Adventures of the coupled Yang-Mills oscillators: I. Semiclassical expansion

@article{Matinyan2005AdventuresOT,
  title={Adventures of the coupled Yang-Mills oscillators: I. Semiclassical expansion},
  author={Sergei G. Matinyan and Berndt Muller},
  journal={Journal of Physics A},
  year={2005},
  volume={39},
  pages={45-59}
}
We study the quantum mechanical motion in the x2y2 potentials with n = 2, 3, which arise in the spatially homogeneous limit of the Yang–Mills (YM) equations. These systems show strong stochasticity in the classical limit ( = 0) and exhibit a quantum mechanical confinement feature. We calculate the partition function Z(t) going beyond the Thomas–Fermi (TF) approximation by means of the semiclassical expansion using the Wigner–Kirkwood (WK) method. We derive a novel compact form of the… 

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