Hydrogen Atom with Spin in External Fields

Hans Albrecht Bethe, E. E. Salpeter

K. V. Usenko

Yea-Hwang Uang, R. F. Ferrante, William C. Stwalley

Hyperfine interaction potential energy curves between two different ground state isotopic hydrogen atoms (H, D, or T) in the presence of an external magnetic field are constructed. It is found that the interaction between two isotopic hydrogen atoms is noncentral if relativistic effects are included. The eigenfunctions are expressed in terms of the basis set consisting of electronic and nuclear quantum numbers ‖ms1, mIa; mS2, mIb≳. Unlike the zero-field case with degenerate potential curves, there are 24 and 16 distinct curves for the systems H–D (or D–T) and H–T, respectively. Sample results are given for a magnetic field of B = 100 000 G, in particular. Interesting features at the true crossings and the avoided crossings between those potential curves will be described. With these accurately calculated potential curves, the accurate study of inelastic spin-exchange scattering between two different spin-polarized atoms (H↑, D↑, or T↑) can now be carried out.

Stanisław Chwirot, S. Łęgowski, J. A. Slevin +1 more

The authors analyse the validity of the approximation of neglecting the 2 2 S 1/2 -2 2 P 3/2 coupling in the description of the fluorescence from the n=2 states of hydrogen atoms decaying in the presence of an external electric field. The results show the inadequacy of such an approach and point to the need for a re-interpretation of some previously reported experimental values of the state multipoles of the collisionally excited n=2 hydrogen atoms.

Е. А. Соловьев

O J Campuzano-Cardona, H. N. Núñez‐Yépez, A. L. Salas‐Brito +1 more

Using the Hamilton vector, a well-known constant of motion of the unperturbed hydrogen atom, and simple classical mechanics, a scalar constant quantity for the hydrogen atom interacting with an external electric field is obtained. This constant quantity Omega is algebraically related to the Hamilton vector. Our purely classical analysis qualitatively reveals some observed properties of the corresponding quantum system.