hy physics forum, im doing an advanced qm course, but i still have some doubts about the correct formalism and so on..(adsbygoogle = window.adsbygoogle || []).push({});

so i have this problem of a one-dimensional harm. oscillator including 2 bosons.

the hamiltonian would thus be ## \hat{H}=1/2 (\hat{p_1}^2+\hat{p_2}^2+\omega \hat{x_1}^2+\omega \hat{x_2}^2)##

the ground state would be ## |0,0> ## and i have to build first and second excited states.

so my question is, would the first excited state just be ## 1/\sqrt{2} (|1,0> + |0,1>) ## or do i have to consider the pure states ##|1,0>## and ##|0,1>##too? and how would i write that properly with ladder operators?

thanks for your help

kuy

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# 2 boson harmonic oscillator

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