{ "id": "1808.03962", "version": "v1", "published": "2018-08-12T15:53:00.000Z", "updated": "2018-08-12T15:53:00.000Z", "title": "Generalized Dirac Oscillators with position-dependent mass", "authors": [ "C. -L. Ho", "P. Roy" ], "comment": "5 pages, no figures", "categories": [ "quant-ph", "cond-mat.other", "math-ph", "math.MP" ], "abstract": "We study the $(1+1)$ dimensional generalized Dirac oscillator with a position-dependent mass. In particular, bound states with zero energy as well as non zero energy have been obtained for suitable choices of the mass function/oscillator interaction. It has also been shown that in the presence of an electric field, bound states exist if the magnitude of the electric field does not exceed a critical value.", "revisions": [ { "version": "v1", "updated": "2018-08-12T15:53:00.000Z" } ], "analyses": { "keywords": [ "position-dependent mass", "electric field", "bound states", "dimensional generalized dirac oscillator", "non zero energy" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }