Nonlocal Potentials and Complex Angular Momentum Theory

Angular momentum and wave functions in monopole and related potentials.

In a three-dimensional context, it is shown how wave functions may be chosen from among the solutions of the Schrodinger equation in a consistent way without demanding single valuedness, but by imposing an invariance condition on the domain of certain given linear operators. This leads to multiple-valued wave functions in certain situations, but disallows unquantized monopoles and "unusual" ang...

Angular momentum dependence of complex fragment emission.

The angular momentum dependence of large fragment production in long lived reactions is studied by measurements of fragment cross sections from reactions with substantially different angular momentum distributions and the coincident y-ray multiplicity distributions. The results indicate that the primary l-wave distributions move to larger mean values and decrease in width and skewness with incr...

Angular Momentum

Rotations and Angular Momentum

2 Exercise. Prove it. ◦ In fact, as sophisticates can show you, on a complex space a linear operator which preserves all norms will also preserve all inner products. But the key thing is to remember is that a unitary operator preserves all inner products (and therefore all norms). • This is analogous to the fact that translations and rotations in ordinary three-dimensional space preserve distan...

Bases for spin systems and qudits from angular momentum theory

Spin bases of relevance for quantum systems with cyclic symmetry as well as for quantum information and quantum computation are constructed from the theory of angular momentum. This approach is connected to the use of generalized Pauli matrices (in dimension d) arising from a polar decomposition of the group SU2. Numerous examples are given for d = 2, 3 and 4.