Compressed one-dimensional ‘‘hydrogen atom’’

L. Stupelis

M. Andrews

See also related One‐dimensional hydrogen atom commentary Reply to ''Comment on the 'One‐dimensional hydrogen atom' ''

Shu Hotta

A. I. Safonov, Sergey A. Vasilyev, Igor Stanislavovich Yasnikov +2 more

We have performed magnetic compression experiments with the two-dimensional gas of hydrogen atoms on liquid ${}^{4}\mathrm{He}$ at $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}120--200\mathrm{mK}$. For 2D phase-space densities higher than 3, the probability of three-body dipole recombination is observed to decrease gradually by an order of magnitude in comparison to its low-density value ${K}_{\mathrm{bbb}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}8.4(3.5)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}25}{\mathrm{cm}}^{4}{\mathrm{s}}^{\ensuremath{-}1}$. This is attributed to local coherence developing in a 2D quasicondensate. We have also determined the value $U/k\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}5.1(5)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}15}\mathrm{K}{\mathrm{cm}}^{2}$ for the mean-field energy of the gas.

Igor Gonda, B. F. Gray

A systematic perturbation method to calculate the explicit dependence of energy on the position of the repulsive barrier (or barriers) in one-dimensional non-degenerate systems is presented. The method is also capable of dealing with anisotropic shifts of the boundaries. Two simple applications illustrate the general principles (particle in a box and compression of the ground state of the hydrogen atom).