Some essentially self-adjoint Dirac operators with spherically symmetric potentials

1973 ◽  
Vol 14 (1) ◽  
pp. 63-75 ◽  
Author(s):  
K. E. Gustafson ◽  
P. A. Rejto
Keyword(s):  
Dirac Operators ◽  
Spherically Symmetric

scholarly journals Dequantization of the Dirac monopole

2009 ◽  
Vol 465 (2110) ◽  
pp. 3047-3068
Author(s):  
Dorje C. Brody
Keyword(s):  
Principal Bundle ◽  
Dirac Operators ◽  
Bundle Theory ◽  
Symmetric Model ◽  
Spherically Symmetric ◽  
Dirac Monopole ◽  
Usual Model ◽  
Spin Structures ◽  
Model Free ◽  
Spherically Symmetric Model

Using a sheaf-theoretic extension of conventional principal bundle theory, the Dirac monopole is formulated as a spherically symmetric model free of singularities outside the origin such that the charge may assume arbitrary real values. For integral charges, the construction effectively coincides with the usual model. Spin structures and Dirac operators are also generalized by the same technique.

Dirac operators with a spherically symmetric δ‐shell interaction

1989 ◽  
Vol 30 (12) ◽  
pp. 2875-2882 ◽  
Author(s):  
J. Dittrich ◽  
P. Exner ◽  
P. Šeba
Keyword(s):  
Dirac Operators ◽  
Spherically Symmetric
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