CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
research
Exactly-solvable problems for two-dimensional excitons
Authors
D.G.W. Parfitt
M.E. Portnoi
Publication date
22 July 2013
Publisher
Nova Science Publishers, Inc.
Abstract
Mathematical Physics Frontiers (editor: Charles V. Benton)Copyright © 2004 Nova Science PublishersSeveral problems in mathematical physics relating to excitons in two dimensions are considered. First, a fascinating numerical result from a theoretical treatment of screened excitons stimulates a re-evaluation of the familiar two-dimensional hydrogen atom. Formulating the latter problem in momentum space leads to a new integral relation in terms of special functions, and fresh insights into the dynamical symmetry of the system are also obtained. A discussion of an alternative potential to model screened excitons is given, and the variable phase method is used to compare bound-state energies and scattering phase shifts for this potential with those obtained using the two-dimensional analogue of the Yukawa potential. The second problem relates to excitons in a quantizing magnetic field in the fractional quantum Hall regime. An exciton against the background of an incompressible quantum liquid is modelled as a few-particle neutral composite consisting of a positively-charged hole and several quasi-electrons with fractional negative charge. A complete set of exciton basis functions is derived, and these functions are classified using a result from the theory of partitions. Some exact results are obtained for this complex few-particle problem
Similar works
Full text
Open in the Core reader
Download PDF
Available Versions
Supporting member
Open Research Exeter
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:ore.exeter.ac.uk:10871/119...
Last time updated on 06/08/2013