All Questions
Tagged with specific-reference mathematical-physics
16
questions
-3
votes
1
answer
152
views
Can there be an **essential topic** in physics which cannot be archimedean? [closed]
In physics it seems everything is explained with $\mathbb R$ or $\mathbb C$ typed entitites.
Is there anything in or that would be in future in physics that would need the utility of $p$-adics in an ...
- 141
0
votes
0
answers
111
views
Wannier's solution of the Landau-Zener problem
It is said that Wannier had a very simple solution of the Landau-Zener problem. His paper is on Physics 1, 251 (1965). Apparently this journal is closed and I cannot find the paper online.
Does ...
- 1,028
2
votes
0
answers
135
views
Helicity for Zero Rest Mass Field Equations
I'm trying to reconcile the usual definition of the helicity operator, namely
$$ h = \hat{p}.S$$
with the definition of a massless helicity $n$ field as a symmetric spinor field $\phi^{A\dots B}$ ...
- 7,946
3
votes
0
answers
169
views
Question about the HVZ theorem
In this paper1 the authors cite the HVZ theorem2 saying that it follows from the method used by M. Reed & B. Simon without modifications; I don't really understand this point.
Is there anyone who ...
Sue
14
votes
1
answer
1k
views
Electric potential of a spheroidal gaussian
I'm looking for results that compute the electrostatic potential due to a spheroidal gaussian distribution. Specifically, I'm looking for solutions of equations of the form
$$
\nabla^2\Phi=N\exp\left({...
- 134k
4
votes
3
answers
3k
views
Equations of fluid dynamics and differential geometry [closed]
Where can I look for equations of fluid motion written in terms of nifty things from differential geometry like exterior derivative, Hodge dual, musical isomorphism?
Preferably both with and without ...
- 2,619
2
votes
2
answers
427
views
Group rings in Physics
In my institute a few mathematicians work on Group Ring. Since it has close connection with representation theory, I thought that there must be some interesting connections of it with Physics. However ...
- 1,049
12
votes
2
answers
524
views
Discussions of the axioms of AQFT
The most recent discussion of what axioms one might drop from the Wightman axioms to allow the construction of realistic models that I'm aware of is Streater, Rep. Prog. Phys. 1975 38 771-846, "...
- 9,948
15
votes
1
answer
2k
views
Fourier Methods in General Relativity
I am looking for some references which discuss Fourier transform methods in GR. Specifically supposing you have a metric $g_{\mu \nu}(x)$ and its Fourier transform $\tilde{g}_{\mu \nu}(k)$, what does ...
- 1,424
8
votes
3
answers
2k
views
Axiomatic statistical mechanics
Ive read a few courses on statistical mechanics, and while their textual explanations and example choices differ, the flow of information from microscopy to macroscopy seems the same, and reading ...
- 948
12
votes
2
answers
241
views
Numerical Analysis of Elliptic PDEs
I am looking for an elementary reference regarding issues of stability in numerical analysis of non-linear elliptic PDEs, particularly using the finite difference method (but something more ...
user566
11
votes
1
answer
525
views
Characters of $\widehat{\mathfrak{su}}(2)_k$ and WZW coset construction
I am currently studying affine Lie algebras and the WZW coset construction. I have a minor technical problem in calculating the (specialized) character of $\widehat{\mathfrak{su}}(2)_k$ for an affine ...
- 5,382
4
votes
2
answers
256
views
Physics talk with an emphasis on Mathematics [closed]
I have to give a 10 minute physics talk that have to involve a fair bit of mathematics -- i.e. not just qualitative/handwaving material to some undergrads. I have wasted the last 3 hours looking for ...
- 41
119
votes
6
answers
8k
views
What are the justifying foundations of statistical mechanics without appealing to the ergodic hypothesis?
This question was listed as one of the questions in the proposal (see here), and I didn't know the answer. I don't know the ethics on blatantly stealing such a question, so if it should be deleted or ...
- 4,504
6
votes
0
answers
275
views
K3 gravitational instanton
Could you please recommend a sufficiently elementary introduction to K3 gravitational instanton in general relativity and the problem of finding its explicit form?
Under 'sufficiently elementary' I ...
- 348