inner product

Work in Progress

Summary

Properties

Norm

Orthogonality

Concept

Inner product

  • generalisation of the dot product
  • gives the notions of length(norm), angles and orthogonality

Axioms

in quantum mechanics right linearity is often used instead

Inner product space

Norm

all inner product spaces are normed vector spaces

Orthogonality

kronecker delta

Extra

Cauchy-Schwarz inequality