Non-relativistic Rate Research Articles

Квантование энергетических уровней в 1D квантовом колодце в случае мгновенных стационарных состояний при нерелятивистском движении стенки и микрочастицы

The paper considers the problem of finding energy levels in the 1D quantum well in case of its width alteration at the nonrelativistic rate. According to the reviewed literature, the exact solution is known only in the case of nonrelativistic motion of the 1D quantum well wall at the constant rate. It is shown that motion with the constant rate is physically unrealizable. Therefore, it is necessary to find at least small areas of the Schrodinger equation solution for a wider range of nonrelativistic alterations in the 1D quantum well width. Analysis results presented in the study show existence of such areas. The found areas correspond to the instantaneous stationary states satisfying the Bohr quantization condition. In this case, the Dirichlet condition is also satisfied on the moving wall. It means that in this case energy of the level with the n number also becomes a function of the k second quantum number, which takes into account dynamic alteration in the 1D quantum well width. Variants were found of the k second quantum number spectrum and of the quantum level spectrum in various cases of the wall continuous motion with zero initial speed and finite acceleration. Within the framework of the analysis used, formulas were obtained to change the difference between energies of the two arbitrary levels. An analysis was made for the boundaries of the wall speed and the 1D quantum well width in considering the nonrelativistic problem. The obtained results and their possible applications are under discussion, including analysis of the problems related to nanotechnology

Multiphoton single ionization of two-electron systems in intense laser fields

Multiphoton single-ionization of a two-electron system (He and He-like ions) in intense circularly polarized laser field is reported in a relativistic field theoretic method. Coulomb-correction factor is introduced to estimate the effect of the Coulomb field of the residual ion on the rate. Antisymmetric wave function is considered both in the initial and in the final state. The spin-specific currents are calculated. Angular asymmetry in current generation is noted with the change in the spin direction of the ionized electron. Coulomb-corrected relativistic-result for total rate is compared with the Coulomb-corrected nonrelativistic KFR rate. At the high-intensity regime nonrelativistic rate overestimates the relativistic rate. Formation of orthopositronium and parapositronium from positronium negative ion by multiphoton ionization is discussed.

Two-photon decay of21S0and23S1states of heliumlike ions

Systematic calculations of two-photon decay rates of metastable $2{}^{1}{S}_{0}$ and $2{}^{3}{S}_{1}$ states are presented for heliumlike ions with nuclear charges in the range $Z=2--100$. These calculations include retardation and are carried out using relativistic configuration-interaction wave functions that account for the Breit interaction. Photon energy distributions and total rates are given. The relativistic $2{}^{1}{S}_{0}$ decay rates agree, to within two standard deviations, with precise measurements for heliumlike Ar, Ni, Br, Kr, and Nb. The calculated $2{}^{1}{S}_{0}$ rates are 30% smaller than the corresponding nonrelativistic rates at high $Z$. The $2{}^{3}{S}_{1}$ two-photon decay rates remain a factor of about ${10}^{\ensuremath{-}4}$ of the corresponding $M1$ rates throughout the helium isoelectronic sequence.

Lifetime of 2s hydrogen atoms in arbitrary magnetic fields

Non-relativistic rates for the decay of 2s hydrogen atoms to the ground state by single-photon and two-photon emission in the presence of a homogeneous magnetic field of arbitrary strength (0 or=4.7*103 T.