Classical mechanics, in the operatorial formulation of Koopman and von Neumann, can be written also in a functional form. This form two grassmannian partners of time make their natural appearance extending in this manner time to a three dimensional supermanifold. Quantization is then achieved by a process of dimensional reduction of this supermanifold, We prove that this procedure is equivalent to the well.known method of geometric quantization.
Quantization as a dimensional reduction phenomenon
GOZZI, ENNIO;
2006-01-01
Abstract
Classical mechanics, in the operatorial formulation of Koopman and von Neumann, can be written also in a functional form. This form two grassmannian partners of time make their natural appearance extending in this manner time to a three dimensional supermanifold. Quantization is then achieved by a process of dimensional reduction of this supermanifold, We prove that this procedure is equivalent to the well.known method of geometric quantization.File in questo prodotto:
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