TY - JOUR
T1 - Spacings distribution for highly excited vibrational states
T2 - Role of dynamical symmetry
AU - Benjamin, I.
AU - Buch, V.
AU - Gerber, R. B.
AU - Levine, R. D.
PY - 1984/6/15
Y1 - 1984/6/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0005976795&partnerID=8YFLogxK
U2 - 10.1016/S0009-2614(84)85149-0
DO - 10.1016/S0009-2614(84)85149-0
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AN - SCOPUS:0005976795
SN - 0009-2614
VL - 107
SP - 515
EP - 521
JO - Chemical Physics Letters
JF - Chemical Physics Letters
IS - 6
ER -