Employing the particle in 1-D box can momentum and total energy(P.E + K.E (x)) can be measured simultaneously?

  • $\begingroup$ Welcome to chemistry.SE! If you had any questions about the policies of our community, you can ‎visit the help center or take a ‎‎tour of the website.‎ $\endgroup$ – M.A.R. Feb 3 '15 at 18:20
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    $\begingroup$ @MARamezani The particle in the box is a classical model in quantum chemistry and found in standard textbooks on physical chemistry by Moore & Hummel or Wedler or .... From the point of view of a slightly more experienced chemist, the matter itself is definitely on-topic. Whether this could/should be closed due to the lack of personal effort is another question. $\endgroup$ – Klaus-Dieter Warzecha Feb 3 '15 at 20:03
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    $\begingroup$ My bad then @KlausWarzecha. I just told myself that "momentum", "potential energy", "kinetic energy" are more physics, without further digging into the problem. $\endgroup$ – M.A.R. Feb 3 '15 at 20:08

As this is obviously a homework problem, I'll just give you a hint:

Observables can be measured simultaneously with arbitrarily small uncertainties if their operators commute. Compute the commutator of the momentum and particle-in-a-box Hamiltonian operators; if the commutator is zero, the answer to your question is "yes".


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