Complex scaling calculation of the decaying quantum-propagation modes of neutral atoms in a magnetic guide - art. no. 025601

It is shown that the energies and the lifetimes of unstable modes of quantu m propagation of neutral atoms in a quadrupole magnetic guide can be calcul ated simply by diagonalizing the complex scaled Hamiltonian. The results re produce those obtained for the same geometry, but by a different method, by E. A. Hinds and C. Eberlein [Phys. Rev. A 61, 033614 (2000)]. The destabil izing effect of a weak bias magnetic held on the l = 0 propagation mode of s = 1/2 atoms is illustrated.