| Автор | Stephen L Adler |
| Автор | Todd A Brun |
| Дата выпуска | 2001-06-15 |
| dc.description | A number of authors have proposed stochastic versions of the Schrödinger equation, either as effective evolution equations for open quantum systems or as alternative theories with an intrinsic collapse mechanism. Here we discuss two directions for the generalization of these equations. First, we study a general class of norm preserving stochastic evolution equations, and show that even after making several specializations there is an infinity of possible stochastic Schrödinger equations for which state vector collapse is provable. Second, we explore the problem of formulating a relativistic stochastic Schrödinger equation, using a manifestly covariant equation for a quantum field system based on the interaction picture of Tomonaga and Schwinger. The stochastic noise term in this equation can couple to any local scalar density that commutes with the interaction energy density, and leads to collapse onto spatially localized eigenstates. However, as found in a similar model by Pearle, the equation predicts an infinite rate of energy nonconservation proportional to δ<sup>3</sup>(), arising from the local double commutator in the drift term. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Generalized stochastic Schrödinger equations for state vector collapse |
| Тип | paper |
| DOI | 10.1088/0305-4470/34/23/302 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 34 |
| Первая страница | 4797 |
| Последняя страница | 4809 |
| Аффилиация | Stephen L Adler; Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA |
| Аффилиация | Todd A Brun; Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA |
| Выпуск | 23 |
