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Russian Physics Journal

Wave function of an electron in a magnetic field in the rotator approximation

B. V. Kholomai

Published Jan 1, 1977• 0 citations
Publisher
DOI
10.1007/bf00891417

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Wave functions, energies, and binding energies for the lowest singlet states of ${\mathrm{H}}^{\ensuremath{-}}$ and He in uniform magnetic fields B<109B<{10}^{9}B<109 G are calculated using an adiabatic approximation in hyperspherical coordinates. In computing the angular part of the wave functions, a coupled expansion in one-electron oblate spheroidal angle functions is used. In addition to contracting the two-electron wave function radially, the magnetic field is found to distort the angular part of the wave function mainly by reducing the ss1S\mathrm{ss}^{1}Sss1S character of the state and replacing it with an sd1D\mathrm{sd}^{1}Dsd1D character. Results for energies and binding energies are comparable with those obtained in variational calculations. In order to compute the binding energies of ${\mathrm{H}}^{\ensuremath{-}}$ and He we have also calculated the binding energies of the ground states of H and He+{\mathrm{He}}^{+}He+ in uniform magnetic fields B<109B<{10}^{9}B<109 G using the adiabatic oblate-spheroidal-coordinate method of Starace and Webster.