RT Journal Article
T1 Non-local separable solutions of two interacting particles in a harmonic trap
A1 González-Santander de la Cruz, Clara
A1 Domínguez-Adame Acosta, Francisco
AB 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.
PB Elsevier
SN 0375-9601
YR 2011
FD 2011-01-17
LK https://hdl.handle.net/20.500.14352/44664
UL https://hdl.handle.net/20.500.14352/44664
LA eng
NO ©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.
NO Ministerio de Ciencia e Innovación (MICINN)
NO Comunidad de Madrid
NO European Social Foundation
DS Docta Complutense
RD 13 abr 2025