Hello everyone,
I am currently trying to understand how we can use feynman diagrams to estimate the matrix element of a process to be used in fermi's golden rule so that we can estimate decay rates. I am trying to learn by going through solved examples, but I am struggling to follow the logic...
"All Reversible Heat Engines have same efficiency when operating between the same two temperature reservoirs."
See: http://aether.lbl.gov/www/classes/p10/heat-engine.html
Homework Statement
I have a question regarding heat engines that cropped up whilst I was doing a practice question. I will summarise the results I obtained for the previous parts of the question so as to save your time. The highlighted parts of the image are where I am having some issues.
I...
Homework Statement
I am having problems with the second part of the question - proving that the relationship given is true.
Homework Equations
See question.
The Attempt at a Solution
Firstly, consider a single pair of transmission lines with characteristic impedances ##Z_{1}## and ##Z_{2}##...
Considering how Heisenberg's uncertainty principle is applied to a top-hat wave function:
This hyperphysics page shows how you can go about estimating the minimum kinetic energy of a particle in a 1,2,3-D box: http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/uncer2.html
You can also...
I was following this derivation of the solution to the Laplacian in spherical polars. I was wondering where the two equations ##\lambda_{1} + \lambda_{2} = -1## and ##\lambda_{1}\lambda_{2} = -\lambda## come from? Thanks.
Thank you for this - it's a nice thought. Is there any way you could apply this mode of thinking to the situation where ##\psi = R(r)Y(\theta, \phi) = R(r)cos(\theta)## say?
Suppose we have an electron in a hydrogen atom that satisfies the time-independent Schrodinger equation:
$$-\frac{\hbar ^{2}}{2m}\nabla ^{2}\psi - \frac{e^{2}}{4\pi \epsilon_{0}r}\psi = E\psi$$
How can it be that the Hamiltonian is spherically-symmetric when the energy eigenstate isn't? I was...
If I have a system where the following is found to describe the motion of three particles:
The normal modes of the system are given by the following eigenvectors: $$(1,0,-1), (1,1,1), (1,-2,1)$$
How can I find the corresponding eigenfrequencies? It should be simple... What am I missing?
Please could you give me a clue as to what integral I would have to do? I'm struggling to see how I am meant to take account of the tapering in an integral amperean loop...?