On evolutionary processes in large N quantum mechanics

Details On evolutionary processes in large N quantum mechanics On evolutionary processes in large N quantum mechanics

2009-10-15

arxiv.org/abs/0910.2914v1

JHEP 0911:069,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1088/1126-6708/2009/11/069

Equations of motion of large N quantum mechanics are solved for infinite N in the case of unbroken global O(N) symmetry. It is shown that the only correction to the action is a change in the potential. All characteristics of the motion (frequencies of oscillations, times of rolling, a phase portrait etc.) can be computed by means of a classical mechanics for the corrected potential. In particular, a tunneling in the system is absent.

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