Abstract
Describing the spin degree of freedom in terms of Grassmann variables, we study the quantization problem of nonrelativistic and relativistic spinning particles interacting with crossed electric and magnetic fields by using the path integral method. The problem presents some difficulties due to the odd-dimensional nature of the phase space for the spin variables. We show how to deal with these difficulties by bringing back all the problems to the study of the quantum mechanics of a single Grassmann variable. Then it is straightforward to perform the path integrals in all the cases considered here, simply by solving the classical equations of motion.
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