3 ms·
I know this is tangential but my fav definition of inner and outer products is Inner(x,y) = x'.y And Outer(x,y) = x. y' ' is adjoint
by adamnemecek 7y ago
I know this is tangential but my fav definition of inner and outer products is
Inner(x,y) = x'.y
And
Outer(x,y) = x. y'
' is adjoint
- IIAOPSW 7y agoMy favorite is inner: <bra|ket> outer: |ket><bra|
- s9w 7y agonot sure why this was downvoted. QM linear algebra can be quite eye-opening and elegant
- japanuspus 7y agoAs a quantum physicist who has drifted into other fields, I keep returning to bra-ket [0] notation when I have to do any linear algebra calculations. Find it to be the most ergonomic notation for linear algebra, especially in product spaces. In my experience, the key to avoiding snickers from math-types when using bra-kets is to say "dual space" [1] a couple of times. [0]: https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation [1]: https://en.wikipedia.org/wiki/Dual_space https://en.wikipedia.org/wiki/Dual_space
- layoutIfNeeded 7y agoMy favorite is the symmetric and the antisymmetric part of the geometric product.