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DERIVING VIBRATING MODES OF SOME MULTIATOM MOLECULES BY VIRTUE OF THE INVARIANT EIGENOPERATOR METHOD

Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, P. R. China

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and

HAO WU

Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China

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https://doi.org/10.1142/S0217984905009377Cited by:9 (Source: Crossref)

Abstract

For some multiatom molecules, which are composed of three types of atoms alternating regularly located, we introduce the quantum mechanical Hamiltonian operator and then search for its vibrating modes by employing the "invariant eigenoperator" method. This method is simpler than the usual diagonalization method in many cases, and may have wider applications in solving some quantum mechanical lattice Hamiltonian models.

Keywords:

References

H.-Y. Fan and C. Li, Phys. Lett. A 321 (2004) 75; S.-C. Jing and H.-Y. Fan, Mod. Phys. Lett. A 20 (2005) 691; H.-Y. Fan and H. Wu, IL Nuovo Cimento B 119 (2004) 1105; H.-Y. Fan, H. Wu and X. F. Xu, Int. J. Mod. Phys. B 19 (2005) 4073 . Google Scholar
E. Schrödinger , Four Lectures on Wave Mechanics ( 1928 ) . Google Scholar
W. Heisenberg , The Physical Principles of the Quantum Theory ( Dover , New York , 1930 ) . Google Scholar