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Is Schr\"{o}dinger's Conjecture for the Hydrogen Atom Coherent States Attainable
classification
⚛️ nucl-th
chao-dynnlin.CD
keywords
statescoherentatomdingerhydrogenschrcannotconjecture
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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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