dorsal/arxiv
View SchemaRealizations of the osp(2,1) Superalgebra and Related Physical Systems
| Authors | Hayriye Tutunculer, Ramazan Koc |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410068 |
| URL | https://arxiv.org/abs/quant-ph/0410068 |
| Journal | Tr. J. Phys. 28, (2004) 145-153 |
Abstract
Eigenvalues and eigenfunction of two-boson 2x2 Hamiltonians in the framework of the superalgebra osp(2,1) are determined by presenting a similarity transformation. The Hamiltonians include two bosons and one fermion have been transformed in the form of the one variable differential equations and the conditions for its solvability have been discussed. It is observed that the Hamiltonians of the various physical systems can be written in terms of the generators of the osp(2,1) superalgebra and under some certain conditions their eigenstates can exactly be obtained. In particular, the procedure given here is useful in determining eigenstates of the Jaynes-Cummings Hamiltonians.
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"abstract": "Eigenvalues and eigenfunction of two-boson 2x2 Hamiltonians in the framework\nof the superalgebra osp(2,1) are determined by presenting a similarity\ntransformation. The Hamiltonians include two bosons and one fermion have been\ntransformed in the form of the one variable differential equations and the\nconditions for its solvability have been discussed. It is observed that the\nHamiltonians of the various physical systems can be written in terms of the\ngenerators of the osp(2,1) superalgebra and under some certain conditions their\neigenstates can exactly be obtained. In particular, the procedure given here is\nuseful in determining eigenstates of the Jaynes-Cummings Hamiltonians.",
"arxiv_id": "quant-ph/0410068",
"authors": [
"Hayriye Tutunculer",
"Ramazan Koc"
],
"categories": [
"quant-ph"
],
"journal_ref": "Tr. J. Phys. 28, (2004) 145-153",
"title": "Realizations of the osp(2,1) Superalgebra and Related Physical Systems",
"url": "https://arxiv.org/abs/quant-ph/0410068"
},
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