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Quantum Physics
Understanding Quantum Numbers and Symmetry Algebra for Keplerian Motion
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[QUOTE="gerald V, post: 5461261, member: 586107"] so(4) is the symmetry algebra of Keplerian motion. Its structure is well known. The principal quantum number n must be a positive integer. The associated Casimir operator has eingenvalues n^2 - 1 . The secondary quantum number j is integer and can take any value from zero to n-1. The eigenvalue of the "angular momentum squared" operator J^2 is j(j+1). Here my question: How is this for so(2,2) [U]over the field of real numbers[/U]? Which values can the principal and the secondary quantum numbers take and which are the eigenvalues of the associated operators (Casimir operator; operator corresponding to J^2)? Many thanks in advance for any help! [/QUOTE]
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Physics
Quantum Physics
Understanding Quantum Numbers and Symmetry Algebra for Keplerian Motion
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