dorsal/arxiv
View SchemaQuantum algebraic symmetries in atomic clusters, molecules and nuclei
| Authors | D. Bonatsos, N. Karoussos, P. P. Raychev, R. P. Roussev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105143 |
| URL | https://arxiv.org/abs/quant-ph/0105143 |
| Journal | Condensed Matter Theor. 15 (2000) 25 |
Abstract
Quantum algebras (also called quantum groups) are deformed versions of the usual Lie algebras, to which they reduce when the deformation parameter q is set equal to unity. From the mathematical point of view they are Hopf algebras. Their use in physics became popular with the introduction of the q-deformed harmonic oscillator as a tool for providing a boson realization of the quantum algebra SUq(2), although similar mathematical structures had already been known. Initially used for solving the quantum Yang-Baxter equation, quantum algebras have subsequently found applications in several branches of physics, as, for example, in the description of spin chains, squeezed states, hydrogen atom and hydrogen-like spectra, rotational and vibrational nuclear and molecular spectra, and in conformal field theories. By now much work has been done on the q-deformed oscillator and its relativistic extensions, and several kinds of generalized deformed oscillators and SU(2) algebras have been introduced. Here we shall confine ourselves to a list of applications of quantum algebras in nuclear structure physics and in molecular physics and, in addition, a recent application of quantum algebraic techniques to the structure of atomic clusters will be discussed in more detail.
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"abstract": "Quantum algebras (also called quantum groups) are deformed versions of the\nusual Lie algebras, to which they reduce when the deformation parameter q is\nset equal to unity. From the mathematical point of view they are Hopf algebras.\nTheir use in physics became popular with the introduction of the q-deformed\nharmonic oscillator as a tool for providing a boson realization of the quantum\nalgebra SUq(2), although similar mathematical structures had already been\nknown. Initially used for solving the quantum Yang-Baxter equation, quantum\nalgebras have subsequently found applications in several branches of physics,\nas, for example, in the description of spin chains, squeezed states, hydrogen\natom and hydrogen-like spectra, rotational and vibrational nuclear and\nmolecular spectra, and in conformal field theories. By now much work has been\ndone on the q-deformed oscillator and its relativistic extensions, and several\nkinds of generalized deformed oscillators and SU(2) algebras have been\nintroduced. Here we shall confine ourselves to a list of applications of\nquantum algebras in nuclear structure physics and in molecular physics and, in\naddition, a recent application of quantum algebraic techniques to the structure\nof atomic clusters will be discussed in more detail.",
"arxiv_id": "quant-ph/0105143",
"authors": [
"D. Bonatsos",
"N. Karoussos",
"P. P. Raychev",
"R. P. Roussev"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"nucl-th",
"physics.chem-ph"
],
"journal_ref": "Condensed Matter Theor. 15 (2000) 25",
"title": "Quantum algebraic symmetries in atomic clusters, molecules and nuclei",
"url": "https://arxiv.org/abs/quant-ph/0105143"
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