{ "id": "quant-ph/0602103", "version": "v1", "published": "2006-02-13T11:49:08.000Z", "updated": "2006-02-13T11:49:08.000Z", "title": "Trapped Particles in $PT$ Symmetric Theories", "authors": [ "C. Yuce", "A. Kurt", "A. Kucukaslan" ], "comment": "10 pages", "categories": [ "quant-ph" ], "abstract": "$PT$ symmetric quantum mechanics for a particle trapped by the generalized non-Hermitian harmonic oscillator potential is studied. It is shown that energy and the expectation value of the position operator $x$ can not be real simultaneously, if the particle is trapped. Non-vanishing boundary conditions for the trapped particle in $PT$ symmetric theory are also discussed.", "revisions": [ { "version": "v1", "updated": "2006-02-13T11:49:08.000Z" } ], "analyses": { "keywords": [ "symmetric theory", "trapped particle", "generalized non-hermitian harmonic oscillator potential", "symmetric quantum mechanics", "non-vanishing boundary conditions" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 717609, "adsabs": "2006quant.ph..2103Y" } } }