- #1
Jimmy Snyder
- 1,127
- 20
[SOLVED] Zwiebach eqn (17.44) page 395
Equation (17.44) is:
[tex]e^{-i\ell x_0/R}pe^{i\ell x_0/R} = p + \frac{\ell}{R}[/tex]
Equation (17.43)
[tex]\ell \in \mathbb{Z}[/tex]
Equation (17.44) is easy to derive if [itex]\frac{\ell}{R}[/itex] is small. but since [itex]\ell[/itex] can be any integer, there doesn't seem to be any way to insure that. Did the author simply forget to mention some conditions necessary for it to be true?
Homework Statement
Equation (17.44) is:
[tex]e^{-i\ell x_0/R}pe^{i\ell x_0/R} = p + \frac{\ell}{R}[/tex]
Homework Equations
Equation (17.43)
[tex]\ell \in \mathbb{Z}[/tex]
The Attempt at a Solution
Equation (17.44) is easy to derive if [itex]\frac{\ell}{R}[/itex] is small. but since [itex]\ell[/itex] can be any integer, there doesn't seem to be any way to insure that. Did the author simply forget to mention some conditions necessary for it to be true?