Unified Description of q-Deformed Harmonic Oscillators
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概要
- 論文の詳細を見る
It is shown that a wide class of q-deformed harmonic oscillators, including those of the Macfarlane type and Dubna type, can be described in a unified way. The Hamiltonian of the oscillator is assumed to be given by a q-deformed anti-commutator of the q-deformed ladder operators. By solving q-difference equations, explicit coordinate representations of ladder operators and wave functions are derived, and unified parametric representations are found for q-Hermite functions and related formulas for oscillators of the Macfarlane and Dubna types. In addition to the well-known solutions with globally periodic structure, it is found that there exist an infinite number of solutions with globally aperiodic structure.
- 理論物理学刊行会の論文
- 2002-01-25
著者
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Sogami Ikuo
Department Of Physics Kyoto Sangyo University
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Ikuo S.
Department Of Physics Kyoto Sangyo University
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KOIZUMI Kouzou
Department of Physics, Kyoto Sangyo University
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Koizumi Kouzou
Department Of Physics Kyoto Sangyo University
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Ikuo S.
Department of Physics, Kyoto Sangyo University
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