Classical representation for quantum states of a particle in $\lambda z^{2m}$ potential

期刊论文
发表日期：

2026年7月17日

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Tasko P. Grozdanov,
Evgeni A. Solov’ev

摘要

A classical representation for quantum eigenstates of a particle bound in $\lambda z^{2m}$ $λ z^{2 m}$ $(\lambda >0, m=1,2,...)$ $(λ > 0, m = 1, 2, . . .)$ potentials is developed. It is represented by ensembles of classical trajectories with energy distributions that can take on negative values, for $m>1$ $m > 1$ have integrable singularities at zero energy and whose mean energies coincide with quantum eigenenergies. The corresponding Schrödinger equation in classical representation is analyzed.

Classical representation for quantum states of a particle in \(\lambda z^{2m}\) potential

摘要