The Hydrogen Atom Fundamental Resonance States
نویسندگان
چکیده
منابع مشابه
Coherent States for the Hydrogen Atom
The long-standing problem of nding coherent states for the (bound state portion of the) hydrogen atom is positively resolved. The states in question: (i) are normalized and parameterized 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 f...
متن کاملCoherent states for the Hydrogen atom
We construct wave packets for the hydrogen atom labelled by the classical action-angle variables with the following properties. i) The time evolution is exactly given by classical evolution of the angle variables. (The angle variable corresponding to the position on the orbit is now non-compact and we do not get exactly the same state after one period. However the gross features do not change. ...
متن کاملAsymptotics of Rydberg States for the Hydrogen Atom
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 spac...
متن کاملComment on ‘‘Coherent states for the hydrogen atom’’
Majumdar and Sharatchandra recently proposed a set of ‘‘coherent states’’ for the hydrogen atom @Phys. Rev. A 56, R3322 ~1997!#. These states satisfy some of the typical properties of coherent states, such as, for example, continuity in the parameters. The time evolution of these states is given by the classical evolution of the angle variables, and the expectation values of the quantum observa...
متن کاملCoherent states for the hydrogen atom : discrete and continuous spectra
We construct the systems of generalised coherent states for the discrete and continuous spectra of the hydrogen atom. These systems are expressed in elementary functions and are invariant under the SO(3, 2) (discrete spectrum) and SO(4, 1) (continuous spectrum) subgroups of the dynamical symmetry group SO(4, 2) of the hydrogen atom. Both systems of coherent states are particular cases of the ke...
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ژورنال
عنوان ژورنال: Journal of Modern Physics
سال: 2018
ISSN: 2153-1196,2153-120X
DOI: 10.4236/jmp.2018.95067