Staffordshire University logo
STORE - Staffordshire Online Repository

Exact Solutions for Confined Model Systems Using Kummer Functions

BURROWS, Brian and COHEN, M (2009) Exact Solutions for Confined Model Systems Using Kummer Functions. Advances in Quantum Chemistry, 57 (n/a). pp. 173-201. ISSN 00653276

Full text not available from this repository.

Abstract or description

We treat model systems where an electron is confined in a region of space. The particular models considered have solutions which may be expressed in terms of the Kummer functions. Both standard and non-standard Kummer functions are used in these models and a comprehensive summary of the usual and exceptional Kummer functions is given. The definition of confinement is widened to treat radial confinement in any spherical shell, including the asymptotic region and cases where the electron is confined to a lower dimension. Initially we consider the theory in K dimensional space and then give particular examples in 1, 2, and 3 dimensions. A commonly treated model is the radially confined hydrogen atom in 3 dimensions with an infinite barrier on a confining sphere so that the wavefunction is identically zero on this sphere. We have extended this model to treat a more general model of spherical confinement where the derivative of the charge density is zero on the confining sphere. It is shown that the analogous models for the radial harmonic oscillator and radial constant potentials may be treated using a generic technique.

Item Type: Article
Subjects: F100 Chemistry
F300 Physics
G100 Mathematics
H100 General Engineering
H900 Others in Engineering
Faculty: Faculty of Computing, Engineering and Sciences > Engineering
Depositing User: Peter OGRODNIK
Date Deposited: 05 Apr 2013 10:01
Last Modified: 23 Sep 2013 15:06
URI: http://eprints.staffs.ac.uk/id/eprint/771

Actions (login required)

View Item View Item

DisabledGo Staffordshire University is a recognised   Investor in People. Sustain Staffs
Legal | Freedom of Information | Site Map | Job Vacancies
Staffordshire University, College Road, Stoke-on-Trent, Staffordshire ST4 2DE t: +44 (0)1782 294000