{ "id": "quant-ph/9903021", "version": "v1", "published": "1999-03-04T19:43:10.000Z", "updated": "1999-03-04T19:43:10.000Z", "title": "Probability Distributions and Hilbert Spaces: Quantum and Classical Systems", "authors": [ "V. I. Man'ko", "G. Marmo" ], "comment": "LATEX,13pages,accepted by Physica Scripta (1999)", "doi": "10.1238/Physica.Regular.060a00111", "categories": [ "quant-ph" ], "abstract": "We use the fact that some linear Hamiltonian systems can be considered as ``finite level'' quantum systems, and the description of quantum mechanics in terms of probabilities, to associate probability distributions with this particular class of linear Hamiltonian systems.", "revisions": [ { "version": "v1", "updated": "1999-03-04T19:43:10.000Z" } ], "analyses": { "keywords": [ "hilbert spaces", "classical systems", "linear hamiltonian systems", "associate probability distributions", "finite level" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 496267 } } }