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Title:
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Covariant Weyl quantization, symbolic calculus, and the product formula |
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Author:
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Gunturk, Kamil Serkan |
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Description:
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A covariant Wigner -Weyl quantization formalism on the manifold that uses
pseudo -differential operators is proposed . The asymptotic product formula that leads
to the symbol calculus in the presence of gauge and gravitational fields is presented .
The new definition is used to get covariant differential operators from momentum
polynomial symbols . A covariant Wigner function is defined and shown to give
gauge -invariant results for the Landau problem . An example of the covariant Wigner
function on the 2 -sphere is also included . |
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URI:
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http : / /hdl .handle .net /1969 .1 /3963
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Date:
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2013-03-12 |