Место издания:Nova Science Publishers, Inc Hauppauge, NY,United States
Первая страница:73
Последняя страница:114
Аннотация:The effect of spontaneous breaking of initial SO(3) symmetry is shown to be possible for an H-like atom in the ground state, when it is confined in a spherical box under general boundary conditions of “not going out” through the box surface (i.e., third kind, or Robin’s ones), for a wide range of physically reasonable values of system parameters. The reason is that such boundary conditions could yield a large magnitude of electronic wavefunction in some sector of the box boundary. In turn,
this effect gives rise to atomic displacement from the box center towards this part of the boundary, and so the underlying SO(3) symmetry spontaneously breaks. The most nontrivial result here is that such an effect takes place not only for attractive, but for repulsive interaction of an active
electron with the cavity environment too. Thereafter, the emerging Goldstone modes, coinciding with rotations around the box center, restore the symmetry by spreading the atom over a spherical shell, localized at some distances from the box center. Atomic confinement inside the cavity proceeds dynamically — due to the boundary condition the deformation of electronic wavefunction near the boundary works as a spring, that returns the atomic nucleus back into the box volume. The recoil effects, caused by nucleus back-reaction on the electronic wavefunction’s deformation
near the boundary, are discussed too.