- #1

quasar987

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[tex]\lim_{x\rightarrow \infty} \frac{x-1}{e^{ipx/\hbar}}[/tex]

is this equal to

[tex]\lim_{x\rightarrow \infty} \frac{\hbar}{ip e^{ipx/\hbar}}[/tex]

??

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- Thread starter quasar987
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- #1

quasar987

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[tex]\lim_{x\rightarrow \infty} \frac{x-1}{e^{ipx/\hbar}}[/tex]

is this equal to

[tex]\lim_{x\rightarrow \infty} \frac{\hbar}{ip e^{ipx/\hbar}}[/tex]

??

- #2

LeonhardEuler

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[tex]\lim_{x\rightarrow \infty} \frac{x-1}{e^{ipx/\hbar}} =\lim_{x\rightarrow \infty} (x-1)\cos{\frac{ipx}{\hbar}}-i(x-1)\sin{\frac{ipx}{\hbar}[/tex]

So the real and imaginary parts both oscillate between larger and larger positive and negative numbers as x gets larger, so the limit does not exist.

- #3

quasar987

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Dang. I guess I was trying a little too hard to make this QM problem work :tongue2:

- #4

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we have some thing bounded in the denominator

and the numerator goes to infinity

- #5

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I suggest you choose different boundary conditions at infinity for your QM problem.

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