Functional analysis MOC

Dirac orthonormality

A set of kets |π‘“π‘βŸ© where 𝑝 βˆˆβ„ is said to be Dirac orthonormal1 iff fun

βŸ¨π‘“π‘β€²|π‘“π‘β€²βŸ©=𝛿(π‘βˆ’π‘)

where 𝛿 is the Dirac delta, and in addition complete iff

∫𝐷|π‘“π‘§βŸ©βŸ¨π‘“π‘§|𝑑𝑧=𝐈


develop | en | SemBr

Footnotes

  1. 2018. Introduction to quantum mechanics, Β§3.3.2, p. 100 ↩