Partial dynamical symmetry in molecules

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.5644· OSTI ID:656087

Ping, J ^[1]; Chen, J ^[2]

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1. Department of Physics, Nanjing Normal University, Nanjing, 210097, Peoples Republic of (China)
2. Department of Physics, Nanjing University, Nanjing, 210008, Peoples Republic of (China)

It is shown that any Hamiltonian involving only one- and two-bond interactions for a molecule with n bonds and having a point group P as its symmetry group may have the S{sub n}{contains}P partial dynamical symmetry, i.e., the Hamiltonian can be solved analytically for a part of the states, called the unique states. For example, the XY{sub 6} molecule has the S{sub 6}{contains}O{sub h} partial dynamical symmetry. The model of Iachello and Oss for n coupled anharmonic oscillators is revisited in terms of the partial dynamical symmetry. The energies are obtained analytically for the nine unique levels of the XY{sub 6} molecule and the structures of the eigenstates are disclosed for the first time, while for non-unique states they are obtained by diagonalizing the Hamiltonian in the S{sub 6}{contains}O{sub h} symmetry adapted basis with greatly reduced dimension. {copyright} 1997 Academic Press, Inc.

• OSTI ID: 656087
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 255; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANHARMONIC OSCILLATORS
CASIMIR OPERATORS
DYNAMICAL GROUPS
EIGENSTATES
HAMILTONIAN FUNCTION
IRREDUCIBLE REPRESENTATIONS
MOLECULAR STRUCTURE
MOLECULES
O GROUPS
SYMMETRY GROUPS