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Results tagged with mp.mathematical-physics
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user 4281
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
17
votes
3
answers
3k
views
Why is the harmonic oscillator so important? (pure viewpoint sought). How to motivate its ro...
I'm in the process of understanding the heat equation proof of the Atiyah-Singer Index Theorem for Dirac Operators on a spin manifold using Getzler scaling. I'm attending a masters-level course on it …
- 1,771
10
votes
3
answers
4k
views
Is the Lie algebra-valued curvature two-form on a principal bundle P the curvature of a vect...
I am an analyst struggling through some geometry used in physics.
Some background: For some Lie group $G$, let $P$ be a principal $G$-bundle over the smooth manifold $M$. Let $\omega$ be a connection …
- 1,771