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Optics and Spectroscopy

Effect of hyperfine interaction on radiative transitions and the polarizability of the hydrogen atom

A. S. Elkhovskii, Iosif B. Khriplovich

Published Oct 1, 1985• 0 citations
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The dynamical tensor polarizability in the ground state of hydrogen is calculated. It arises in the third order of perturbation theory with respect to operators of hyperfine and electric dipole interaction. The obtained analytical expression is a sum of linear and squared combinations of Gauss hypergeometric functions 2 F 1 . It is pointed out that the double refraction effect can be observed in polarized atomic hydrogen.

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Atomic properties

C. J. Pethick, H. Smith

Atomic properties of the alkali atoms play a key role in experiments on cold atomic gases, and we shall discuss them briefly in the present chapter. Basic atomic structure is the subject of Sec. 3.1. Two effects exploited to trap and cool atoms are the influence of a magnetic field on atomic energy levels, and the response of an atom to radiation. In Sec. 3.2 we describe the combined influence of the hyperfine interaction and the Zeeman effect on the energy levels of an atom, and in Sec. 3.3 we review the calculation of the atomic polarizability. In Sec. 3.4 we summarize and compare some energy scales. Atomic structure The total spin of a Bose particle must be an integer, and therefore a boson made up of fermions must contain an even number of them. Neutral atoms contain equal numbers of electrons and protons, and therefore the statistics that an atom obeys is determined solely by the number of neutrons N: if N is even, the atom is a boson, and if it is odd, a fermion. Since the alkalis have odd atomic number Z, boson alkali atoms have odd mass numbers A. In Table 3.1 we list N, Z, and the nuclear spin quantum number I for some alkali atoms and hydrogen.

Cambridge University Press eBooks•Nov 29, 2001•1 citation

The effect of hyperfine level structure on the process of light scattering by polarized atoms

M. Ya. Agre, Л. П. Рапопорт

Optics and Spectroscopy•Mar 1, 1994•0 citations
Atomic properties of the alkali atoms play a key role in experiments on cold atomic gases, and we shall discuss them briefly in the present chapter. Basic atomic structure is the subject of Sec. 3.1. Two effects exploited to trap and cool atoms are the influence of a magnetic field on atomic energy levels, and the response of an atom to radiation. In Sec. 3.2 we describe the combined influence of the hyperfine interaction and the Zeeman effect on the energy levels of an atom, and in Sec. 3.3 we review the calculation of the atomic polarizability. In Sec. 3.4 we summarize and compare some energy scales. Atomic structure The total spin of a Bose particle must be an integer, and therefore a boson made up of fermions must contain an even number of them. Neutral atoms contain equal numbers of electrons and protons, and therefore the statistics that an atom obeys is determined solely by the number of neutrons N: if N is even, the atom is a boson, and if it is odd, a fermion. Since the alkalis have odd atomic number Z, boson alkali atoms have odd mass numbers A. In Table 3.1 we list N, Z, and the nuclear spin quantum number I for some alkali atoms and hydrogen.