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Foundations of Physics

, Volume 46, Issue 9, pp 1199–1207 | Cite as

The Formalism for Energy Changing Rate of an Accelerated Atom Coupled with Electromagnetic Vacuum Fluctuations

  • Anwei Zhang
Article

Abstract

The structure of the rate of variation of the atomic energy for an arbitrary stationary motion of the atom in interaction with a quantum electromagnetic field is investigated. Our main purpose is to rewrite the formalism in Zhu et al. (Phys Rev D 73:107501, 2006) and to deduce the general expressions of the Einstein A coefficients of an atom on an arbitrary stationary trajectory. The total rate of change of the energy and Einstein coefficients of the atom near a plate with finite temperature or acceleration are also investigated.

Keywords

DDC formalism Einstein A coefficients Emission and absorption rate 

Notes

Acknowledgments

We would like to thank Y. Jin for a valuable discussion.

References

  1. 1.
    Welton, T.A.: Some observable effects of the quantum-mechanical fluctuations of the electromagnetic field. Phys. Rev. 74, 1157–1167 (1948)ADSCrossRefMATHGoogle Scholar
  2. 2.
    Compagno, G., Passante, R., Persico, F.: The role of the cloud of virtual photons in the shift of the ground state energy of a hydrogen atom. Phys. Lett. A 98, 253–255 (1983)ADSCrossRefGoogle Scholar
  3. 3.
    Ackerhalt, J.R., Knight, P.L., Eberly, J.H.: Radiation reaction and radiative frequency shifts. Phys. Rev. Lett. 30, 456–460 (1973)ADSCrossRefGoogle Scholar
  4. 4.
    Milonni, P.W., Smith, W.A.: Radiation reaction and vacuum fluctuations in spontaneous emission. Phys. Rev. A 11, 814–824 (1975)ADSCrossRefGoogle Scholar
  5. 5.
    Dalibard, J., Dupont-Roc, J., Cohen-Tannoudji, C.: Vacuum fulctuation and radiation reaction : identification of their respective contributions. J. Phys. (France) 43, 1617–1638 (1982)CrossRefGoogle Scholar
  6. 6.
    Dalibard, J., Dupont-Roc, J., Cohen-Tannoudji, C.: Dynamics of a small system coupled to a reservoir : reservoir fluctuations and self-reaction. J. Phys. (France) 45, 637–656 (1984)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Audretsch, J., Müller, R.: Spontaneous excitation of an accelerated atom: the contributions of vacuum fluctuations and radiation reaction. Phys. Rev. A 50, 1755–1763 (1994)ADSCrossRefGoogle Scholar
  8. 8.
    Passante, R.: Radiative level shifts of an accelerated hydrogen atom and the Unruh effect in quantum electrodynamics. Phys. Rev. A 57, 1590–1594 (1998)ADSCrossRefGoogle Scholar
  9. 9.
    Zhu, Z., Yu, H., Lu, S.: Spontaneous excitation of an accelerated hydrogen atom coupled with electromagnetic vacuum fluctuations. Phys. Rev. D 73, 107501 (2006)ADSCrossRefGoogle Scholar
  10. 10.
    Yu, H., Zhu, Z.: Spontaneous absorption of an accelerated hydrogen atom near a conducting plane in vacuum. Phys. Rev. D 74, 044032 (2006)ADSCrossRefGoogle Scholar
  11. 11.
    Audretsch, J., Müller, R., Holzmann, M.: Generalized Unruh effect and Lamb shift for atoms on arbitrary stationary trajectories. Class. Quant. Grav. 12, 2927–2938 (1995)ADSMathSciNetCrossRefMATHGoogle Scholar
  12. 12.
    Yu, H., Chen, J., Wu, P.: Brownian motion of a charged test particle near a reflecting boundary at finite temperature. J. High Energy Phys. 02, 058 (2006)ADSMathSciNetCrossRefGoogle Scholar
  13. 13.
    Boyer, T.H.: Thermal effects of acceleration through random classical radiation. Phys. Rev. D 21, 2137 (1980)ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Institute of PhysicsHunan Normal UniversityChangshaChina

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