Douglas Blumeyer's RTT How-To: Difference between revisions

Cmloegcmluin (talk | contribs)
Cmloegcmluin (talk | contribs)
extended Dirac notation
Line 1,460: Line 1,460:
|(column) vector, matrix column
|(column) vector, matrix column
|-
|-
!multilinear algebra structure<ref>RTT uses multilinear algebra structures, but does not use the conventional tensor (multi-dimensional array) representations them; instead, it uses two copies of exterior algebra, one on each side of the duality, and this is what brings the Dirac notation into play.</ref>
!multilinear algebra structure<ref>RTT uses multilinear algebra structures, but does not use the conventional tensor (multi-dimensional array) representations of them; instead, it uses two copies of exterior algebra, one on each side of the duality, and an extended version of Dirac notation.</ref>
|covector
|covector
|list of covectors
|list of covectors
Line 1,468: Line 1,468:
|vector
|vector
|-
|-
!Dirac notation representation
!extended Dirac notation representation
|bra
|bra
|ket of bras
|ket of bras