{"title":"Algebraic Resonance Perturbation Theory in Problems of Nonlinear and Quantum Optics","authors":"A. M. Basharov","doi":"10.3103/S0027134925701012","DOIUrl":null,"url":null,"abstract":"<p>The algebraic resonance perturbation theory (ARPT) is formulated, general expressions of the theory are written down, by means of which effective Hamiltonians are concisely derived, interference interactions are described, and kinetic equations are obtained for various cases of interaction between electromagnetic radiation and quantum systems. The natural integration of the method of stochastic differential equations into ARPT and the physical justification of the principles for the selection of ARPT terms are indicated in the case of approximating the environment of an open system by delta-correlated noise. The inevitability of the emergence of interference interactions is emphasized due to the formulated ARPT requirements regarding the selection of only slowly time-varying terms in the Dirac picture into the effective Hamiltonian.</p>","PeriodicalId":711,"journal":{"name":"Moscow University Physics Bulletin","volume":"80 5","pages":"845 - 858"},"PeriodicalIF":0.4000,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Physics Bulletin","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S0027134925701012","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The algebraic resonance perturbation theory (ARPT) is formulated, general expressions of the theory are written down, by means of which effective Hamiltonians are concisely derived, interference interactions are described, and kinetic equations are obtained for various cases of interaction between electromagnetic radiation and quantum systems. The natural integration of the method of stochastic differential equations into ARPT and the physical justification of the principles for the selection of ARPT terms are indicated in the case of approximating the environment of an open system by delta-correlated noise. The inevitability of the emergence of interference interactions is emphasized due to the formulated ARPT requirements regarding the selection of only slowly time-varying terms in the Dirac picture into the effective Hamiltonian.
期刊介绍：
Moscow University Physics Bulletin publishes original papers (reviews, articles, and brief communications) in the following fields of experimental and theoretical physics: theoretical and mathematical physics; physics of nuclei and elementary particles; radiophysics, electronics, acoustics; optics and spectroscopy; laser physics; condensed matter physics; chemical physics, physical kinetics, and plasma physics; biophysics and medical physics; astronomy, astrophysics, and cosmology; physics of the Earth’s, atmosphere, and hydrosphere.
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