Commutator Criteria for Magnetic Pseudodifferential Operators

Details Commutator Criteria for Magnetic Pseudodifferential Operators Commutator Criteria for Magnetic Pseudodifferential Operators

2009-02-03

arxiv.org/abs/0902.0513v2

Physics

Mathematical Physics

Acknowledgements added

Scientific paper

The gauge covariant magnetic Weyl calculus has been introduced and studied in previous works. We prove criteria in terms of commutators for operators to be magnetic pseudo-differential operators of suitable symbol classes. The approach is completely intrinsic; neither the statements nor the proofs depend on a choice of a vector potential. We apply this criteria to inversion problems, functional calculus, affiliation results and to the study of the evolution group generated by a magnetic pseudo-differential operator.

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