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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2012, 3 (1), P. 42–50

THE INFLUENCE FUNCTIONAL APPROACH FOR A DESCRIPTION OF THE NANOSYSTEMS DYNAMICS

Alexander Biryukov – Samara State University, Samara, Russia, the head of general and theoretical physics department, candidate of physico-mathematical sciences, professor, biryukov@ssu.samara.ru
Mark Shleenkov – Samara State University, Samara, Russia, postgraduate, shleenkov@list.ru

In the functional integration formalism and the influence functional approach we derive formulas, describing the evolution of the statistical density matrix of nanosystems in different representation. We find the explicit form of the quantized electromagnetic field influence functional. We present examples, which agree with the calculations in the framework of
perturbation theory.

Keywords: nanosystems in an electromagnetic field, the functional integration formalism, the influence functional approach.

UDC 530.145, 53.098

PACS 85.35.-p, 03.65.Yz

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