Path integrals and spinning particles in two-dimensional spaces (Q1576059)
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scientific article; zbMATH DE number 1495570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Path integrals and spinning particles in two-dimensional spaces |
scientific article; zbMATH DE number 1495570 |
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Path integrals and spinning particles in two-dimensional spaces (English)
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25 April 2002
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The authors extend the methods of the motion associated with a loop, from the classical quantum field theory to (2-dimensional) Riemannian manifolds. In order to deal with spin properties, an operator of parallel transport is inserted into the path integral. Applications are given for the path integral solutions on a sphere and a pseudosphere. Finally, for two cosmological models (infinitely or finitely expanding) the propagators and the wave functions are explicitly determined.
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2-dimensional spacetimes
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path integrals
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spin
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sphere
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pseudosphere
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Klein-Gordon equation
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classical quantum field theory
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spinning particles
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two-dimensional spaces
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0.7807151675224304
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0.770469069480896
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0.7691233158111572
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0.7477025985717773
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