[Physics] Gradient of a wave function, notational confusion

differentiationhilbert-spacemomentumnotationquantum mechanics

I'm reading from "Quantum Physics for Dummies", by Steven Holzner. In chapter two, entitled "Entering the Matrix: Welcome to State Vectors", the author introduces the notation for a gradient of a wave function.

Gradient operator

I understand all of the complement, but what confuses me is the use of the relationship operators, what do they signify in this context? How can you compare a partial derivative with a basis vector?

Best Answer

This is typeset terribly. What it is supposed to mean is ket-vectors in Dirac notation, which are usually set with an "rangle" ($\rangle$) and "langle" ($\langle$), not > and <.

Related Question