On relation between geometric momentum and annihilation operators on a two-dimensional sphere
| Autor: | Liu, Q. H., Shen, Y., Xun, D. M., Wang, X. |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | International Journal of Geometric Methods in Modern Physics,Vol. 10, No. 6 (2013) 1320007 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0219887813200077 |
| Popis: | With a recently introduced geometric momentum that depends on the extrinsic curvature and offers a proper description of momentum on two-dimensional sphere, we show that the annihilation operators whose eigenstates are coherent states on the sphere take the expected form {\alpha}x+i{\beta}p, where {\alpha} and {\beta} are two operators that depend on the angular momentum and x and p are the position and the geometric momentum, respectively. Since the geometric momentum is manifestly a consequence of embedding the two-dimensional sphere in the three-dimensional flat space, the coherent states reflects some aspects beyond the intrinsic geometry of the surfaces. Comment: 5 pages, no figure |
| Databáze: | arXiv |
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