- 97-432 Evans W.D., Lewis R.T.
- Eigenvalues Estimates in the semi-classical limit for Pauli and Dirac
Operators with a magnetic field
(97K, TeX)
Aug 6, 97
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Abstract. Leading order semi-classical asymptotics are given for the distribution
of the eigenvalues of Dirac and Pauli operators describing an electron in an
electro-magnetic field. Minimal conditions are assumed on the electric
and magnetic potentials to insure the existence of only a finite number
of eigenvalues outside the essential spectra. The method used is based
on coherent state analysis.
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