Skip to main content
Log in

Semi-classical quantum theory for cyclotron radiation

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

A semi-classical quantum theory of the cyclotron radiation of the nonrelativistic thermal electrons in a very strong magnetic field is presented. The basic formulae of the absorption coefficient of cyclotron resonancek vand the absorption (scattering) cross-section of cyclotron resonance σ v have been derived under the quadrupole approximation. σ v is an important quantity in the study of the “magnetic inverse-Compton scattering”. It is shown that σ v is greatly larger than the Thomson cross-sectron σT, which is important in discussing the magnetic inverse-Compton scattering of the relativistic electrons in a very strong magnetic field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Trumper, J., Trumper, J., Pietsch, W.et al., Evidence for strong cyclotron line emission in the hard X-ray spectrum of her-cules X-1,Astrophys. J., 1978, 219:L105.

    Article  Google Scholar 

  2. Harding, A. K., Preece, R. D., Cyclotron scattering lines in Gamma-ray Burst spectra,Astrophys. J., 1989, 338:L21.

    Article  Google Scholar 

  3. Xia, X. Y., Qiao, G. J.. Wu. X. J.et al., Inverse Compton scattering in strong magnetic fields and its possible application to pulsar emission,Astron. Astrophys., 1985, 152:93.

    Google Scholar 

  4. Canuto, V., Lodenquai, J., Ruderman, M., Thomson scattering in strong magnetic field,Phys. Rev., 1971, D3:2303.

    Google Scholar 

  5. Daugherty, J. K., Ventura, J., Absorption of radiation by electrons in intense magnetic fields,Phys. Rev., 1978, D18: 1053.

    Google Scholar 

  6. Herold, H., Compton and Thomson scattering in strong magnetic fields,Phys. Rev., 1979, D19:2868.

    Google Scholar 

  7. Bussard, R. W., Alexander, S. B., Meszaros, P., One and two-photon compton scattering in strong magnetic fields,Phys. Rev., 1986, D34:440.

    Google Scholar 

  8. Daugherty, J. K., Harding, A. K., Compton scattering in strong magnetic fields,Astrophys. J., 1986, 309:362.

    Article  Google Scholar 

  9. Latal, H. G., Cyclotron radiation in strong magnetic fields,Astrophys. J., 1986, 309:372.

    Article  Google Scholar 

  10. Dermer, C. D., Compton scattering in strong magnetic fields and the paucity of X-ray in Gamma-ray Burst spectra,Astrophys. J., 1989, 347:L13.

    Article  Google Scholar 

  11. Harding, A. K., Daugherty, J. K., Cyclotron resonant scattering and absorption,Astrophys. J., 1991, 374:687.

    Article  Google Scholar 

  12. Zeng Jinyan,Quantum Mechanism (in Chinese), Vols. 1 and 2, Bejing: Science Press, 1989.

    Google Scholar 

  13. You Junhan,Radiation Mechanism in Astrophysics, Beijing: Science Press, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China and the Climbing Plan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, J., Deng, J., Xu, Y. et al. Semi-classical quantum theory for cyclotron radiation. Sci. China Ser. A-Math. 40, 879–896 (1997). https://doi.org/10.1007/BF02878929

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02878929

Keywords

Navigation