Group Theory Applied to Chemistry by Arnout Jozef Ceulemans

Author:Arnout Jozef Ceulemans
Language: eng
Format: epub, pdf
Publisher: Springer Netherlands, Dordrecht

(5.2)

Hence, only the z-component is compatible with the existence of a dipole moment.

The principles of Neumann and Curie are of course based on classical physics. They remain valid for quantum systems but do not include typical quantum phenomena, such as the existence of electronic degeneracy or transitions between quantum states. A proper quantum description of molecular symmetry is thus required.

5.2 The Schrödinger Equation

According to quantum mechanics, the stationary states of a molecule are described by the eigenfunctions of the Hamiltonian, , corresponding to a quantized set of eigenvalues,

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