Relationship between the Itô–Schrödinger and Hudson–Parthasarathy equations
- Authors: Obrezkov O.O.1, Smolyanov O.G.1
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Affiliations:
- Mechanics and Mathematics Faculty
- Issue: Vol 95, No 1 (2017)
- Pages: 87-91
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/224848
- DOI: https://doi.org/10.1134/S1064562417010215
- ID: 224848
Cite item
Abstract
The Hudson–Parthasarathy equation and the Itô–Schrödinger equation (known also as the Belavkin equation) describe a Markov approximation of the dynamics of open quantum systems. The former is a stochastic version of the classical Heisenberg equation, while the latter is a stochastic version of the classical Schrödinger equation (but this analogy is not complete). Two versions of stochastic Heisenberg equations are considered, one of which uses a white noise operator constructed from (non–self-adjoint) birth and death operators and the other uses a white noise operator constructed from (self-adjoint) coordinate and momentum operators.
About the authors
O. O. Obrezkov
Mechanics and Mathematics Faculty
Email: smolyanov@yandex.ru
Russian Federation, Moscow, 119991
O. G. Smolyanov
Mechanics and Mathematics Faculty
Author for correspondence.
Email: smolyanov@yandex.ru
Russian Federation, Moscow, 119991