Randomized Hamiltonian Mechanics
- Авторлар: Orlov Y.1, Sakbaev V.2, Smolyanov O.2,3
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Мекемелер:
- 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
- Шығарылым: Том 99, № 3 (2019)
- Беттер: 313-316
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225684
- DOI: https://doi.org/10.1134/S1064562419030207
- ID: 225684
Дәйексөз келтіру
Аннотация
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).
Авторлар туралы
Yu. Orlov
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: fumi2003@mail.ru
Ресей, Moscow,
125047
V. Sakbaev
Moscow Institute of Physics and Technology (National Research University)
Хат алмасуға жауапты Автор.
Email: fumi2003@mail.ru
Ресей, 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
Ресей, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991