By Anatoli V. Andreev

** Atomic Spectroscopy **provides a complete dialogue at the common method of the speculation of atomic spectra, in response to using the Lagrangian canonical formalism. This process is built and utilized to provide an explanation for the hydrogenic hyperfine constitution linked to the nucleus movement, its finite mass, and spin. The non-relativistic or relativistic, spin or spin-free particle approximations can be utilized as a kick off point of normal method. The specified realization is paid to the idea of Lamb shift formation. The formulae for hydrogenic spectrum together with the account of Lamb shift are written in uncomplicated analytical shape. The booklet is of curiosity to experts, graduate and postgraduate scholars, who're concerned into the experimental and theoretical study within the box of contemporary atomic spectroscopy.

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**Atomic Spectroscopy: Introduction to the Theory of Hyperfine Structure**

Atomic Spectroscopy presents a complete dialogue at the normal method of the idea of atomic spectra, in accordance with using the Lagrangian canonical formalism. This process is constructed and utilized to give an explanation for the hydrogenic hyperfine constitution linked to the nucleus movement, its finite mass, and spin.

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**Additional info for Atomic Spectroscopy: Introduction to the Theory of Hyperfine Structure**

**Example text**

In the processes of absorption or emission of photons by an atom, the conservation laws hold for whole isolated system, therefore the motion of electron in the process of photon absorption or emission is always accompanied by the motion of nucleus. Therefore if we would like to increase the accuracy of calculated energy spectra for hydrogenlike atom we should take into account the motion of the atomic nucleus. The account for the finite nucleus mass provides the simplest hydrogen atom model. The further development of this model will be given in the next chapters.

1 Hamiltonian of two-particle problem The Hamiltonian of system consisting of two charged particles with the Coulomb interaction is where q, and qb are the charges of particles. 44) does not commute with momentum operators for each 35 Hydrogen atom individual particle, but it commutes with the total momentum operator It means that the variation in the electron momentum of free atom is always accompanied by the variation in the nucleus momentum. However, the coordinate of the atomic center of mass does not vary, because the total momentum is an integral of motion.

However, the coordinate of the atomic center of mass does not vary, because the total momentum is an integral of motion. 44). By taking into account that the angular momentum operators 1, and lb commute with each other and both of them commute with the Laplace operators Aa,b we get for the total angular momentum operator Thus the total angular momentum operator L is the integral of motion, while the angular momenta of the individual particles are not conserved. 47) we get + hL = [rp] [RP], where Thus the total angular momentum L is the sum of the angular momentum of center of mass and angular momentum of the relative motion of particles.