含时完全可积哈密顿系统的几何量子化
Geometric quantization of time-dependent completely integrable Hamiltonian systems
摘要:
在瞬时紧致正则不变流形附近,将含时完全可积哈密顿系统关于含时作用角变量量子化。它的哈密顿量只依赖于作用量,并且具有与时间无关的可数能谱。
英文摘要:
A time-dependent completely integrable Hamiltonian system is quantized with respect to time-dependent action-angle variables near an instantly compact regular invariant manifold. Its Hamiltonian depends only on action variables, and has a time-independent countable energy spectrum.
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