Angular momentum on the lattice: The case of nonzero linear momentum
- Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520 (United States)
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 nonzero 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.
- OSTI ID:
- 20774616
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevD.73.014504; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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