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Re: Complex Conjugate of a Function
From: |
Thomas Markovich |
Subject: |
Re: Complex Conjugate of a Function |
Date: |
Wed, 8 Oct 2008 23:36:10 -0500 |
Ok,
So heres what I have found that works. The complex conjugate of e^ix
is the same as taking the complex conjugate of the answer from that
function. So, what I need to do is generate a vector from the function
b(x) which is defined as:
((-.0017813.*exp(-4*i*x) + -.022768.*exp(-3*i*x) + -.
060292.*exp(-2*i*x) + -.59101.*exp(-x) + .54138.*exp(0) + -.
59101.*exp(x) + -.060292.*exp(2*i*x) + -.022768.*exp(3*i*x) + -.
0017813.*exp(4*i*x)) + (.0031691.*exp(-4*i*x) + .030436.*exp(-3*i*x)
+ .12741.*(exp(-2*i*x)) + .69486.*exp(-x*i) + 0.*exp(0) + -.
69486.*exp(x*i) + -.12741.*exp(2*i*x) + -.030436.*exp(3*i*x) + -.
0031691.*exp(4*i*x)))/(2*sqrt(pi))
and I have found that conj(some vector) ends up being defined. I have
also discovered that I can just do, assuming that k is my vector
generated from b(x):
conj(k) .* diff(k) - k .* diff(conj(k))
And this should give me the probability current. Anyways, what I am
struggling with now is, how do I define b(x) with x being [-2*pi: .
01 : 2*pi] (-2*pi < x < 2*pi) to get into a vector k. What I have now
is k = [b(x)]; but have tried everything I can think of.
Anyways, thank you for your help thus far. Also, if there is anything
in my thought process thus far that is ludricous or just doesn't make
sense; please don't hesitate to correct me.
Regards,
Thomas Markovich
Undergraduate Research Assistant
University of Houston
On Oct 8, 2008, at 3:24 PM, Thomas Markovich wrote:
Hi,
I am using octave and I am trying to find the probability current of
of a set of wave functions. To do this though, I get
(¥*) d/dx(¥) - ¥(d/dx(¥*))
I have tried to use both functions, conj and ' to find the conjugate
but octave gives me the following error.
octave-3.0.2:59> conj(b(x))
ans =
Columns 1 through 6:
0.792789 - 0.000000i 0.521003 - 0.044985i 0.361599 -
0.061587i 0.263736 - 0.026430i 0.163356 + 0.047835i 0.013050 +
0.086010i
Columns 7 through 12:
-0.173588 + 0.028121i -0.377793 - 0.064103i -0.673954 -
0.079818i -1.212822 - 0.014479i -2.150759 + 0.048640i -3.688296 +
0.059676i
Column 13:
-6.190114 + 0.027294i
error: conj: argument undefined
Any help would would be much appreciated.
Thomas Markovich
Undergraduate Research Assistant
University of Houston