I'm working on a personal math project and I'm running into this system of differential equations.
I have seen references which state the solutions are in terms of Hermite modular elliptic functions, but I do not know what those functions are. All of the references I can find on this equation...
When a conformal block has dimensions and spin that violates its unitary bounds, does that make the block equal to zero? I'm asking because I'm trying to calculate 3D conformal blocks via a recursion relation and get blocks in the relation that violate unitary bounds.
Thanks!
I'm reviewing differential forms again and I believe there is an error in Vladimir Arnold's Mathematical Methods of Classical Mechanics. On page 176 of the hardcover edition of it, in chapter 7, on the section of differential forms, problem 4 he says that dr^2(r^2=x^2+y^2) acting on the 2nd...
I can see that, a lot of applications for semiconductors and a lot of money to be made if if a breakthrough occurs. That would explain why the agency was to hawkish.
Thank you very much for sharing this I'll keep it in mind. To me the idea of someone else owning my intellectual property that I worked on formulating is abhorrent. This is why I'm may strongly consider self funding even if funding is available for what I want to do. Were you doing work in...
I would never allow that. If I'm not given a good amount of control over what I do my dissertation I'll gladly get a new adviser. There is also no way I'm going to TA after my 2nd year so I would not want an adviser that makes there student TA for them. Luckily I passed my qualifying exam...
It isn't controversial, but just something that isn't itself represented at my university. It is a reformulation of QFT and there are plenty of people in my department who are experts in QFT.
Doesn't that funding come directly from my adviser though? Because my topic is risky for a thesis wouldn't they not want to use there own money but be more willing if initially I self fund?
I'm a 2nd year Ph.D student and I have a pretty good idea what my topic for my dissertation is going to be. It is a very ambitious topic and doesn't fit the mold of small esoteric problems AKA " little problem that nobody ever heard of " in theoretical physics that are the topics of many...
(a) Assume that a static field is applied, B~ = Bzˆ where ˆz is the unit vector along the z-axis. Find the eigenenergies of the system. Plot the spectrum as a function of B for fixed A, labeling all relevant features. Also find the eigenfunctions for B = 0 and in the limit of infinitely large B...
Consider two s = 1/2 spins. Their interaction with each other is described by the Hamiltonian: Hex = A~σ1 · ~σ2 , where A is a positive constant, and ~σ1 and ~σ2 are vectors with components given by the Pauli matrices. In addition, a magnetic field B~ is applied to spin #1 only, so that the...