Asymptotics of Rydberg States for the Hydrogen Atom
نویسنده
چکیده
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 con guration space, are highly concentrated on classical momentum space or con guration space Kepler orbits respectively, for large quantum numbers. Expectations of momentum space or con guration space functions with respect to these states are related to time-averages of these functions over Kepler orbits. 1 Section
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