- #1
redtree
- 335
- 15
What is the integral for the following equation
(e[tex]^{}ikx[/tex])/x
(e[tex]^{}ikx[/tex])/x
Integral of plane wave equation
- Thread starter redtree
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- Integral Plane Wave Wave equation
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Homework Help Overview
The discussion revolves around the integral of the plane wave equation represented as (e^{ikx})/x, focusing on the variable x and the constant k.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- Participants discuss the formulation of the integral, questioning whether it should be over k or x and the limits involved. There is an exploration of the meaning behind the integral notation and its implications.
Discussion Status
Some participants have expressed their understanding of the integral, while others are still seeking clarification on the notation and the expected outcome. There is a reference to external resources for further information, indicating a direction for exploration.
Contextual Notes
There is a noted assumption regarding the integral notation that may not have been clear to all participants, leading to some confusion in the discussion.
- #2
CompuChip
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Please formulate carefully. Integral over k or x? Between what limits?
- #3
redtree
- 335
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k is a constant. x a variable.
I figured out the answer. It's the imaginary argument of the exponential integral.
I figured out the answer. It's the imaginary argument of the exponential integral.
- #4
CompuChip
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Homework Helper
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Glad you figured it out, I'm still guessing at what you mean 
For I don't see an integral and if I add one, it doesn't evaluate to k x.
For I don't see an integral and if I add one, it doesn't evaluate to k x.
- #5
redtree
- 335
- 15
Sorry Chip, but instead of writing the sign for integral I simply stated that I was looking for the integral. My assumption was that you'd understand what that implied, i.e.,
[tex]\int[/tex](e[tex]^{}ikx[/tex])/x dx
where k is a constant.
The answer is can be found at the following:
http://en.wikipedia.org/wiki/Exponential_integral
under the subheading "Exponential integral of imaginary argument"
Best
[tex]\int[/tex](e[tex]^{}ikx[/tex])/x dx
where k is a constant.
The answer is can be found at the following:
http://en.wikipedia.org/wiki/Exponential_integral
under the subheading "Exponential integral of imaginary argument"
Best
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