Title: Functional Differential Calculus of Operators. II
Abstract:The calculus of operators developed in a previous paper is here carried through in momentum space. The differential quotient, i.e., the derivative of an operator with respect to a free-field operator ...The calculus of operators developed in a previous paper is here carried through in momentum space. The differential quotient, i.e., the derivative of an operator with respect to a free-field operator is expressed algebraically by means of generalized functions and certain commutators. No recourse is made to configuration space but the resultant calculus in p-space is related to the previously developed one in x-space by means of Fourier transforms. The calculus is presented for spins 0, ½, and 1. The difficulties which were encountered before in the calculus for charged vector fields are resolved by working with a field equation which incorporates the supplementary condition needed to eliminate the spin-zero components.Read More
Publication Year: 1966
Publication Date: 1966-03-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 12
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