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Quantum algebraic symmetries in atomic clusters, molecules and nuclei | | D.Bonatsos
; N. Karoussos
; P. P. Raychev
; R. P. Roussev
; | | Date: |
29 May 2001 | | Journal: | Condensed Matter Theor. 15 (2000) 25 | | Subject: | Quantum Physics; Mathematical Physics; Chemical Physics | quant-ph math-ph math.MP nucl-th physics.chem-ph | | 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. | | Source: | arXiv, quant-ph/0105143 | | Services: | Forum | Review | PDF | Favorites | |
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