Jf. Lu et al., WAVE-EQUATION FOR ANYONS AND ITS EXACT-SOLUTIONS IN EXTERNAL FIELDS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(10), 1997, pp. 1103-1109
By using the gauge-invariance, a Klein-Gordon's type equation for anyo
ns in external fields is constructed. The equation can be solved exact
ly in a constant electric and magnetic field, as well as in a quantize
d electromagnetic field. The analytic forms of solutions are also give
n in detail.