Stochastic ionization of higly excited relativistic hydrogenlike atom in the monochromatic field is considered. A theoretical analisis of chaotic dynamics of the electron based on Chirikov criterion is given. Critical value of the external field is evaluated analitically. ∗e-mail: [email protected]

We examine a hidden symmetry of the hydrogen atom in quantum mechanics using the quantum mechanical analog of the classical Lenz vector and its relation to the generators of the familiar SO(3) rotational group. We use as our tool some basic concepts in algebraic group theory. The result is a mathematical description of a higher-dimension symmetry under the SO(4) group, or the rotational group i...

After the discovery of the electron by J.J. Thomson [1], it was natural to consider that electrons are constituents of atoms, but if electrons in an atom are small electric charges moving in circular orbits, they would emit electromagnetic radiation and the radius of the orbit would quickly collapse to zero. In 1903, Thomson pointed out [3, 4] that a uniform ring of electric charge, rotating ab...

A trajectory in the Schrödinger wave for an electron in an attractive Coulomb potential with the dynamical behavior is proposed and illustrated for a scattering and a bound state. The scattering cross section derived from the trajectories is almost exactly equal to that from the usual wave theory. The statistical nature of the result is examined. The period of one cycle in the bound state is ex...

The long-standing problem of nding coherent states for the (bound state portion of the) hydrogen atom is positively resolved. The states in question: (i) are normalized and parameterized continuously, (ii) admit a resolution of unity with a positive measure, and (iii) enjoy the property that the temporal evolution of any coherent state by the hydrogen atom Hamiltonian remains a coherent state f...

The phonon modes of crystalline benzoic acid have been investigated using terahertz time-domain spectroscopy, rigid molecule atom-atom model potential and plane-wave density functional theory lattice dynamics calculations. The simulation results show good agreement with the measured terahertz spectra and an assignment of the terahertz absorption features of benzoic acid is made with the help of...

Colorless crystals of l-alanine hydrochloride monohydrate, C(3)H(8)NO(2) (+)·Cl(-)·H(2)O, were obtained from a powder sample that had been left standing in a refrigerator for a few years. The structure displays several inter-molecular hydrogen bonds: the hydroxyl O atom is involved in a single hydrogen bond to the chloride anion, while the ammonium group forms one hydrogen bond to the chloride ...

The one dimensional Schrödinger hydrogen atom is an interesting mathematical and physical problem to study bound states, eigenfunctions and quantum degeneracy issues. This 1D physical system gave rise to some intriguing controversy over more than four decades. Presently, still no definite consensus seems to have been reached. We reanalyzed this apparently controversial problem, approaching it f...

This article describes the e ects of relatively strong, periodic perturbations on the classical and quantum dynamics of excited hydrogen atoms and the relation between these two dynamics. By considering a range of driving frequencies it is shown how the relative ratio of this to the unperturbed atomic frequencies a ects the response and the relation between the classical and quantum dynamics. A...