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... for the fact that the orbital angular momentum weight is NOT a semi)integer positive number, but an integer.
Is there such a reason...? I've never seen it in some book. I know there are other reasons for which we conclude that "l" MUST be an integer, see Sakurai's thoughts attached.
However, orbital angular momentum is a type of angular momentum, the latter which, at quantum level, is the selfadjoint generator of the unitary group representations of the rotation symmetry group [itex] SO(3) [/itex].
So there has to be some grouptheoretical reason for which "l" must be an integer and NOT a semiinteger, soe other that SturmLiouville theory of PDEs, etc...(see Sakurai)
Daniel.
Is there such a reason...? I've never seen it in some book. I know there are other reasons for which we conclude that "l" MUST be an integer, see Sakurai's thoughts attached.
However, orbital angular momentum is a type of angular momentum, the latter which, at quantum level, is the selfadjoint generator of the unitary group representations of the rotation symmetry group [itex] SO(3) [/itex].
So there has to be some grouptheoretical reason for which "l" must be an integer and NOT a semiinteger, soe other that SturmLiouville theory of PDEs, etc...(see Sakurai)
Daniel.
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