It is well known that the allowed wavefunctions for an N -electron system should be antisymmetric with respect to the permutation of any pair of electron labels. On the other hand, the Hamiltonian for such a system is invariant under any permutation of electron labels and, consequently, its eigenfunctions are the basis for the irreducible representations of the symmetric group S N . Here, we investigate which symmetry species of the S N group are compatible with the antisymmetry principle. We illustrate the conclusions by means of simple N -particle one-dimensional models with harmonic interactions.

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原子和分子波函数中的允许排列对称性：简单示例

众所周知，对于任何电子标记对的排列，N-电子系统的允许波函数应该是反对称的。另一方面，该系统的哈密顿量在电子标记的任何排列下都是不变的，因此，其本征函数是对称基团SN不可约表示的基础。在这里，我们调查SN组的哪些对称物种与反对称原理兼容。我们通过具有谐波相互作用的简单N粒子一维模型来说明结论。