Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-07-14
Phys.Rev. D73 (2006) 014504; Erratum-ibid. D74 (2006) 079905
Physics
High Energy Physics
High Energy Physics - Lattice
v3) Little groups for lattice momenta corrected. Includes corrections from erratum submitted to Phys. Rev. D and a more consis
Scientific paper
10.1103/PhysRevD.73.014504
The irreducible representations (IRs) of the double cover of the Euclidean group with parity in three dimensions are subduced to the corresponding cubic space group. The reduction of these representations gives the mapping of continuum angular momentum states to the lattice in the case of non-zero linear momentum. The continuous states correspond to lattice states with the same momentum and continuum rotational quantum numbers decompose into those of the IRs of the little group of the momentum vector on the lattice. The inverse mapping indicates degeneracies that will appear between levels of different lattice IRs in the continuum limit, recovering the continuum angular momentum multiplets. An example of this inverse mapping is given for the case of the ``moving'' isotropic harmonic oscillator.
Fleming George T.
Moore David C.
No associations
LandOfFree
Angular Momentum on the Lattice: The Case of Non-Zero Linear Momentum 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 Angular Momentum on the Lattice: The Case of Non-Zero Linear Momentum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Angular Momentum on the Lattice: The Case of Non-Zero Linear Momentum will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-411498