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Journal of Physics A: Mathematical and Theoretical 44 (2011) 275302
Exotic atoms in two dimensions
M. Combescure1, C. Fayard1, A. Khare, J.-M. Richard1

We study the behaviour 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 these of the one- and three-dimensional cases. The energy shifts are well reproduces by a Trueman--Deser-like formula delta(E)= A/Log(a/R), where a is the scattering length in the short-range is potential and A the square of the wave function at the origin in the external short-range potential. The interpretation of R is more delicate, as is every formulation of a pseudo-potential in two dimensions.
1 :  IPNL - Institut de Physique Nucléaire de Lyon
Physique/Matière Condensée/Mécanique statistique

Physique/Physique Nucléaire Théorique

Physique/Physique/Physique Atomique
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