Asymptotics of Rydberg States for the Hydrogen Atom |
| |
Authors: | Lawrence E Thomas Carlos Villegas-Blas |
| |
Institution: | Department of Mathematics, University of Virginia, Charlottesville, VA 22903, USA.?E-mail: let@virginia.edu, US Universidad Nacional Autonoma de Mexico, Instituto de Matematicas, Unidad Cuernavaca, A. P. 273-3 Admon. 3, Cuernavaca Morelos 62251, Mexico. E-mail: villegas@math.unam.mx, MX
|
| |
Abstract: | The asymptotics of Rydberg states, i.e., highly excited bound states of the hydrogen atom Hamiltonian, and various expectations
involving these states are investigated. We show that suitable linear combinations of these states, appropriately rescaled
and regarded as functions either in momentum space or configuration space, are highly concentrated on classical momentum space
or configuration space Kepler orbits respectively, for large quantum numbers. Expectations of momentum space or configuration
space functions with respect to these states are related to time-averages of these functions over Kepler orbits.
Received: 8 November 1996 / Accepted: 13 January 1997 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|