{ "id": "2307.12320", "version": "v1", "published": "2023-07-23T13:16:10.000Z", "updated": "2023-07-23T13:16:10.000Z", "title": "Action for classical, quantum, closed and open systems", "authors": [ "Janos Polonyi" ], "comment": "39 pages 4 figures", "categories": [ "quant-ph", "hep-th" ], "abstract": "The action functional can be used to define classical, quantum, closed, and open dynamics in a generalization of the variational principle and in the path integral formalism in classical and quantum dynamics, respectively. These schemes are based on an unusual feature, a formal redoubling of the degrees of freedom. Five arguments to motivate such a redoubling are put forward to demonstrate that such a formalism is natural. The common elements of the different arguments is the causal time arrow. Some lessons concerning decoherence, dissipation and the classical limits are mentioned, too.", "revisions": [ { "version": "v1", "updated": "2023-07-23T13:16:10.000Z" } ], "analyses": { "keywords": [ "open systems", "causal time arrow", "path integral formalism", "open dynamics", "unusual feature" ], "note": { "typesetting": "TeX", "pages": 39, "language": "en", "license": "arXiv", "status": "editable" } } }