Authors: J.A.J. van Leunen
Hilbert spaces can store discrete quaternions and quaternionic continuums in the eigenspaces of operators that reside in these Hilbert spaces. The reverse bra-ket method can create natural parameter spaces from quaternionic number systems and can relate pairs of functions and their parameter spaces with eigenspaces and eigenvectors of corresponding operators that reside in non-separable Hilbert spaces. This also works for separable Hilbert spaces and the defining functions relate the separable Hilbert space with its non-separable companion. The method links Hilbert space technology with function technology, differential technology and integral technology.
Comments: 7 Pages. The docx version of this paper http://www.e-physics.eu/TheReverseBra_ketMethod.docx contains free accessible formulas.
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