# Coherent states for the hydrogen atom

@article{Klauder1996CoherentSF, title={Coherent states for the hydrogen atom}, author={John Klauder}, journal={Journal of Physics A}, year={1996}, volume={29} }

The long-standing problem of finding coherent states for the (bound state portion of the) hydrogen atom is positively resolved. The states in question (i) are normalized and parametrized continuously, (ii) admit a resolution of unity with a positive measure, and (iii) enjoy the property that the temporal evolution of any coherent state by the hydrogen atom Hamiltonian remains a coherent state for all time.

#### 76 Citations

Coherent states for the hydrogen atom

- Physics
- 2000

We construct a system of coherent states for the hydrogen atom that is expressed in terms of elementary functions. Unlike the previous attempts in this direction, this system possesses properties… Expand

Coherent states for a degenerate system: The hydrogen atom

- Physics
- 2006

Abstract We construct a simple time stable two-parametric coherent states (CS) for the hydrogen atom, which is a system that presents degenerate levels. Analyzing the position variance for these CS,… Expand

Coherent states for the hydrogen atom: discrete and continuous spectra

- Mathematics, Physics
- 2001

We construct the systems of generalized coherent states for the discrete and continuous spectra of the hydrogen atom. These systems are expressed in elementary functions and are invariant under the… Expand

Radial coherent states for Dirac hydrogen-like atom

- Physics
- 2002

In this paper we use an su(2) representation of the radial eigenfunction of the Dirac hydrogen-like atom and we build the Glauber coherent states and the displacement operator coherent states. We… Expand

Dispersion of Klauder's temporally stable coherent states for the hydrogen atom

- Physics
- 1998

We study the dispersion of the `temporally stable' coherent states for the hydrogen atom introduced by Klauder. These are states which under temporal evolution by the hydrogen atom Hamiltonian retain… Expand

Radial coherent states—From the harmonic oscillator to the hydrogen atom

- Physics
- 2005

We construct spectrum generating algebras of SO(2, 1) ∼ SU(1, 1) in arbitrary dimension for the isotropic harmonic oscillator and the Sturm-Coulomb problem in radial coordinates. Using these… Expand

Dynamical Symmetries and Well-Localized Hydrogenic Wave Packets

- Physics
- 2004

A new method for constructing of composite coherent states of the hydrogen atom, based on the dynamical group approach and various schemes of reduction to subgroups, is presented. A wide class of… Expand

Asymptotics of Rydberg States for the Hydrogen Atom

- Physics
- 1997

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… Expand

Klauder's coherent states for the radial Coulomb problem in a uniformly curved space and their flat-space limits

- Physics
- 2005

First a set of coherent states a la Klauder is formally constructed for the Coulomb problem in a curved space of constant positive curvature. Then the flat-space limit is taken to reduce the set for… Expand

LETTER TO THE EDITOR: A phase in a coherent-state wavefunction - is it always irrelevant?

- Physics, Mathematics
- 1998

When the time evolution of the coherent-state wavefunction is considered and the properties of the coherent states are exploited, one should take into account the properly defined phase factor. After… Expand

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