Table 4 Reconstruction the coefficients and relative phases from blurred spectra.

From: Rebuilding the vibrational wavepacket in TRAS using attosecond X-ray pulses

k

 

\({c}_{0}^{{{{{{\rm{I}}}}}}}\)

\({c}_{1}^{{{{{{\rm{I}}}}}}}\)

\({c}_{2}^{{{{{{\rm{I}}}}}}}\)

\({c}_{3}^{{{{{{\rm{I}}}}}}}\)

\(\Delta {\varphi }_{10}^{{{{{{\rm{I}}}}}}}\)

\(\Delta {\varphi }_{20}^{{{{{{\rm{I}}}}}}}\)

\(\Delta {\varphi }_{30}^{{{{{{\rm{I}}}}}}}\)

1%

Three-state

0.8443

0.5269

0.1063

 

2.6740

− 0.7112

 

5%

Three-state

0.8440

0.5281

0.1081

 

2.7098

− 0.6697

 

1%

Four-state

0.8442

0.5270

0.1071

0.0105

2.7122

− 0.7289

2.5450

5%

Four-state

0.8437

0.5282

0.1091

0.0112

2.7465

− 0.6311

2.6542

 

Original

0.8431

0.5269

0.1075

0.0107

2.7276

− 0.7024

2.5790

  1. Same as in Table 2 but in three- and four-state models from Fig. 5 of the blurred spectra with instabilities k = 1% and 5%.
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