TY - JOUR
T1 - Scaled variational computation of the energy spectrum of a two-dimensional hydrogenic donor in a magnetic field of arbitrary strength
AU - Pino, R.
AU - Villalba, V. M.
PY - 1999/2
Y1 - 1999/2
N2 - We compute the energy levels of a 2D hydrogen atom when a constant magnetic field is applied. With the help of a mixed-basis variational method and a generalization of virial theorem, which consists in scaling the wave function, we calculate the binding energies of the 1S, 2P- and 3D- levels. We compare the computed energy spectra with those obtained via a generalization of the mesh point technique as well as the shifted 1/N method. We show that the variational solutions present a very good behavior in the weak and strong magnetic field regimes.
AB - We compute the energy levels of a 2D hydrogen atom when a constant magnetic field is applied. With the help of a mixed-basis variational method and a generalization of virial theorem, which consists in scaling the wave function, we calculate the binding energies of the 1S, 2P- and 3D- levels. We compare the computed energy spectra with those obtained via a generalization of the mesh point technique as well as the shifted 1/N method. We show that the variational solutions present a very good behavior in the weak and strong magnetic field regimes.
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U2 - 10.1002/(SICI)1521-3951(199902)211:2<641::AID-PSSB641>3.0.CO;2-Y
DO - 10.1002/(SICI)1521-3951(199902)211:2<641::AID-PSSB641>3.0.CO;2-Y
M3 - Article
AN - SCOPUS:0033077090
SN - 0370-1972
VL - 211
SP - 641
EP - 649
JO - Physica Status Solidi (B) Basic Research
JF - Physica Status Solidi (B) Basic Research
IS - 2
ER -