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Green's functions of linear and three dimensional oscillators in a constant and homogeneous electromagnetic field

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Abstract

The retarded Green's functions are found for linear and three dimensional harmonic oscillators in constant and uniform electric and magnetic fields. These results are applied to the problem of the motion of wave packets of Gaussian shape.

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Literature cited

  1. 1.

    A. A. Sokolov, Introduction to Quantum Electrodynamics [in Russian], Fizmatgiz, Moscow (1958).

  2. 2.

    V. M. Dubner, Izv. VUZ. Fiz., No. 4, 167 (1966).

  3. 3.

    I. M. Ternov, V. G. Bagrov, and V. N. Zadorozhnyi, Izv. VUZ. Fiz., No. 4, 86 (1971).

  4. 4.

    C. G. Darwin, Proc. Roy. Soc.,117, 258 (1928).

  5. 5.

    I. I. Gol'dman and V. D. Krivchenkov, Collection of Problems in Quantum Mechanics [in Russian], Gostekhizdat, Moscow (1957).

  6. 6.

    R. P. Feynman, Rev. Mod. Phys.,20, 367 (1948).

  7. 7.

    R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, New York (1965).

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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 29–33, August, 1973.

In conclusion the authors thank A. A. Sokolov for a discussion of the obtained results.

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Kukanov, A.B., Naumov, N.D. Green's functions of linear and three dimensional oscillators in a constant and homogeneous electromagnetic field. Soviet Physics Journal 16, 1060–1063 (1973). https://doi.org/10.1007/BF00890456

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Keywords

  • Magnetic Field
  • Electromagnetic Field
  • Wave Packet
  • Harmonic Oscillator
  • Gaussian Shape