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Conversely, anti-symmetrization converts any function in n variables into an antisymmetric function.
This χ is the ultimate quantity of interest; it is an antisymmetric function of ω ω.
Traditionally, approximations for the many-body wave function as an antisymmetric function of one-body orbitals have been used, in order to have a manageable treatment of the Schrödinger equation.
For the case of a symmetric diatomic with nuclear spin quantum number I for each nucleus, there are symmetric spin functions and are antisymmetric functions for a total number of nuclear functions .