Non-local separable solutions of two interacting particles in a harmonic trap

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González-Santander de la Cruz, Clara and Domínguez-Adame Acosta, Francisco (2011) Non-local separable solutions of two interacting particles in a harmonic trap. Physics letters A, 375 (3). pp. 314-317. ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/j.physleta.2010.12.013




Abstract

We calculate the energy levels of two particles trapped in a harmonic potential. The actual two-body potential, assumed to be spherically symmetric, is replaced by a projective operator (non-local separable potential) to determine the energy levels in a closed form. This approach overcomes the limitations of the regularized Fermi pseudopotential when the characteristic length of the two-body interaction potential is of the order of the size of the harmonic trap. In addition, we recover the results obtained with the Fermi pseudopotential when the length of the interaction is much smaller than the size of the trap.


Item Type:Article
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©2010 Elsevier B.V. All rights reserved.
The authors thank J. M. R. Parrondo for discussions. This work was supported by MICINN (projects Mosaico and MAT2010-17180). C. G.-S. acknowledges financial support from Comunidad de Madrid and European Social Foundation.

Uncontrolled Keywords:Models; Lattice; State
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:31077
Deposited On:25 Jun 2015 17:41
Last Modified:03 Nov 2021 18:15

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