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    Graduate Why are eigenstates symmetric or antisymmetric for symmetric potentials?

    Why is the second bit true?
  2. M

    Graduate Why are eigenstates symmetric or antisymmetric for symmetric potentials?

    Hi, Can anyone help me to understand the following please? If a potential is symmetric does this mean that the eigenstates are either symmetric or antisymmetric? Is the ground state always symmetric and the first excited state always antisymmetric? Thanks!
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