A Geometrical Approach to Free-Field Quantization* (original) (raw)

1977

Abstract

A geometrical approach to the quantization of free relativistic fields is given. Complex probability amplitudes are assigned to the solutions of the classical evolution equation. It is assumed that the evolution is strictly classical, according to the scalar unitary representation of the Poincar group in a functional space. The theory is equivalent to canonical quantization. Apresenta -se uma abordagem geometrica da quantizacao de campos relativist icos li vres, onde ampl i tudes complexas de probabi li dade sao at ri buidas as solucoes da equacao classica de campo. Supoe-se que a evolucao seja estri tament classica, sendo dada pela representacao escalar uni taria do grupo de Poincare em um espaco funcional. A teoria e equivalente a quant i zacao canoni ca.

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