Combescure, M. ; Fayard, C. ; Khare, A. ; Richard, J-M. (2011) Exotic atoms in two dimensions Journal of Physics A: Mathematical and Theoretical, 44 (27). 275302_1-275302_9. ISSN 1751-8113
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Official URL: http://iopscience.iop.org/1751-8121/44/27/275302
Related URL: http://dx.doi.org/10.1088/1751-8113/44/27/275302
Abstract
We study the behavior of energy levels in two dimensions for exotic atoms, i.e. when a long-range attractive potential is supplemented by a short-range interaction, and compare the results with those of the one- and three-dimensional cases. The energy shifts are well reproduced by a scattering length formula δE = A20/ln (a/R), where a is the scattering length in the short-range potential, A20/(2 π) is the square of the wavefunction at the origin in the external potential, and R is related to the derivative with respect to the energy of the solution that is regular at large distances.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 83393 |
| Deposited On: | 21 Feb 2012 07:15 |
| Last Modified: | 19 May 2016 00:15 |
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