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Results tagged with mp.mathematical-physics
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user 65
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
2
votes
How is tropicalization like taking the classical limit?
I think as for (1) you're mixing a very small class of exactly defined physical problems with a very small numbers of degrees of freedom, which is indeed described by things like equations, with the l …
- 15.1k
1
vote
How is tropicalization like taking the classical limit?
I think the math and physics questions here are sufficiently different.
I'm not familiar with tropic geometry, but I searched and found very readable introduction at math.CO/0408099.
- 15.1k
1
vote
Can the "physical argument" for the existence of a solution to Dirichlet's problem be made i...
I am not an expert on PDEs, but I know that often the existence and uniqueness of solutions to partial differential equations are obtained by Banach's fixed point theorem or similar results. Essential …
- 15.1k
0
votes
How should I think about B-fields?
In general, you should think about B-field in quantum field theory as providing some noncommutativity.
- 15.1k
3
votes
Where does a math person go to learn quantum mechanics?
There's quite a variety of resources available for learning quantum mechanics. Since you're interested in the mathematical perspective, my suggestion would be to start with one of the mathematically-o …
1
vote
Does it help to learn statistical mechanics in order to learn thermodynamic formalism?
Try Feynman's Lectures on Statistical Mechanics, you'll have a good chance to learn both.
- 15.1k
4
votes
A reading list for topological quantum field theory?
Try This Week's Finds in Mathematical Physics first. It has some classic references, e.g. Atiyah's book:
The Geometry and Physics of Knots, by Michael Atiyah, Cambridge U. Press, 1990.
(update: …
4
votes
What is the symbol of a differential operator?
The definition of symbol as presented in Wikipedia is not invariant — only the highest order terms. Some textbooks call those higher order terms symbols (Wikipedia suggests the name principal symbol), …
- 15.1k