Hi. I have a question about numbers of basis in quamutum mechanics space.(adsbygoogle = window.adsbygoogle || []).push({});

Hamiltonian of harmonic oscillator is observable and have countably infinite sets |En>s

Together with position or momentum basis identity equation is,

[tex]|state>=\int|x><x|state>dx=\int|p><p|state>dp=\Sigma_n\ |E_n><E_n|state>[/tex]

The same state is expressed as both enumerable and denumerable infinite sets.

Is it OK? Denumerable sets should be interpreted correctle as enumerable or vice versa?

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# Emuberable and Demumerable sets

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