2019-12-06T10:54:01Zhttps://soar-ir.repo.nii.ac.jp/?action=repository_oaipmhoai:soar-ir.repo.nii.ac.jp:000116802019-12-04T05:21:10Z01169:01170
Unified theory of annihilation-creation operators for solvable ("discrete") quantum mechanicsenghttp://hdl.handle.net/10091/18508Journal ArticleOdake, SatoruSasaki, RyuAMER INST PHYSICSJOURNAL OF MATHEMATICAL PHYSICS. 47(10):102102 (2006)JOURNAL OF MATHEMATICAL PHYSICS47101021022006-10The annihilation-creation operators a((+/-)) are defined as the positive/negative frequency parts of the exact Heisenberg operator solution for the "sinusoidal coordinate". Thus a((+/-)) are hermitian conjugate to each other and the relative weights of various terms in them are solely determined by the energy spectrum. This unified method applies to most of the solvable quantum mechanics of single degree of freedom including those belonging to the "discrete" quantum mechanics.Article0022-2488AA00701758http://dx.doi.org/10.1063/1.2349485© 2006 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 47(10):102102 (2006) and may be found at http://dx.doi.org/10.1063/1.2349485authorhttps://soar-ir.repo.nii.ac.jp/?action=repository_action_common_download&item_id=11680&item_no=1&attribute_id=65&file_no=12015-09-28