{"_buckets": {"deposit": "2a471d96-8f1c-4b4e-9d05-45b089811ad4"}, "_deposit": {"id": "11686", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11686"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011686"}, "item_6_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2008-05-15", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1-2", "bibliographicPageEnd": "145", "bibliographicPageStart": "141", "bibliographicVolumeNumber": "663", "bibliographic_titles": [{"bibliographic_title": "PHYSICS LETTERS B"}]}]}, "item_6_description_20": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "By factorization of the Hamiltonian describing the quantum mechanics of the continuous q-Hermite polynomial, the creation and annihilation operators of the q-oscillator are obtained. They satisfy a q-oscillator algebra as a consequence of the shape-invariance of the Hamiltonian. A second set of q-oscillator is derived from the exact Heisenberg operator solution. 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They satisfy a q-oscillator algebra as a consequence of the shape-invariance of the Hamiltonian. A second set of q-oscillator is derived from the exact Heisenberg operator solution. Now the q-oscillator stands on the equal footing to the ordinary harmonic oscillator. (C) 2008 Elsevier B.V. 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