Accurate calculation of the bound states of the quantum dipole problem in two dimensions

• Authors: Paolo Amore
• Languages of publication: EN

Abstracts

EN

We present an accurate calculation of the energies of the bound states of the quantumdipole problemin two dimensions using a Rayleigh-Ritz approach. We obtain an upper bound for the energy of the ground state, which is by far the most precise in the literature for this problem. We also obtain an alternative estimate of the fundamental energy of the model performing an extrapolation of the results corresponding to different subspaces. Finally, our calculation of the energies of the first 500 states shows a perfect agreement with the expected asymptotic behavior.

Keywords

EN

Rayleigh-Ritz method; quantum dipole potential

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 1
• Pages: 96-101

Dates

published

1 - 2 - 2012

online

3 - 12 - 2011

Contributors

author

Paolo Amore

• Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, México

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Identifiers

DOI

10.2478/s11534-011-0087-3