Homework Statement
I am given the Rashba Hamiltonian which describes a 2D electron gas interacting with a perpendicular electric field, of the form
$$H = \frac{p^2}{2m^2} + \frac{\alpha}{\hbar}\left(p_x \sigma_y - p_y \sigma_x\right)$$
I am asked to find the energy eigenvalues and...
I'm trying to understand why
$$\left(\frac{\partial P}{\partial T}\right)_V = -\left(\frac{\partial P}{\partial V}\right)_T \left(\frac{\partial V}{\partial T}\right)_P$$
where does the minus sign come from?
Hi there, I'm currently working on a relatively simple code to do some lattice simulations. I have access to a computing cluster at school and have been learning how to use OpenMP to parallelize my code (each node has 16 cores). I'm currently not planning to use MPI.
My main question is...
O. Firstenberg et al., "Attractive photons in a quantum nonlinear medium" Nature (2013) doi:10.1038/nature12512. http://www.nature.com/nature/journal/vaop/ncurrent/full/nature12512.html
Abstract: The fundamental properties of light derive from its constituent particles—massless quanta...
I believe they use a triangulation method to compute the cell volumes. There was also mention of a special volume form defined for the amplituhedron to make calculuations easier. In the talk he says that he was able to compute the scattering amplitude for the diagram included in your post with...
Thanks a bunch, that's what I've read as well. I'm writing my undergrad thesis on the ADM formulation of GR and using it as a basis of a theory of Quantum Gravity, and this seems to be a major limitation for any QG theory built from the Hamiltonian formulation. I'll take it up with my advisor
Here's two papers by Arkani-Hamed about the positive grassmanian. They're beyond me, but maybe someone else will understand
Scattering Amplitudes and the Positive Grassmannian
Local Spacetime Physics from the Grassmannian
This has bothered me for some time. In the ADM formulation, we foliate spacetime into 3+1 dimensions by creating 3 dimensional hypersurfaces via ##T = constant## along the worldline of some observer whose proper time is ##T##. This allows us to write dynamical equations for the evolution of some...
The actual object itself would prepresent every possible particle interaction, and is infinite dimensional. The hand-drawn geometric object with the subtitle "8-gluon particle interaction" is actually only one face of a 4-dimensional object which fully describes the 8-gluon interaction. The 3-D...
You can watch Arkani Hamed give a talk at the SUSY 2013 conference about the Ampllituhedron and how their research led them to its discovery here. It's pretty involved as far as having an in-depth understanding of particle physics and QFT, but it's engaging regardless.
It's a pretty fantastic...