Abstract
A self-contained discussion of nonrelativistic quantum mechanical potential scattering in two dimensions is presented. The discussion includes, among other topics, partial wave decomposition in coordinate and momentum space, Lippmann–Schwinger integral equations of scattering for the scattering wavefunction and the transition operator, optical theorem, and the unitarity relation for the transition operator. The present definition of the scattering amplitude in terms of the asymptotic wavefunction differs from the usual definition. The present definition has certain advantages, for example, in writing the optical theorem and in studying the analytical properties of the scattering amplitude.
Keywords
PhysicsUnitarityScattering amplitudeOptical theoremScatteringWave functionScattering theoryScattering lengthQuantum mechanicsPosition and momentum spaceOperator (biology)Coordinate spaceMomentum (technical analysis)Quantum electrodynamicsClassical mechanicsMathematics
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Publication Info
- Year
- 1986
- Type
- article
- Volume
- 54
- Issue
- 4
- Pages
- 362-367
- Citations
- 242
- Access
- Closed
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Cite This
Sadhan K. Adhikari
(1986).
Quantum scattering in two dimensions.
American Journal of Physics
, 54
(4)
, 362-367.
https://doi.org/10.1119/1.14623
Identifiers
- DOI
- 10.1119/1.14623