Characteristics of electrons moving in a magnetic field at low energy levels

Ternov, I. M.; Багров, В. Г.; Dorofeev, O. F.

doi:10.1007/bf00822467

Cited by 8 publications

(12 citation statements)

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“…The power of the polarization components W e (+) s (ζ; β) emitted by an electron in the upper half plane 0 θ π/2 can be represented similarly to (9), (10),…”

Section: Spinor Particle (Electron)mentioning

confidence: 99%

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

et al. 2012

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The exact expressions for the characteristics of synchrotron radiation of charged particles in the first excited state are obtained in analytical form using quantum theory methods. We performed a detailed analysis of the angular distribution structure of radiation power and its polarization for particles with spin 0 and 1/2. It is shown that the exact quantum calculations lead to results that differ substantially from the predictions of classical theory.

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“…The power of the polarization components W e (+) s (ζ; β) emitted by an electron in the upper half plane 0 θ π/2 can be represented similarly to (9), (10),…”

Section: Spinor Particle (Electron)mentioning

confidence: 99%

“…For example, in [8,9] quantum theory is used to study the SR of non-relativistic particles at low energy levels. It was shown that in the non-relativistic region the influence of quantum corrections is more noticeable the smaller the initial energy level of the particles.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2012

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“…Ternov, Bagrov & Dorofejev (TB&D) computed the spin flip rates for low excitations assuming a magnetic field which is weak compared to the critical field strength B cr = m 2 e /|e| ≈ 4.4 GT which yields an equilibrium spin polarization of n ↓ − n ↑ n ↓ + n ↑ = (m e + 2B|e|N ) 2 − 4aB 2 |e| 2 N 2 (m e + 2B|e|N ) 2 + 4aB 2 |e| 2 N 2 (1) with B the magnetidc field strength, m e the electron mass, N the principal quantum number of the state in question and e the electron's charge. The dimensionless parameter a is introduced by TB&D with the explanation 'where the numerical factor a does not exceed unity' [13]. Because they give no further indication about the * koen@pks.mpg.de † mafelix@pks.mpg.de magnitude of a, we will treat it as a free parameter to be fitted.…”

Section: Introductionmentioning

confidence: 99%

Radiative spin polarization of electrons in an ultrastrong magnetic field

2019

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We calculate the spin flip rates for an electron in a homogeneous magnetic field for low excitations (N ≤ 5). Our results apply for all field strengths including those beyond the critical field strength at which the spin contributes as much to the electron's energy as its rest mass. Existing approximations either assume that the electron is in a sufficiently highly excited state such that its orbit can be assumed to be classical or the magnetic field be weak compared to the critical field. The regime of high mangetic field strength and low excitations is therefore poorly covered by them. By comparing our calculations to different approximations, we find that in the high field, low excitation regime the spin flip rates are lower and the equilibrium spin polarization is less pure then one would get by naively applying existing approximations in this regime.

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“…Thus, the system (2.51) implies the possibility to write c 1,2 in terms of c 3,4 53) and taking into account the normalization (2.49), we get…”

Section: (237)mentioning

confidence: 99%

“…it was used for the studies of the properties of particular materials, etc. As a result, quantum theory has received undeservedly little attention (the reader may find some information on quantum theory and useful examples of the manifestation of quantum corrections in [52][53][54][55][56][57]). …”

Section: Contents Introductionmentioning

confidence: 99%

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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Characteristics of electrons moving in a magnetic field at low energy levels

Cited by 8 publications

References 1 publication

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

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

Radiative spin polarization of electrons in an ultrastrong magnetic field

Spectral and angular distributions of synchrotron radiation in quantum theory

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