Quick search Find article
Quick search
Find article

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

Zheng Dun-Sheng and Wu Guo-Zhen

Show affiliations


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 least ``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.


PACS

03.65.Fd Algebraic methods

33.15.Mt Rotation, vibration, and vibration-rotation constants

Subjects

Atomic and molecular physics

Quantum information and quantum mechanics

Dates

Issue 4 (April 2002)

Received 5 July 2001



  1. Significance of the Formal Quantum Number in the Highly Excited Vibration of the DCN molecule

    Zheng Dun-Sheng and Wu Guo-Zhen 2002 Chinese Phys. Lett. 19 466

  2. Can quantum information be cloned in Kerr black holes?

    Xian-Hui Ge and You-Gen Shen 2004 Class. Quantum Grav. 21 1941

  3. Collider signals of gravitational fixed points

    JoAnne L. Hewett and Thomas G. Rizzo JHEP12(2007)009

  4. On the reduction of the multidimensional stationary Schrödinger equation to a first-order equation and its relation to the pseudoanalytic function theory

    Vladislav V Kravchenko 2005 J. Phys. A: Math. Gen. 38 851

  5. An introduction to conformal Ricci flow

    Arthur E Fischer 2004 Class. Quantum Grav. 21 S171

  6. Calculation of multipole transitions at the Fe K pre-edge through p-d hybridization in the Ligand Field Multiplet model

    M.-A. Arrio et al 2000 Europhys. Lett. 51 454

  7. Infrared emittance of Cux–Ni1−x alloys

    K Gelin and E Wäckelgård 2004 J. Phys.: Condens. Matter 16 833

  8. Comment on ``The black hole final state''

    Daniel Gottesman and John Preskill JHEP03(2004)026

  9. Development and validation of a processing map for zirconium alloys

    S V S Narayana Murty et al 2002 Modelling Simul. Mater. Sci. Eng. 10 503

  10. Spot size and Guoy phase invariant telescope for auto-alignment of resonant cavities

    Jong H Chow et al 2004 Class. Quantum Grav. 21 S909

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.