Particle in short-range potential in two dimensional structure in magnetic field

✍ Scribed by S. P. Andreev; T. V. Pavlova

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 117 KB
• Volume: 3
• Category: Article
• ISSN: 1612-2011
• DOI: 10.1002/lapl.200510093

✦ Synopsis

An exact solution is given for the problem of
determining the ground state of a charge particle in a zero range
force field located in a quantum well and in a magnetic field. The
dependence of the electron's ground state on the potential depth
and the magnetic field is investigated in a semiconductor layer
of an arbitrary width. In particular, it is shown that in the
two-dimensional case the bound state exists in potential at the
definite relation between the scattering length, the magnetic
length, and the layer width, in contrast to the three-dimensional
case, where the bound state always exists in an arbitrary
potential in the magnetic field.