Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-10-23
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
RevTeX 4.0, 13 pages, 2 tables, 12 figures
Scientific paper
The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to contact interactions between the particles. In two and three dimensions, the approach fails due to the pathology of the Dirac delta-potential, making it impossible to reach convergence by gradually increasing the size of the Hilbert space. However, for practical applications this problem may be cured in a rather simple manner, by renormalizing the STRENGTH of the contact potential, which must be diagonalized in a TRUNCATED Hilbert space. The procedure relies on the comparison of CI energies and wave functions with those obtained by the exact solution of the two-body Schrodinger equation for the regularized contact interaction. The rather simple scheme, while keeping the numerical procedures still elementary, nevertheless provides both cut-off-independent few-body physical observables and an estimate of the error of the CI calculation.
Aberg Sofia
Reimann Stephanie M.
Rontani Massimo
No associations
LandOfFree
Configuration interaction approach to the few-body problem in a two-dimensional harmonic trap with contact interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Configuration interaction approach to the few-body problem in a two-dimensional harmonic trap with contact interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Configuration interaction approach to the few-body problem in a two-dimensional harmonic trap with contact interaction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-681204