Next: Categories in Quantum Mechanics Up: Category Previous: Elements and their relations
In this section I will delineate three different categories that arise in Quantum Mechanics
namely the category
[2] [3] of self adjoint operators, the category
[2] [3] of Boolean subalgebras of the lattice
and the category Hilb [1]
of Hilbert spaces.
I will then analyze The category nCob [1] which arise in General relativity and the relation between Hilb and nCob [1].
Subsections
- Categories in Quantum Mechanics
- The Category of bounded self adjoint operators
- Category of Boolean subalgebras
- Category Hilb (Hilbert spaces)
- Hilb becomes a *-Category
- Hilb becomes a Monoidal Category
- Category nCob in General Relativity
Cecilia Flori 2006-11-20