2013, Vol.16, No.1, pp.42-50
Spin 1 particle in Pauli approximation is investigated on the background of a curved space of constant negative curvature, Lobachevsky space. Nonrelativistic approximation is performed in the system of 10 equations resulted from separating the variables in Duffin-Kemmer equation specified in quasi-cartesian coordinates. The problem is solved exactly in Bessel functions, the quantum states are determined by four quantum numbers. The treatment is substantially based on the use of a generalized helicity operator in Lobachevsky space model.
Key words:
spin 1 particle, Duffin-Kemmer equation, Pauli approximation, Lobachevsky space, generalized helicity operator
Full text: Acrobat PDF (495KB)
Copyright © Nonlinear Phenomena in Complex Systems. Last updated: February 1, 2013