Randomized Hamiltonian Mechanics
- 作者: Orlov Y.1, Sakbaev V.2, Smolyanov O.2,3
-
隶属关系:
- Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Moscow Institute of Physics and Technology (National Research University)
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- 期: 卷 99, 编号 3 (2019)
- 页面: 313-316
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225684
- DOI: https://doi.org/10.1134/S1064562419030207
- ID: 225684
如何引用文章
详细
Hamiltonian mechanics determined by time-dependent random Hamiltonian functions is called randomized Hamiltonian mechanics. The corresponding Hamiltonian systems are called random. Feynman formulas for random Hamiltonian systems are obtained. It is shown that these formulas describe solutions of a Hamiltonian equation whose Hamiltonian is the mean value of the random Hamiltonian function. Analogous results are obtained for random quantum systems (which are known to be infinite-dimensional random Hamiltonian systems). The random quantum Hamiltonians can be used to describe the so-called open quantum systems (which are part of some lager quantum systems).
作者简介
Yu. Orlov
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: fumi2003@mail.ru
俄罗斯联邦, Moscow,
125047
V. Sakbaev
Moscow Institute of Physics and Technology (National Research University)
编辑信件的主要联系方式.
Email: fumi2003@mail.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700
O. Smolyanov
Moscow Institute of Physics and Technology (National Research University); Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Email: fumi2003@mail.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991