Table 1 Angle integrated ionization probabilities \(d\!P/d\!E\) for specific energies, either calculated with length or velocity form of the dipole operator. Column 1: energy of the emitted electron, column 2: \(d\!P/d\!E\) calculated in length form, column 3: in velocity form.   The elctrical pulse is specified through \(E(t) = E_0 \; \sin (\omega t)\) , \(E_0=1, \; \omega =2\) and a duration \(T = \frac{2\pi }{\omega } = \pi\).

From: J-Matrix time propagation of atomic hydrogen in attosecond fields

Energy

\(d\!P/d\!E\) Length form

\(d\!P/d\!E\) Velocity form

1.0 E-7

6.812795733 E-1

6.814726531 E-1

1.0

4.991422878 E-2

4.991538581 E-2

2.0

1.120858896 E-2

1.121393579 E-2

3.0

2.706846038 E-3

2.705325366 E-3

4.0

5.470143966 E-4

5.458633989 E-4

5.0

9.416780915 E-5

9.510984557 E-5

6.0

1.650235575 E-5

1.606840606 E-5

7.0

3.542347196 E-6

3.577486619 E-6

8.0

9.787512464 E-7

8.938820317 E-7