ANALYSIS OF THE $(\nu_{2}, \nu_{4})$ BANDS OF SPHERICAL TOP MOLECULES. I. MATRIX ELEMETS OF THE VIBRATIONAL-ROTATIONAL $HAMILTONIAN^{*}$

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1980

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Ohio State University

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Abstract

We have developed a new method for calculating energy eigenvalues and eigenfunction-rotational bands $\nu_{2}$ and $\nu_{4}$. The basis functions are products of rigid rotor and five-dimensional harmonic oscillator eigen-functions. Explicit expressions for the matrix elements of vibrational operators are derived.

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$^{*}$Research supported by the National Science Foundation and the National Aeronautics and Space Administration. $^\dag$Senior Research Associate supported by a grant from the National Science Foundation to The University of Tennessee, Knoxville during 1977-78. $^\ddag$U.S. National Academy of Sciences Senior Research Associate at the NASA Goddard Space Center. Greenbelt. MD during 1977-78.
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