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Noninertial and spin effects on the 2D Dirac oscillator in the magnetic cosmic string background. (English) Zbl 1460.83104

The geometry caused by a cosmic string is investigated in a rotating frame, with the angular frequency being parallel to the cosmic string. A Dirac spinor is studied in such a background, and a magnetic field, which is again parallel to the string. The energy-eigenvalues are studied and explicit expressions are obtained in the limit that the angular velocity of the frame is small. The non-relativistic limit is also investigated, and the corresponding results in that limit are obtained.

MSC:

83E30 String and superstring theories in gravitational theory
83F05 Relativistic cosmology
83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
83C75 Space-time singularities, cosmic censorship, etc.
81V74 Fermionic systems in quantum theory

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