{ "id": "0707.3075", "version": "v3", "published": "2007-07-20T14:01:30.000Z", "updated": "2008-09-12T06:23:54.000Z", "title": "Metric Operators for Quasi-Hermitian Hamiltonians and Symmetries of Equivalent Hermitian Hamiltonians", "authors": [ "Ali Mostafazadeh" ], "comment": "6 pages, published version", "journal": "J. Phys. A: Math. Theo., 41, 055304 (2008)", "doi": "10.1088/1751-8113/41/24/244017", "categories": [ "quant-ph" ], "abstract": "We give a simple proof of the fact that every diagonalizable operator that has a real spectrum is quasi-Hermitian and show how the metric operators associated with a quasi-Hermitian Hamiltonian are related to the symmetry generators of an equivalent Hermitian Hamiltonian.", "revisions": [ { "version": "v3", "updated": "2008-09-12T06:23:54.000Z" } ], "analyses": { "keywords": [ "equivalent hermitian hamiltonian", "quasi-hermitian hamiltonian", "symmetry generators", "real spectrum", "simple proof" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2008, "month": "Jun", "volume": 41, "number": 24, "pages": 244017 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008JPhA...41x4017M" } } }