General relativistic quantum mechanics: intrinsic spin theory
1993 (English)Report (Other academic)
On a Lorentz-manifold, a mathematically intrinsic spin-theory (meaning that the spin-operators and spin-fields themselves are tensors) is constructed (for arbitrary spin), the reason being that this is what you need in order to compute the generalization of the Einstein equation in general relativity, for particles with spin. Some of the corresponding (total) metric variations are also described, and from those, one can see that it gives rise to stress-energy tensors with positive statistical energy-densities, the latter being necessary in order to create a quantum field theory. This spin-theory only exists, in its completeness, in a four-dimensional Lorentz metric space, since it depends on the fact that the square of the Hodge star operator is minus one when acting on two-forms.
Place, publisher, year, edition, pages
Luleå: Luleå tekniska universitet, 1993. , 83 p.
Gula serien, ISSN 1400-4003 ; 1993:018
Research subject Mathematics
IdentifiersURN: urn:nbn:se:ltu:diva-22186Local ID: 1e080cb2-52c2-4de0-b2d7-34e3298d38d9OAI: oai:DiVA.org:ltu-22186DiVA: diva2:995235
Godkänd; 1993; 20120118 (ysko)2016-09-292016-09-29Bibliographically approved