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Yurii Sitenko

Publications and source records attributed to Yurii Sitenko.

2 recordsLinked to original sources
arXiv1999

Aharonov-Bohm effect in curved space and cosmic strings

A quantum theory is developed for the scattering of a nonrelativistic particle in the field of a cosmic string regarded as a combination of a magnetic and gravitational strings. Allowance is made for the effects due to the finite transverse dimensions of the string under fairly general assumptions about the distribution of the magnetic field and spatial curvature in the string. It is shown that in a definite range of angles the differential cross section at all absolute values of the wave vector of the incident particle depends strongly on the magnetic flux of the string.

hep-th↗
arXiv1999

Scattering in the pair of Hilbert spaces

The problem of the scattering of a charged test particle in the gravitational background of axially symmetrical wormhole in the presence of the Aharonov-Bohm type magnetic field is considered. It is shown that the natural mathematical framework appropriate for the problem is the scattering theory in the pair of Hilbert spaces. Both relevant modified wave operators and $S$-matrices are found.

hep-th↗