Abstract
A generalization of the Aharonov-Cashier theorem to the case of a topologically finite orient able surface is proposed and the expression for the index in the space of square integrable functions is obtained. The restrictions on the space of admissible functions, which are due to the selfadjointness of the Dirac operator, are discussed and the expression for the index in the case a conformally finite orient able surface is obtained. (author). 18 refs.
Citation Formats
Mishchenko, A V, and Sitenko, Yu A.
Zero modes of the two-dimensional Dirac operator on a noncompact Riemann surface in an external magnetic field; Nulevye mody dvumernogo dirakovskogo operatora na nekompaktnoj rimanovoj poverkhnosti vo vneshnem magnitnom pole.
Ukraine: N. p.,
1992.
Web.
Mishchenko, A V, & Sitenko, Yu A.
Zero modes of the two-dimensional Dirac operator on a noncompact Riemann surface in an external magnetic field; Nulevye mody dvumernogo dirakovskogo operatora na nekompaktnoj rimanovoj poverkhnosti vo vneshnem magnitnom pole.
Ukraine.
Mishchenko, A V, and Sitenko, Yu A.
1992.
"Zero modes of the two-dimensional Dirac operator on a noncompact Riemann surface in an external magnetic field; Nulevye mody dvumernogo dirakovskogo operatora na nekompaktnoj rimanovoj poverkhnosti vo vneshnem magnitnom pole."
Ukraine.
@misc{etde_10130665,
title = {Zero modes of the two-dimensional Dirac operator on a noncompact Riemann surface in an external magnetic field; Nulevye mody dvumernogo dirakovskogo operatora na nekompaktnoj rimanovoj poverkhnosti vo vneshnem magnitnom pole}
author = {Mishchenko, A V, and Sitenko, Yu A}
abstractNote = {A generalization of the Aharonov-Cashier theorem to the case of a topologically finite orient able surface is proposed and the expression for the index in the space of square integrable functions is obtained. The restrictions on the space of admissible functions, which are due to the selfadjointness of the Dirac operator, are discussed and the expression for the index in the case a conformally finite orient able surface is obtained. (author). 18 refs.}
place = {Ukraine}
year = {1992}
month = {Dec}
}
title = {Zero modes of the two-dimensional Dirac operator on a noncompact Riemann surface in an external magnetic field; Nulevye mody dvumernogo dirakovskogo operatora na nekompaktnoj rimanovoj poverkhnosti vo vneshnem magnitnom pole}
author = {Mishchenko, A V, and Sitenko, Yu A}
abstractNote = {A generalization of the Aharonov-Cashier theorem to the case of a topologically finite orient able surface is proposed and the expression for the index in the space of square integrable functions is obtained. The restrictions on the space of admissible functions, which are due to the selfadjointness of the Dirac operator, are discussed and the expression for the index in the case a conformally finite orient able surface is obtained. (author). 18 refs.}
place = {Ukraine}
year = {1992}
month = {Dec}
}