The physical significance and representation theory analysis of conformal transformations of space and time (in German)
A study was made to interpret the scalar transformations and special conformal transformations of time and space as position-independent and position- dependent degaging of the length units. It is therefore shown that the assignment of length dimensions to physical magnitudes is synonymous with the requirement that these pertain to a representation of the scalar transformation. A representation theory analysis using the Cartan method shows that whole numbers always belong to tensors as length dimension. All representations of finite degrees of the 15-parameter conformal group can be constructed by means of two four-dimensional spin representation in which one uses the weil-known properties of Dirac algebra, which can be interpretated as the Lie algebra of conformal transformation. Therefore one has such combinations of the gamma matrices as occur in the theory of weak interaction (V-A coupling). If the Lie algebra of the conformal group is represented within the framework of functions with coordinates xmu, it becomes impossible to represent a positively defined metrics and the eigenfactors of the energy pulse operators form no complete system. It appears that the physically interesting representation of infinite degrees of the conformal group are not unitary. A relation between the four operators that produce the infinitesimal special conformal transformation and the quantum mechanical place operators exist. In conclusion it was shown that the known fields belonging to the inhomogeneous Lorentz group form only an incomplete representation of the conformai group as a result of nonsymmetry in the length dimensions. (tr-auth) evaporation rate nu p was drastically reduced while the atom evaporation rate was relatively unchanged. With a relatively weak electric field opposirg ion emission, ions would continue to evaporate but would be confined to a certain region near the emitter by a sort of semipermeable membrane, permeable to atoms but not ions. The surface electric fields referred to will usually be caused largely by sheaths, but these in turn will depend upon external electrode potentiais since the latter play a significant role in the removal rate of charge carriers.
- Research Organization:
- Universitat, Munich
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-011345
- OSTI ID:
- 4701193
- Journal Information:
- Annalen der Physik (Leipzig), Vol. 464, Issue 7-8; Other Information: Orig. Receipt Date: 31-DEC-63; ISSN 0003-3804
- Country of Publication:
- Country unknown/Code not available
- Language:
- German
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