I really don't have anything to add to the above discussion, but this question has crossed my mind a lot. Instead of a philosophical answer, shouldn't the answer lie in physics? Obviously I don't know what it is, but if we ever find an answer, wouldn't it be, for instance, an entropy related...
I want to indent everything after the first line, but not the first line itself. So it needs to come out like this:
Physicsforums is a very interesting place
where you can learn a whole lot and
such and so and such and so.
Is this possible?
It does, and I've looked up those books and referenced to them instead where possible. I'm still left with a large chunk of citations to this book and outside of this book there is really not much information to be found about the subject.
I'm currently writing an essay and I'm finding myself using and quoting one particular book a lot. Obviously I'm referencing everything, but would it be a good idea to add something like 'In particular, I will make use of Bart Simpson's excellent book 'The Excellent Book' in my exploration...
Homework Statement
Consider a double delta potential given by V(x) = c_+ \delta (x + \frac{L}{2}) + c_- \delta (x - \frac{L}{2}). The coherence between the amplitude A of an incoming wave from the left and the amplitude F of the outgoing wave to the right is given by:
F = A \cdot...
A double delta potential is given by V(x) = c_+ \delta (x + \frac{L}{2}) + c_- \delta (x - \frac{L}{2}).
Use the discontinuity relation to find the boundary conditions in x = \pm \frac{L}{2} .
The general solutions are:
\psi(x) =
\begin{cases}
Ae^{ikx} + Be^{-ikx} & x < -\frac{L}{2}...
At t = 0 a particle is in the (normalized) state:
\Psi(x, 0) = B \sin(\frac{\pi}{2a}x)\cos(\frac{7\pi}{2a}x)
With B = \sqrt{\frac{2}{a}}. Show that this can be rewritten in the form \Psi(x, 0) = c \psi_3(x) + d \psi_4(x)
We can rewrite this to:
\Psi(x, 0) = \frac{B}{2}\left[ c...
Consider N >> 1 particles that can either be in groundstate \epsilon_0 or excited state \epsilon_1 and are thermally isolated, so the internal energy is fixed at U = (N - n) \epsilon_0 + n \epsilon_1. We want to calculate the temperature of this system.
This is how I attempt it: First...
Homework Statement
See attached image.
The Attempt at a Solution
I get a different solution: First multiply by \sqrt{2}, then {1 \choose -1} = {c + d \choose ci - di}. So we get c + d = 1 and so (1 - d)i - di = -1. Solving the last one gives 2di = 1 + i, so d = \frac{1 + i}{2i} =...