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Quantum Mechanics Proof Homework Help

  1. Jan 19, 2015 #1
    I was asked to prove that any function u(z,t)=f(z-vt) is a solution of the wave equation



    ∂2u/ dt2= v2 · ∂2u/dz2

    I know that v is constant and z and t are independent. I've tried looking at Lorentz law but I am getting nowhere fast. Please help!
     
  2. jcsd
  3. Jan 19, 2015 #2

    BvU

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    Hello Slushman, and welcome to the wonderful world of PF :)

    We don't have many rules (just a bunch of well-meant guidelines, which please read). They do require (so you could construe that as a rule) some effort on your part in the sense that you show your attempt at solution. They also want you (so you could construe that as a rule as well -- but it's all well meant!) to use the template, which happened to disappear as if by magic from your post. Pity, I could have helped immediately, instead of tomorrow morning (it's late here, but perhaps others ...)

    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution

    When I fill in the propposed solution, I get .....
     
  4. Jan 21, 2015 #3
    Hi. This is pure mathematics so Lorentz has nothing to do with your proof:
    How do you take the partial time-derivative of f(z-vt)? That is: f[z(t) -vt]?
    Look up a calculus book if that's unfamiliar..
     
  5. Jan 21, 2015 #4

    BvU

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    Slushman still there ?
     
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