Quantum Mechanics Proof Homework Help

  • Thread starter SlushmanIU
  • Start date
  • #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!
 

Answers and Replies

  • #2
BvU
Science Advisor
Homework Helper
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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. Homework Statement

2. Homework Equations

3. The Attempt at a Solution

When I fill in the propposed solution, I get .....
 
  • #3
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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..
 
  • #4
BvU
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Homework Helper
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Slushman still there ?
 

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