Ju l 2 00 9 Quantum linear Boltzmann equation

@inproceedings{Vacchini2009JuL2,
  title={Ju l 2 00 9 Quantum linear Boltzmann equation},
  author={Bassano Vacchini and Klaus Hornberger},
  year={2009}
}
We review the quantum version of the linear Boltzmann equation, which describes in a non-perturbative fashion, by means of scattering theory, how the quantum motion of a single test particle is affected by collisions with an ideal background gas. A heuristic derivation of this Lindblad master equation is presented, based on the requirement of translation-covariance and on the relation to the classical linear Boltzmann equation. After analyzing its general symmetry properties and the associated… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 186 references

Quantum master equation of a particle in a gas environment

  • L. Diósi
  • Europhys. Lett. 30
  • 1995
Highly Influential
16 Excerpts

Monitoring derivation of the quantum linear Boltzmann equation

  • K. Hornberger, B. Vacchini
  • Phys. Rev. A 77
  • 2008
Highly Influential
7 Excerpts

Search for a border between classical and quantum worlds

  • R. Alicki
  • Phys. Rev. A 65
  • 2002
Highly Influential
7 Excerpts

The emergence of classical properties through interaction with the environment

  • E. Joos, H. D. Zeh
  • Z. Phys. B: Condens. Matter 59
  • 1985
Highly Influential
11 Excerpts

Theory and application of the Boltzmann equation

  • C. Cercignani
  • Scottisch Academic Press, Edinburgh
  • 1975
Highly Influential
4 Excerpts

An introduction to probability theory and its applications

  • W. Feller
  • Vol. II, John Wiley & Sons Inc., New York
  • 1971
Highly Influential
5 Excerpts

Quantum and classical features in the explanation of collisional decoherence

  • B. Vacchini
  • J. Mod. Opt. 51
  • 2004
Highly Influential
4 Excerpts

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