A <Emphasis Type="Italic">q</Emphasis>-deformed particle algebra with a unique <Emphasis Type="Italic">d</Emphasis>-dimensional representation |
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Authors: | Şeyda C Tekin Metin Arik |
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Institution: | 1.Department of Mathematics,Istanbul Technical University,Maslak, Istanbul,Turkiye;2.Department of Physics,Bogazici University,Bebek, Istanbul,Turkiye |
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Abstract: | We present an algebra generated by a single pair of creation and annihilation operators b and b*. We prove that the algebra has a unique d-dimensional representation. Physically this algebra corresponds to a system where there are at most d − 1 particles in a state with otherwise same quantum numbers. |
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