{ "id": "quant-ph/9504001", "version": "v1", "published": "1995-04-03T14:03:53.000Z", "updated": "1995-04-03T14:03:53.000Z", "title": "Quantum mechanics of time-dependent systems. Construction of pure states", "authors": [ "Victor Tapia" ], "comment": "13 pages, plain TEX, no figures", "categories": [ "quant-ph" ], "abstract": "For time-dependent systems the wavefunction depends explicitly on time and it is not a pure state of the Hamiltonian. We construct operators for which the above wavefunction is a pure state. The method is based on the introduction of conserved quantities $Q$ and the pure states are defined by ${\\hat Q}\\psi=q\\psi$. The conserved quantities are constructed using parametrised mechanics and the Noether theorem.", "revisions": [ { "version": "v1", "updated": "1995-04-03T14:03:53.000Z" } ], "analyses": { "keywords": [ "pure state", "time-dependent systems", "quantum mechanics", "construction", "conserved quantities" ], "note": { "typesetting": "Plain TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 393977, "adsabs": "1995quant.ph..4001T" } } }