Sytcheva A. Dynamics of Gaussian Wave Packets.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U000792

Thesis Registration Form

0402U000792.pdf

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

12-03-2002

Specialized Academic Board

Д 26.001.08

Taras Shevchenko National University of Kyiv

Essay

The dissertation is devoted to the study of classical motion of nucleon wave packets in the field of nuclear forces. For solutions antisymmetrized molecular dynamics (AMD) was used. In this framework there were obtained classical equations of motion for two noninteracting neutrons, for neutrons with Gaussian interaction. For two wave packets with Gaussian interaction of different radii and depth the ground state energies and wave functions were obtained through AMD and compared with those obtained via exact quantum technique in order to determine region of applicability of AMD. Overlaps of AMD wave functions were treated as density matrices in Fock-Bargmann representation. The effect of antysimmetrization on them was illustrated on two and three particle systems. The correspondence with phase trajectories was shown. Also the mechanism of wave spreading, based on collective monopole vibrations was introduced in AMD in order to extend its application on nuclear reactions that are accompanied with systembreak-up.

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