研究目的
Investigating the scaling relations with respect to the nuclear charge for the time-dependent Dirac equation describing hydrogenlike ions subject to laser fields within the dipole approximation, and validating these relations for multiphoton ionization processes.
研究成果
The approximate scaling relations introduced for the TDDE are validated for multiphoton ionization of hydrogenlike ions, capturing the dominant relativistic effects. The remaining differences allow for the identification and quantification of additional relativistic effects, providing insights into light-matter interaction in extreme conditions.
研究不足
The study is limited to the dipole approximation and does not account for spatial properties of the laser pulse. The scaling relations are approximate and do not capture all relativistic effects, especially for very high nuclear charges.
1：Experimental Design and Method Selection:
The study involves solving the time-dependent Dirac equation (TDDE) for hydrogenlike ions in laser fields within the dipole approximation. The methodology includes the use of scaling laws to relate the behavior of ions with different nuclear charges.
2：Sample Selection and Data Sources:
Hydrogenlike ions with nuclear charges ranging from Z = 1 to 92 are considered. The laser parameters are scaled according to the derived relations.
3：List of Experimental Equipment and Materials:
The study is theoretical, involving numerical solutions of the TDDE. No physical equipment is used.
4：Experimental Procedures and Operational Workflow:
The TDDE is solved numerically for various ions and laser parameters to investigate the validity of the scaling relations. The ionization probabilities are calculated and compared.
5：Data Analysis Methods:
The results are analyzed to assess the agreement between the scaled solutions and to identify and quantify additional relativistic effects.
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