Thermal stability of a compressed hydrogen atom at temperatures of 10,000-20,000 K - A Monte Carlo calculation

A new Monte Carlo method based on the calculation of Feynman path integrals is applied to the problem of the hydrogen atom in a cavity. The presence of a Coulomb attraction center gives rise to a nonphysical singularity on the nucleus, whose role requires a special study. It is shown that the contribution of this singularity can be cancelled even at the most 'unfavorable' low temperatures.