Global operators forfunctions: Extension to scattering states and the inclusion of spin
- 1 August 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 20 (2), 424-441
- https://doi.org/10.1103/physreva.20.424
Abstract
The identities of Hiller, Sucher, and Feinberg for the evaluation of bound-state matrix elements of -function operators, such as and , are extended to scattering states. It is shown how technical difficulties encountered in the application of the scattering-state identities can be overcome, including infrared singularities which arise if Coulomb forces are present and the velocity of the incident particle is small. Both the scattering and bound-state identities are generalized to include spin-dependent contact interactions and spin-dependent Hamiltonians. The possibility of using the identities to improve the accuracy of calculations of interest for diverse physical phenomena, ranging from positron annihilation to hyperfine structure, is stressed.
Keywords
This publication has 4 references indexed in Scilit:
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- New techniques for evaluating parity-conserving and parity-violating contact interactionsPhysical Review A, 1978
- Simple bounds to the atomic one-electron density at the nucleus and to expectation values of one-electron operatorsJournal of Physics B: Atomic and Molecular Physics, 1978
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