THE QUANTUM CORRECTIONS ON THE THEORY OF TRANSITION RADIATION

ZHEN Yi; PI Bo; NI Guang-Jiong

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(3) : 347-354

THE QUANTUM CORRECTIONS ON THE THEORY OF TRANSITION RADIATION

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Abstract：
A Scheme of quantum treatment for transition radiation is proposed. The Fresnel coefficients are adopted to describe the stationary states of electromagnetic fields near the interface between two mediums before a canonical field quantization procedure can be performed. Then an usual perturbation approach in field theory leads to the general expressions of radiation intensity in two different polarizations. The second order quantum corrections are ascribed to the existence of electron spin. Some concrete formulas for the cases of electron or monopole acrossing a metal surface are presented as well.

References

[1]

J. D. Jackson, Classical filectrodynamics (John Wiley Sons. Inc, 1975).[2] 蔡圣善, 朱耘, 经典电动力学(复旦大学出版社, 1985).[3] V. L. Ginzburg and I. M. Frank, Zhetf (жзтФ) 16(1946), 15.[4] L. C: Yuan et al., Phys. Lett., 31B(1970), 603; A. I. Alikhanian et al, Phys. Rev. Lett、 30(1973), 109.[5] F. Harris et al., Nucl. Inst. and Meth., 107(1973), 413; M. L. Cherry et al., ibid., 115(1974), 141.[6] A. N. Chu et al., J. Appl. Phys., 51(1980), 1290.[7] V. L. Ginzburg and V. N. Tsytovich, Phys. Rep., 49(1979), 1.[8] V. M. Zakhartsov and Yu. M. Loskutov, Phys. Bull. ofMouskov Univ, 37(1982), 112.[9] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanic, (McGraw-Hill, Inc., 1964) 114.[10] J. Dooher, Phys. Rev., 3(1971), 2652.[11] 吴长勤、宋皓、倪光炯, 高能物理与核物理, S(1984),688,

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ZHEN Yi, PI Bo and NI Guang-Jiong. THE QUANTUM CORRECTIONS ON THE THEORY OF TRANSITION RADIATION[J]. Chinese Physics C, 1987, 11(3): 347-354.

ZHEN Yi, PI Bo and NI Guang-Jiong. THE QUANTUM CORRECTIONS ON THE THEORY OF TRANSITION RADIATION[J]. Chinese Physics C, 1987, 11(3): 347-354. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

THE QUANTUM CORRECTIONS ON THE THEORY OF TRANSITION RADIATION

Corresponding author: ZHEN Yi,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-06-05

Abstract:

A Scheme of quantum treatment for transition radiation is proposed. The Fresnel coefficients are adopted to describe the stationary states of electromagnetic fields near the interface between two mediums before a canonical field quantization procedure can be performed. Then an usual perturbation approach in field theory leads to the general expressions of radiation intensity in two different polarizations. The second order quantum corrections are ascribed to the existence of electron spin. Some concrete formulas for the cases of electron or monopole acrossing a metal surface are presented as well.