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

• Autorzy: Paolo Amore
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

Rayleigh-Ritz method; quantum dipole potential

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 1
• Strony: 96-101

Daty

wydano

2012-02-01

online

2011-12-03

Twórcy

autor

Paolo Amore

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

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-011-0087-3