dorsal/arxiv
View SchemaMultiparticle SUSY quantum mechanics and the representations of permutation group
| Authors | M. V. Ioffe, A. I. Neelov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001063 |
| URL | https://arxiv.org/abs/quant-ph/0001063 |
| DOI | 10.1088/0305-4470/33/8/305 |
| Journal | J.Phys.A33:1581,2000 |
Abstract
The method of multidimensional SUSY Quantum Mechanics is applied to the investigation of supersymmetrical N-particle systems on a line for the case of separable center-of-mass motion. New decompositions of the superhamiltonian into block-diagonal form with elementary matrix components are constructed. Matrices of coefficients of these minimal blocks are shown to coincide with matrices of irreducible representations of permutations group S_N, which correspond to the Young tableaux (N-M,1^M). The connections with known generalizations of N-particle Calogero and Sutherland models are established.
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"abstract": "The method of multidimensional SUSY Quantum Mechanics is applied to the\ninvestigation of supersymmetrical N-particle systems on a line for the case of\nseparable center-of-mass motion. New decompositions of the superhamiltonian\ninto block-diagonal form with elementary matrix components are constructed.\nMatrices of coefficients of these minimal blocks are shown to coincide with\nmatrices of irreducible representations of permutations group S_N, which\ncorrespond to the Young tableaux (N-M,1^M). The connections with known\ngeneralizations of N-particle Calogero and Sutherland models are established.",
"arxiv_id": "quant-ph/0001063",
"authors": [
"M. V. Ioffe",
"A. I. Neelov"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.1088/0305-4470/33/8/305",
"journal_ref": "J.Phys.A33:1581,2000",
"title": "Multiparticle SUSY quantum mechanics and the representations of permutation group",
"url": "https://arxiv.org/abs/quant-ph/0001063"
},
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