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Results tagged with physics
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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
32
votes
A soft introduction to physics for mathematicians who don't know the first thing about physics
Dolgachev has some lecture notes for an introduction to physics course he taught to math graduate students. Certainly it presumes mathematical maturity. …
31
votes
Representation theory and elementary particles
This general observation reproduces many of the familiar conserved quantities in physics. To give two examples:
If $g(t)$ is translation in a space direction, $A$ is momentum in that direction. … isotypic components of this representation, so it's again physically meaningful to say things like "$\psi$ belongs to the isotypic component corresponding to such-and-such irreducible representation" (in physics …
- 118k
2
votes
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What is the precise relationship between real Poisson algebras and commutative $C^*$ algebras?
Quantum mechanics is not just noncommutative probability; a commutative $C^{\ast}$-algebra alone corresponds via Gelfand duality to some (locally) compact Hausdorff space $X$, which is not equipped wi …
- 118k