Artículos de revistas
Coherent states of non-relativistic electron in the magnetic-solenoid field
Fecha
2010Registro en:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.43, n.35, 2010
1751-8113
10.1088/1751-8113/43/35/354016
Autor
BAGROV, V. G.
Gavrilov, Sergey
Guitman, Dmitri Maximovitch
Meira Filho, Damião Pedro
Institución
Resumen
In the present work we construct coherent states in the magnetic-solenoid field, which is a superposition of the Aharonov-Bohm field and a collinear uniform magnetic field. In the problem under consideration there are two kinds of coherent states, those which correspond to classical trajectories which embrace the solenoid and those which do not. The constructed coherent states reproduce exactly classical trajectories, maintain their form under the time evolution and form a complete set of functions, which can be useful in semiclassical calculations. In the absence of the solenoid field these states are reduced to the well known in the case of uniform magnetic field Malkin-Man`ko coherent states.