dorsal/arxiv
View SchemaFactorizations and Physical Representations
| Authors | M. Revzen, F. C. Khanna, A. Mann, J. Zak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508191 |
| URL | https://arxiv.org/abs/quant-ph/0508191 |
| DOI | 10.1088/0305-4470/39/18/027 |
Abstract
A Hilbert space in M dimensions is shown explicitly to accommodate representations that reflect the prime numbers decomposition of M. Representations that exhibit the factorization of M into two relatively prime numbers: the kq representation (J. Zak, Phys. Today, {\bf 23} (2), 51 (1970)), and related representations termed $q_{1}q_{2}$ representations (together with their conjugates) are analysed, as well as a representation that exhibits the complete factorization of M. In this latter representation each quantum number varies in a subspace that is associated with one of the prime numbers that make up M.
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"abstract": "A Hilbert space in M dimensions is shown explicitly to accommodate\nrepresentations that reflect the prime numbers decomposition of M.\nRepresentations that exhibit the factorization of M into two relatively prime\nnumbers: the kq representation (J. Zak, Phys. Today, {\\bf 23} (2), 51 (1970)),\nand related representations termed $q_{1}q_{2}$ representations (together with\ntheir conjugates) are analysed, as well as a representation that exhibits the\ncomplete factorization of M. In this latter representation each quantum number\nvaries in a subspace that is associated with one of the prime numbers that make\nup M.",
"arxiv_id": "quant-ph/0508191",
"authors": [
"M. Revzen",
"F. C. Khanna",
"A. Mann",
"J. Zak"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/18/027",
"title": "Factorizations and Physical Representations",
"url": "https://arxiv.org/abs/quant-ph/0508191"
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