Synchrotron Radiation Theory and Its Development

Bordovitsyn, V. A.

doi:10.1142/3492

Cited by 71 publications

(94 citation statements)

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“…Namely, classical theory predicts that the maximum of radiation shifts to higher frequencies as ∼ γ 3 (see e.g. [13,25,79]) while the velocity of particle tends to reach ultrarelativistic domain. Nothing similar can we expect in quantum theory since quantum spectrum is finite and the number of emitted harmonic cannot exceed the number of initial energy level n. Still, we can set a problem of finding the conditions (if such conditions exist) for the maximum of radiation to lie at the highest harmonic of quantum spectrum.…”

Section: 9mentioning

confidence: 99%

“…Although it is a standard labelling method [20,25], it is convenient to use the following table in order to avoid confusion. The velocity can be given by 14) where the amplitudes v 2 = (⃗ v · ⃗ e 2 ) and v 3 = (⃗ v · ⃗ e 3 ).…”

Section: Spectral and Angular Distributions Of Synchrotron Radiation mentioning

confidence: 99%

“…The radius of orbit R may be defined in terms of the energy of the moving particle (E) and the intensity of the magnetic field ( ⃗ H = H ⃗ j) [25,33,87]…”

Section: Spectral and Angular Distributions Of Synchrotron Radiation mentioning

confidence: 99%

“…At present, theory of SR is a well-developed branch of theoretical physics, there are lots of publications on related topics. Apart from well-known monographs [18][19][20][21][22][23][24][25][26][27][28][29][30][31], papers and reviews [32][33][34][35][36][37][38][39][40][41][42][43], they appear often in laboratory reports and proceedings of workshops.…”

Section: Contents Introductionmentioning

confidence: 99%

“…In quantum theory one may chose the potentials that would provide the vector of external field intensity to be ⃗ H = (0, 0, H) and continue using the term "plane of motion" for xy. The concept of radius of circular orbit can be transferred to the quantum picture as well (see [25]), but here we do not go into details about it. This short explanation is supposed to help the reader to avoid confusion and to serve an apology for the abuse of terminology.…”

Section: Contents Introductionmentioning

confidence: 99%

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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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Section: 9mentioning

confidence: 99%

Section: Spectral and Angular Distributions Of Synchrotron Radiation mentioning

confidence: 99%

“…The radius of orbit R may be defined in terms of the energy of the moving particle (E) and the intensity of the magnetic field ( ⃗ H = H ⃗ j) [25,33,87]…”

Section: Spectral and Angular Distributions Of Synchrotron Radiation mentioning

confidence: 99%