Physics – Quantum Physics
Scientific paper
2012-01-02
Physics
Quantum Physics
8pages
Scientific paper
Novel analysis of ?nite dimensional Hilbert space is outlined. The approach bypasses general, inherent, di?culties present in handling angular variables in ?nite dimensional problems: The ?nite dimensional, d, Hilbert space operators are underpinned with ?nite geometry which provide intuitive perspective to the physical operators. The analysis emphasizes a central role for projectors of mutual unbiased bases (MUB) states, extending thereby their use in ?nite dimensional quantum mechanics studies. Interrelation among the Hilbert space operators revealed via their (?nite) dual a?ne plane geometry (DAPG) underpinning are displayed and utilized in formulating the ?nite dimensional ubiquitous Radon transformation and its inverse illustrating phase space-like physics encoded in lines and points of the geometry. The ?nite geometry required for our study is outlined.
No associations
LandOfFree
Radon Transform in Finite Dimensional Hilbert Space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Radon Transform in Finite Dimensional Hilbert Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Radon Transform in Finite Dimensional Hilbert Space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-55515