Elliptic Rydberg states as direction indicators

Details Elliptic Rydberg states as direction indicators Elliptic Rydberg states as direction indicators

2003-05-28

arxiv.org/abs/quant-ph/0305171v1

Phys. Rev. A 68, 042308 (2003)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.68.042308

The orientation in space of a Cartesian coordinate system can be indicated by the two vectorial constants of motion of a classical Keplerian orbit: the angular momentum and the Laplace-Runge-Lenz vector. In quantum mechanics, the states of a hydrogen atom that mimic classical elliptic orbits are the coherent states of the SO(4) rotation group.It is known how to produce these states experimentally. They have minimal dispersions of the two conserved vectors and can be used as direction indicators. We compare the fidelity of this transmission method with that of the idealized optimal method.

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