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Unformatted text preview: . Thus the harmonic oscillator is the simplest model for the vibrational motion of the atoms in a diatomic molecule, if we consider the two atoms as point masses and the bond between them as a spring. The onedimensional Schrödinger equation becomes (119) After some effort, the eigenfunctions are (120) where is the Hermite polynomial of degree , and and are defined by (121) The eigenvalues are (122) with ....
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 Fall '10
 LauraChoudry
 Chemistry, Atom, Force, Mass

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