{ "id": "1603.02792", "version": "v1", "published": "2016-03-09T07:07:38.000Z", "updated": "2016-03-09T07:07:38.000Z", "title": "Appearances of pseudo-bosons from Black-Scholes equation", "authors": [ "Fabio Bagarello" ], "comment": "In press in Journal of Mathematical Physics", "categories": [ "math-ph", "math.MP" ], "abstract": "It is a well known fact that the Black-Scholes equation admits an alternative representation as a Schr\\\"odinger equation expressed in terms of a non self-adjoint hamiltonian. We show how {\\em pseudo-bosons}, linear or not, naturally arise in this context, and how they can be used in the computation of the pricing kernel.", "revisions": [ { "version": "v1", "updated": "2016-03-09T07:07:38.000Z" } ], "analyses": { "keywords": [ "pseudo-bosons", "appearances", "black-scholes equation admits", "non self-adjoint hamiltonian", "alternative representation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }