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Homework Help: Momentum Operator and Wavefunction problem

  1. Nov 24, 2004 #1
    Okay this should be fairly easy, not really sure why it's not working for me.

    Suppose a particle moving along the x-axis is in a state with a wavefunction psi=cos(ax). Determine whether (i) the linear momentum and the (ii) kinetic energy of the particle has a single well-define value. If so what is it?

    The operator we are given is P(sub)x=(h/(2πi))d/dx. I know to set it up using the Hpsi= Epsi. What I don't know is what to use for E. Classically, we have used just T + V and I know that T=(P(sub)x)^2/(2m) . But what about V? Can I leave it out? Is it not important?

    Once, I get that, I can find out if it has a sharp observable for both of those.

    Any help is greatly appreciated. Thanks in advance.

  2. jcsd
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