FOUNDATIONS OF THE THEORY OF DYNAMICAL SYSTEMS OF INFINITELY MANY DEGREES OF FREEDOM. PART I
It is shown effectively thats while there are many unitarily inequivalent representations of the canonical Bose-Einstein field variabless the S-matrix can be theoretically specified without using any particular representaticn. The central idea is that the bounded functions of finite subsets of the canonical variabless together with their limits in a physically meaningful senses are substantially the same for all representations. On the other hands convergence questions may depend strongly on the representation; in facts formal operators fairly typical of divergent interaction Hamiltonians may be rendered hermitian operators in Hilbert space by a suitable choice of representation. Applicatiors are made to the Isclothing" of field kinematics' statistics, and canonical variables, for a theory in which only the transformation properties of single particles under an arbitrary covariance groups and a covariant interactions need to be specified. The results are mostly of a general character, such as the existence of a physical vacuum, and the possibility of ascribing definite constitutions in terms of primary elementary particles to bound states. It is shown also that the canonical variables and occupation numbers of a field can be described by the so-called "free-field representations" only if the physical vacuum is invariant under the dynamical development of the system in essentially the interaction representation. (auth)
- Research Organization:
- Originating Research Org. not identified
- NSA Number:
- NSA-13-013960
- OSTI ID:
- 4250939
- Journal Information:
- Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd., Vol. Vol: 31, No. 12; Other Information: Orig. Receipt Date: 31-DEC-59
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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