Significance of the Formal Quantum Number in the Highly Excited Vibration of the DCN Molecule

• 来源期刊: 中国物理快报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（4）
• 页码范围: 466-469
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

For the eigenstates of the highly excited vibration of the simple molecule DCN with two stretching modes, a classical approach in a multi-dimensional coset phase space is employed to show that the formal quantum numbers are related to regular or 1east "irregular" trajectories, with zero or least Lyapunov exponents, and are always located in the inner regions of the phase space. This property reflects that they are the approximate constants of motion. It is also demonstrated that formal quantum numbers correspond to the significant phase space density.