{ "id": "2103.01080", "version": "v1", "published": "2021-03-01T15:48:19.000Z", "updated": "2021-03-01T15:48:19.000Z", "title": "Observables in Quantum Mechanics and the importance of self-adjointness", "authors": [ "Tajron Jurić" ], "comment": "26 pages, comments are welcomed. arXiv admin note: text overlap with arXiv:1306.5570 by other authors", "categories": [ "quant-ph", "hep-th", "math-ph", "math.MP" ], "abstract": "We are focused on the idea that observables in quantum physics are a bit more then just hermitian operators and that this is, in general, a \"tricky business\". The origin of this idea comes from the fact that there is a subtle difference between symmetric, hermitian, and self-adjoint operators which are of immense importance in formulating Quantum Mechanics. The theory of self-adjoint extensions is presented through several physical examples and a great emphasis is given on the physical implications and applications.", "revisions": [ { "version": "v1", "updated": "2021-03-01T15:48:19.000Z" } ], "analyses": { "keywords": [ "observables", "self-adjointness", "quantum physics", "hermitian operators", "great emphasis" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable" } } }