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arXiv · 0910.2914

On evolutionary processes in large N quantum mechanics

Vadim Asnin
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Abstract

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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Vadim Asnin. 2009-10-15. On evolutionary processes in large N quantum mechanics. https://doi.org/10.1088/1126-6708%2F2009%2F11%2F069

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