Spacings distribution for highly excited vibrational states: Role of dynamical symmetry

I. Benjamin*, V. Buch, R. B. Gerber, R. D. Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

Statistical analysis of energy level spacings is reported for models of O3, H2O, CO2 and HCN. The levels and their dynamical symmetries are determined by the algebraic approach. Specifically we use Hamiltonians with partial symmetry breaking which therefore have an incomplete set of constants of the motion. Wigner-like nearest-neighbour distributions are found for such non-chaotic systems. In particular, counting of states of the same dynamical symmetry type leads to a Wigner-like distribution. The results suggest that experimental level spacing distributions can serve as a signature for the presence of dynamical (i.e. not necessarily geometrical) symmetries in molecular systems.

Original languageEnglish
Pages (from-to)515-521
Number of pages7
JournalChemical Physics Letters
Volume107
Issue number6
DOIs
StatePublished - 15 Jun 1984

Fingerprint

Dive into the research topics of 'Spacings distribution for highly excited vibrational states: Role of dynamical symmetry'. Together they form a unique fingerprint.

Cite this