[Abstract list] [Previous] [Next] [Home]
Phys. Rev. B 51 (1995) pp. 7318-7321
The embedding method for confined quantum systems
Cavendish Laboratory, Madingley Road, Cambridge, CB3 0HE, United Kingdom
Institute for Theoretical Physics, University of Nijmegen, Toernooiveld, NL-6525 ED Nijmegen, The Netherlands
Abstract
We discuss the application of the embedding method to the
problem of finding the eigenstates of confined quantum
systems. Embedding is a general way of tackling boundary condition
problems, giving a true variational principle, and we apply it to
the confinement problem by embedding within an isotropic medium with
a very large potential.
Corrections for incomplete confinement are described.
The method is tested on examples recently studied by
Brownstein [Phys. Rev. Lett. 71, 1427 (1993)], namely an
electron in two dimensions confined within the quadrant of a
circle, and a H atom off centre in a spherical cavity.