Darmstadt 2008 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 13: Physik mit schweren Ionen

HK 13.8: Talk

Monday, March 10, 2008, 18:30–18:45, 2E

Semiclassical expansion of quantum characteristics for many-body potential scattering problem — •Mikhail Krivoruchenko, Christian Fuchs, Amand Faessler, and Boris Martemyanov — Institut für Theoretische Physik, Tübingen Universität, Baden-Württemberg

Quantum characteristics, which appear in the Heisenberg picture as the Weyl's symbols of operators of canonical coordinates and momenta, solve the evolution equations for symbols of other operators acting in the Hilbert space. To any fixed order in the Planck's constant, many-body potential scattering problem simplifies to a statistical-mechanical problem of computing an ensemble of quantum characteristics and their derivatives with respect to the initial canonical coordinates and momenta. The reduction to a system of ordinary differential equations pertains rigorously at any fixed order in the Planck's constant. We present semiclassical expansion of quantum characteristics and provide tools for calculation of average values of time-dependent physical observables and cross sections. The method of quantum characteristics admits the consistent incorporation of specific quantum effects, such as non-locality and coherence in propagation of particles, into the semiclassical transport models.

[1] M. I. Krivoruchenko, C. Fuchs, Amand Faessler, Annalen Phys. 16, 587 (2007).

[2] M. I. Krivoruchenko, Amand Faessler, J. Math. Phys. 48, 052107 (2007).

[3] M. I. Krivoruchenko et al., Phys. Rev. C 76, 059801 (2007).