中国物理B ›› 2020, Vol. 29 ›› Issue (4): 43205-043205.doi: 10.1088/1674-1056/ab75ce

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

Filling gap of combination of gauge and analytical method in KFR-like theory

Jian Li(李健), Feng-Cai Ma(马凤才)   

  1. 1 School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
    2 Department of Science, Shenyang Aerospace University, Shenyang 110036, China;
    3 Department of Physics, Liaoning University, Shenyang 110036, China
  • 收稿日期:2019-11-25 修回日期:2020-02-06 出版日期:2020-04-05 发布日期:2020-04-05
  • 通讯作者: Jian Li, Feng-Cai Ma E-mail:lijian@sau.edu.cn;fcma@lnu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11274149 and 11304185) and the Program of Shenyang Key Laboratory of Optoelectronic Materials and Technology, China (Grant No. F12-254-1-00).

Filling gap of combination of gauge and analytical method in KFR-like theory

Jian Li(李健)1,2, Feng-Cai Ma(马凤才)3   

  1. 1 School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
    2 Department of Science, Shenyang Aerospace University, Shenyang 110036, China;
    3 Department of Physics, Liaoning University, Shenyang 110036, China
  • Received:2019-11-25 Revised:2020-02-06 Online:2020-04-05 Published:2020-04-05
  • Contact: Jian Li, Feng-Cai Ma E-mail:lijian@sau.edu.cn;fcma@lnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11274149 and 11304185) and the Program of Shenyang Key Laboratory of Optoelectronic Materials and Technology, China (Grant No. F12-254-1-00).

摘要: Bauer recently presented a formula for the ionization rate of a hydrogen atom in a strong linearly polarized laser field [J. Phys. B 49 145601 (2016)]. He started from the Keldysh probability amplitude in the length gauge and utilized Reiss's method in the velocity gauge. Instead, according to the Reiss probability amplitude in the velocity gauge and Keldysh's derivation for the length gauge, we derive a formula for the ionization rate of a ground-state hydrogen atom or a hydrogen-like atom in a strong linearly polarized laser field. We compare the numerical results of the total ionization rate and the photoelectron energy distribution calculated from our formula with the results from Keldysh, Reiss, and Bauer. We find that the apparent discrepancies in the ionization rate are caused not only by different gauges, but also by different analytical methods used to derive the ionization rate.

关键词: velocity gauge, ionization rate, energy spectra

Abstract: Bauer recently presented a formula for the ionization rate of a hydrogen atom in a strong linearly polarized laser field [J. Phys. B 49 145601 (2016)]. He started from the Keldysh probability amplitude in the length gauge and utilized Reiss's method in the velocity gauge. Instead, according to the Reiss probability amplitude in the velocity gauge and Keldysh's derivation for the length gauge, we derive a formula for the ionization rate of a ground-state hydrogen atom or a hydrogen-like atom in a strong linearly polarized laser field. We compare the numerical results of the total ionization rate and the photoelectron energy distribution calculated from our formula with the results from Keldysh, Reiss, and Bauer. We find that the apparent discrepancies in the ionization rate are caused not only by different gauges, but also by different analytical methods used to derive the ionization rate.

Key words: velocity gauge, ionization rate, energy spectra

中图分类号:  (Multiphoton ionization and excitation to highly excited states)

  • 32.80.Rm
33.80.Rv (Multiphoton ionization and excitation to highly excited states (e.g., Rydberg states))