By Anatoli V. Andreev
Atomic Spectroscopy provides a complete dialogue at the basic method of the idea of atomic spectra, according to 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. The non-relativistic or relativistic, spin or spin-free particle approximations can be utilized as a kick off point of normal process. The specific consciousness is paid to the speculation of Lamb shift formation. The formulae for hydrogenic spectrum together with the account of Lamb shift are written in basic 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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Additional resources for Atomic Spectroscopy: Introduction to the Theory of Hyperfine Structure
The further development of this model will be given in the next chapters. Here, we start with the study of the influence of the finiteness of the nucleus mass on the energy spectra of hydrogenlike atoms. 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.
If we shall use the Lorentz gauge -I " + div A at =0 then the electromagnetic field equations become It should be noted that, in the frames of the probability interpretation of the wave function, the particle is the point particle and the particle wave field is the field of amplitude of probability for particle to be at given point in space at given moment of time. 10) are the potentials that are produced by the external particles. 11). The electromagnetic field produced by a particle exists in the area outside of the particle localization point.
It can be easily shown that the ground state of the hydrogenlike atom is always the s state. 29) to the form It is seen that the last equation coincides with the Schrodinger equation for particle moving in the one-dimensional potential well of the form The second term in the right-hand-side of this equation is the energy of centrifugal motion. This energy is definitely positive at 1 > 0. Hence, the energy of fundamental states at I > 0 is always higher than the energy of the s state. It can also be stated that the energy of the fundamental state for a given 1 increases with the increase of 1.
Atomic Spectroscopy: Introduction to the Theory of Hyperfine Structure by Anatoli V. Andreev