63 research outputs found
Periodic systems in time: double-well potential
Time analysis of oscillations of a particle between wells in the
one-dimensional double-well potential with infinite high outside walls, based
on wave packet use and energy spectrum analysis, is presented. For the
double-well potential of the form in the external regions, an
exact analytical solution of the energy spectrum is found (by standard QM
approach), an analysis of oscillation periodicity is fulfilled, an approach for
exact analitical calculation of the oscillation period is proposed (for the
first time for the double-well potential).Comment: 11 pages, no figures. LaTeX 2e, class `elsart' (Elsevier Science) is
used. Reference correctio
Angular bremsstrahlung during -decay, emission from the internal region and unified formula of the bremsstrahlung probability
Model of angular bremsstrahlung of photons emitted during -decay is
presented. A special emphasis is given on development of unified formalism of
matrix elements in the dipole and multipolar approaches. A probability of the
emission of photons calculated on the basis of the multipole model without any
normalization on experimental data (i. e. in absolute scale) is found at
of the angle between directions of
motion of the -particle (with its tunneling under barrier) and emission
of photons to be in a good agreement with the newest experimental data for the
, , and nuclei. The spectrum
for is found at to be
in satisfactory agreement with high limit of errors of experimental data of
Japanese group. A comparative analysis for the spectra calculated for
by the multipole and dipole approaches in the absolute scale
and with normalization on experimental data is performed. The emission of
photons from the internal well in the dipole approach is found to be not small
while the multipolar approach does not show such a strong dependence.
Distribution of the bremsstrahlung probability on the numbers of protons and
nucleons of the -decaying nucleus in selected region close to
is obtained. An unified formula of the bremsstrahlung
probability during the -decay of arbitrary nucleus expressed directly
through the -value and numbers , of nucleons and
protons of this nucleus is proposed.Comment: 23 pages, 9 figures, 2 tabl
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