Density Matrix Kinetic Equation Describing a Passage of Fast Atomic Systems Through Matter

Abstract

The quantum-mechanical consideration of a passage of fast dimesoatoms through matter is given. A set of quantum-kinetic equations for the density matrix elements describing their internal state evolution is derived. It is shown that probabilistic description of internal dynamics of hydrogen-like atoms is impossible even at sufficiently low energies because of the ``accidental'' degeneracy of their energy levels.

12 pages, LATEX, submitted to J. Phys. J

References in corpus (3)

• Energy loss in perturbative QCD
• Coherent and incoherent atomic scattering: Formalism and application to pionium interacting with matter
• Contribution of ${\alpha }^2$-terms to the total interaction cross sections of relativistic elementary atoms with atoms of matter

Cited by in corpus (5)

• Direct calculation of the probability of pionium ionization in the target
• Measurement of the $\pi K$ atom lifetime and the $\pi K$ scattering length
• Dynamics of the Pionium with the Density Matrix Formalism
• Trigonometric identities inspired by atomic form factor
• Transition of dimuonium through foil