Quantum deformation of the angular distributions of synchrotron radiation. Emission from particles in the first excited state

Багров, В. Г.; Burimova, Anastasia; Гитман, Д. М.; Levin, A. D.

doi:10.1140/epjc/s10052-012-1871-y

Cited by 5 publications

(3 citation statements)

References 18 publications

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“…Classical theory predicts the concentration of radiation near orbits' plane in ultrarelativistic limit. It was shown [4,5] that for first excited state particles (no matter spinor or scalar) quantum theory does not confirm this assumption. Here we demonstrated that for the case of shortest quantum spectrum no radiation concentration is observed.…”

Section: Effective Angles Of Radiationmentioning

confidence: 99%

New results in fundamental theory of synchrotron radiation

Багров¹,

Burimova²,

Гитман³

2013

J. Phys.: Conf. Ser.

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Abstract. Examining the characteristics of radiation from scalar particles in second excited state, which could be regarded at as a three-level system, we deliver (and solve) the problem on spectral properties in simplest form. Using the methods of quantum theory, we establish that partial contribution of fixed harmonic to the total power of radiation does not vanish in ultrarelativistic domain, and this fact contradicts the results known in classical approach. We also consider the evolution of radiation maximum. In particular, for a scalar particle we find the condition for radiation maximum to stay at highest possible harmonic. IntroductionClassical electrodynamics is usually considered as an adequate tool for description of synchrotron radiation (SR) properties with respect to the parameters of contemporary facilities. Nevertheless, for the last few decades the main quantum parameter ζ = γH/H 0 increased from 10 −7 to 10 −5 , i.e. by two orders. Since one knows that for the values ζ ∼ 10 −3 − 10 −2 quantum corrections have to be necessarily taken into account and assuming further development of SR sources techniques, important seems the consideration of basic SR properties in the framework of quantum theory.It is known that according to classical theory the spectrum of SR is discrete and regardless of any values of parameters contains an infinite number of harmonics [1]. In quantum theory the concept of radiation spectrum corresponds to quantum transitions between particles' energy levels [2,3].To study the spectral properties of SR in the framework of quantum theory it is convenient to start with the simplest case where such properties may show up. Namely, if we consider quantum three-level system, we already deal with a spectrum that contains two harmonics, each related to a certain quantum transition. Comparing the characteristics of SR calculated in terms of quantum theory with their classical analogues one can find if and when (at which values of parameters) classical theory is representational.Though from mathematical point of view it is easier to deal with weakly excited particles, the generalization to a case of arbitrary initial state appears more interesting concerning its possible applications, both theoretical and practical. For quantum transitions from an arbitrary initial state we focused on tracking the shift of radiation maximum -a problem thoroughly studied but so far only within classical approach.

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Section: Effective Angles Of Radiationmentioning

confidence: 99%

New results in fundamental theory of synchrotron radiation

Багров¹,

Burimova²,

Гитман³

2013

J. Phys.: Conf. Ser.

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“…Ref. [8]) and thus can significantly change classical results (which may be the subject of a separate study).…”

Section: Introductionmentioning

confidence: 98%

Effective spectrum width of the synchrotron radiation

et al. 2015

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For an exact quantitative description of spectral properties of synchrotron radiation (SR), the concept of effective width of the spectrum is introduced. In the most interesting case, which corresponds to the ultrarelativistic limit of SR, the effective width of the spectrum is calculated for the polarization components, and new physically important quantitative information on the structure of spectral distributions is obtained. For the first time, the spectral distribution for the circular polarization component of the SR for the upper half-space is obtained within classical theory.

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“…Thus, in addition to giving an exact analytical proof for the presence of π-component in the plane of motion, we established the physical cause of this phenomenon. For the particular case of a one-harmonic spectrum, this proof can be found in our recent papers [114,115].…”

Section: )mentioning

confidence: 80%

Spectral and angular distributions of synchrotron radiation in quantum theory

Burimova¹

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AcknowledgementI am using this opportunity to express my gratitude to everyone who supported me throughout my Doctorate course at IF USP. Immeasurable appreciation and deepest gratitude are extended to my adviser, Professor Dmitrii Maximovitch Guitman, as well as to all the members of "Quanta" group. I am thankful for their aspiring guidance, patience and friendly advice during the project work. This thesis was written as a summary of research project which was generally supported by FAPESP foundation.I am sincerely grateful to our collaborator, Professor Vladislav Gavriilovitch Bagrov, for his constructive criticism and fruitful advice.My sincere thank also goes to the members of the Comission of Qualification Exam for their remarks, advice and observations. These were of great help during the revision of particular chapters of this thesis.I kindly appreciate the support and patience of Post-Graduate Comission of IF USP and it is my greatest pleasure to thank Eber de Patto Lima personally.Special gratitude goes to Nelson Yokomizo, the former member of "Quanta" group and Thais Silva, Doctorate student of IAG. My family and friends, who had been helping me throughout all these years of work deserve special thanks. Thank you. i ii ResumoConsideramos as características da radiação síncrotron (RS) noâmbito da teoria quântica. Para simplificar a descrição teórica do processo de radiação restringimosà consideração da emissão deúnico fóton. Para transições quânticas arbitrárias, as distribuições espectrais e angulares da potência da RS são dadas de forma analítica exata. Tratamos separadamente partículas escalares (bósons) e com spin /2 (elétrons). Atenção especialé dadaàs transições particulares, a saber, as transições ao primeiro estado excitado e estado fundamental.É mostrado que os componentes de polarização linear da radiação de elétron se trocam em relaçãoà orientação de spin quando o elétron passa para o estado fundamental.Este fato pode ser considerado como uma comprovação analítica para a presenca de π-componente da radiação quântica no plano de movimento.Analisamos minuciosamente a radiação emitida pela partícula fracamente excitada. Várias funções são introduzidas para descrever a evolução dos perfis de distribuições angulares para sistemas de dois e três níveis. Para transições quânticas do primeiro estado excitado ao estado fundamental a análise comparativa da radiação de bósons e elétronsé realizada, e isso ajuda a estimar a influência de spin e sua direção sobre as características da RS. A radiação de elétrons não polarizadosé considerada separadamente. Observando o comportamento dosângulos efetivos,é fácil perceber a inconsistência da conclusão clássica bem conhecida sobre a concentração de radiação ultra-relativista total no plano do movimento.Mostramos que osângulos efetivos da radiação quântica tendem aos valores finitos e não desaparecem na região ultrarelativista.Uma revisão breve da teoria clássica inclui a introdução do conceito novo, istoé a n-parte do espectro.A fim de encontrar um análogo clás...

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Quantum deformation of the angular distributions of synchrotron radiation. Emission from particles in the first excited state

Cited by 5 publications

References 18 publications

New results in fundamental theory of synchrotron radiation

New results in fundamental theory of synchrotron radiation

Effective spectrum width of the synchrotron radiation

Spectral and angular distributions of synchrotron radiation in quantum theory

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