Algebraic Calculation of Nonrelativistic Coulomb Phase Shifts
- 1 September 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (9) , 1858-1860
- https://doi.org/10.1063/1.1705429
Abstract
It is observed that the in and out states of a particle of energy k 2/2m, entering or leaving a Coulomb field along the +z direction, are eigenstates of L 3 with eigenvalue 0, and of A 3, the third component of the Runge‐Lenz vector, with eigenvalues ±α + ik/m, respectively. From this characterization and the commutation relations of the symmetry group, the phase shifts are easily obtained algebraically.Keywords
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