# Interferences of real trajectories and the emergence of quantum features in electron-atom scattering in a strong laser field

## Abstract

Using the example of electron-atom scattering in a strong laser field, it is shown that the oscillatory structure of the scattered electron spectrum can be explained as a consequence of the interference of the real electron trajectories in terms of Feynman's path integral. While in previous work on quantum-orbit theory the complex solutions of the saddle-point equations were considered, we show here that for the electron-atom scattering with much simpler real solutions a satisfactory agreement with the strong-field-approximation results can be achieved. Real solutions are applicable both for the direct (low-energy) and the rescattering (high-energy) plateau in the scattered electron spectrum. In between the plateaus and beyond the rescattering cutoff good results can be obtained using the complex (quantum) solutions and the uniform approximation. The interference of real solutions is related to the recent attosecond double-slit experiment in time.

- Authors:

- Federal Meteorological Institute, Bardakcije 12, 71000 Sarajevo (Bosnia and Herzegowina)
- Faculty of Science, University of Sarajevo, Zmaja od Bosne 35, 71000 Sarajevo (Bosnia and Herzegowina)
- (Germany)

- Publication Date:

- OSTI Identifier:
- 20786950

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.73.033413; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; APPROXIMATIONS; ELECTRON SPECTRA; ELECTRON-ATOM COLLISIONS; ELECTRONS; INTERFERENCE; LASER RADIATION; MATHEMATICAL SOLUTIONS; PATH INTEGRALS; RESCATTERING

### Citation Formats

```
Cerkic, A., Milosevic, D. B., and Max-Born-Institut, Max-Born-Strasse 2a, 12489 Berlin.
```*Interferences of real trajectories and the emergence of quantum features in electron-atom scattering in a strong laser field*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.0.

```
Cerkic, A., Milosevic, D. B., & Max-Born-Institut, Max-Born-Strasse 2a, 12489 Berlin.
```*Interferences of real trajectories and the emergence of quantum features in electron-atom scattering in a strong laser field*. United States. doi:10.1103/PHYSREVA.73.0.

```
Cerkic, A., Milosevic, D. B., and Max-Born-Institut, Max-Born-Strasse 2a, 12489 Berlin. Wed .
"Interferences of real trajectories and the emergence of quantum features in electron-atom scattering in a strong laser field". United States.
doi:10.1103/PHYSREVA.73.0.
```

```
@article{osti_20786950,
```

title = {Interferences of real trajectories and the emergence of quantum features in electron-atom scattering in a strong laser field},

author = {Cerkic, A. and Milosevic, D. B. and Max-Born-Institut, Max-Born-Strasse 2a, 12489 Berlin},

abstractNote = {Using the example of electron-atom scattering in a strong laser field, it is shown that the oscillatory structure of the scattered electron spectrum can be explained as a consequence of the interference of the real electron trajectories in terms of Feynman's path integral. While in previous work on quantum-orbit theory the complex solutions of the saddle-point equations were considered, we show here that for the electron-atom scattering with much simpler real solutions a satisfactory agreement with the strong-field-approximation results can be achieved. Real solutions are applicable both for the direct (low-energy) and the rescattering (high-energy) plateau in the scattered electron spectrum. In between the plateaus and beyond the rescattering cutoff good results can be obtained using the complex (quantum) solutions and the uniform approximation. The interference of real solutions is related to the recent attosecond double-slit experiment in time.},

doi = {10.1103/PHYSREVA.73.0},

journal = {Physical Review. A},

number = 3,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}