Volume 89, Number 1, January 2010
|Number of page(s)||6|
|Section||Atomic, Molecular and Optical Physics|
|Published online||21 January 2010|
Geometric scaling in the spectrum of an electron captured by a stationary finite dipole
Jack Dodd Centre for Quantum Technology, Department of Physics, University of Otago 730 Cumberland St, Dunedin 9016, New Zealand
2 Department of Physics, St. Francis Xavier University - Antigonish, Nova Scotia B2G 2W5, Canada
3 Department of Physics & Astronomy, McMaster University - 1280 Main St. West, Hamilton, Ontario K2H 4C3, Canada
Corresponding author: email@example.com
Accepted: 14 December 2009
We examine the energy spectrum of a charged particle in the presence of a non-rotating finite electric dipole. For any value of the dipole moment p above a certain critical value pc an infinite series of bound states arises of which the energy eigenvalues obey an Efimov-like geometric scaling law with an accumulation point at zero energy. These properties are largely destroyed in a realistic situation when rotations are included. Nevertheless, our analysis of the idealised case is of interest because it may possibly be realised using quantum dots as artificial atoms.
PACS: 31.10.+z – Theory of electronic structure, electronic transitions, and chemical binding / 31.15.ae – Electronic structure and bonding characteristics
© EPLA, 2010
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