English

Is Schr\"{o}dinger's Conjecture for the Hydrogen Atom Coherent States Attainable

Nuclear Theory 2009-10-22 v1 chao-dyn Chaotic Dynamics

Abstract

We construct the most general SO(4,2) hydrogen atom coherent states which are the counterpart of Schr\"{o}dinger's harmonic oscillator coherent states. We show that these states cannot be localized and cannot follow the classical orbits. Thus, Schr\"{o}dinger's conjecture for the hydrogen atom coherent states is unattainable.

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Cite

@article{arxiv.nucl-th/9311006,
  title  = {Is Schr\"{o}dinger's Conjecture for the Hydrogen Atom Coherent States Attainable},
  author = {Ivaylo Zlatev and Wei-Min Zhang and Da Hsuan Feng},
  journal= {arXiv preprint arXiv:nucl-th/9311006},
  year   = {2009}
}

Comments

10 pages, report #