On the basis of a curved space-time with RIEMANNEAN geometry the conception of spinors is analyzed. It is shown that a consequent treatment of spinors as invariants with respect to coordinate transformations (SOMMERFELD’S first point of view) gives the well known energy-momentum-tensor and the correct spin integral. For this purpose it is necessary to develop NOETHER’S theorem in such a way that not the metric tensor gmn but the metric spintensor is the fundamental metrical quantity. This fact is the cause that the BELINFANTE tensor expression cannot be applied. A new tensor expression for spinor fields is derived. In this connection DIRAC’S theory and HEISENBERG’S theory are investigated.
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A Journal of Physical Sciences: Zeitschrift für Naturforschung A (ZNA) is an international scientific journal which publishes original research papers from all areas of experimental and theoretical physics. In accordance with the name of the journal, which means “Journal for Natural Sciences”, manuscripts submitted to ZNA should have a tangible connection to actual physical phenomena.