarifying comments have been added. This modified version has been published in Mod. Phys. Lett. A
Scientific paper
10.1142/S0217732397000418
An extra term generally appears in the q-deformed $su(2)$ algebra for the deformation parameter $q = \exp{ 2 \pi i\theta}$, if one combines the Biedenharn-Macfarlane construction of q-deformed $su(2)$, which is a generalization of Schwinger's construction of conventional $su(2)$, with the representation of the q-deformed oscillator algebra which is manifestly free of negative norm. This extra term introduced by the requirement of positive norm is analogous to the Schwinger term in current algebra. Implications of this extra term on the Bloch electron problem analyzed by Wiegmann and Zabrodin are briefly discussed.
Fujikawa Kazuo
Kubo Harunobu
Oh Chang-Heon
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