Is it possible to solve the next transcendental equation analytically (obviously for k):
sinh(k)=(b/2)(1+(e^(-2kl)))
making the assumption that (bl >>1). I think that is not possible, but in an article that i found,
they solve it by making that assumption, and they reach to the solution...
Homework Statement
This is a basic conceptual question that i encountered when i was reading the section on Entropy on the book by K. Huang on statistical mechanics, it goes like this. In a reversible isothermal expansion of an ideal gas, i know that the change in internal energy is zero...
Homework Statement
Hello everyone i have a problem in visualizing why a a change of variable happens. To evaluate a volume integral. I hope that someone could give me a hint of the reasoning that makes you think in that specific change of variable.
Homework Equations
See the attachment for...
Homework Statement
I'm kind of confused with the total differential, because when i integrate it i get a contradiction, so i wonder if anyone could tell me what I'm doing wrong, please see the attachment to see my problem.
First, thanks for replying. Well the main question here is why the next happens:
[tex]\frac{1}{mw}\frac{d^2\psi}{dx^2}=\frac{d^2\psi}{d\xi^2}[\tex]
Because if you take the second derivative of xi, you get this:
[tex]\frac{d\xi}{dx}=\sqrt{\frac{m \omega}{\hbar}}[\tex]...
Homework Statement
I wonder if someone could help me to arrive at equation 2.56 by performing the substitutions. Please see the attachment
Homework Equations
Please see the attachment for this part. and also for the attempt of a solution.
Homework Statement
I wonder if anyone could explain me how to arrive at the equation (1.24). I have attached the part of the book where this appears.
Homework Equations
I have attached the part of the book where this appears.
The Attempt at a Solution
I have tried to make the...
Homework Statement
we have this diagram were it says that the change in the unit vector der equals in magnitude the change in the angle betwen the two unit vectors er. Could someone explain me why is this?
I include the diagram named Polar coordinates.