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## Main Question or Discussion Point

What kind of math does QM use (beyond calculus, differential equations and linear algebra)?

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What kind of math does QM use (beyond calculus, differential equations and linear algebra)?

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Some complex analysis helped me quite a bit.

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Less on rings and fields,but a lotta group theory representations...

Daniel.

Daniel.

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Unless you get beyond basic QM, when rings (in the form of algebras: rings with a product) and fields get very important. Lie algebras, Von Neumann algebras, Clifford algebras, ...dextercioby said:Less on rings and fields,but a lotta group theory representations...

Daniel.

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Daniel.

P.S.Did someone mention diff.geom.for nice bundle homological & cohomological approaches to quantization (including the famous BRST)...?

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One might add Probability Theory, Logic, and Symplectic Geometry.

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Don't forget vector-cross-product math. Angular momentum and its orthogonality aspect extend not only from QM atomic orbits to also the perpenicularity of the axis of magnetic rotation of the Milky Way relative to the plane of matter. Cheers, Jim

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