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Open Quantum Systems Decoherence
Quantum Simulation
Wave packets in quantum theory of collisions
arXiv
Authors: M. I. Shirokov
Year
2007
Paper ID
50248
Status
Preprint
Abstract Read
~2 min
Abstract Words
114
Citations
N/A
Abstract
Two methodological troubles of the quantum theory of collisions are considered. The first is the undesirable interference of the incident and scattered waves in the stationary approach to scattering. The second concerns the nonstationary approach to the theory of collisions of the type a+b→ c+d. In order to calculate the cross section one uses the matrix element <cd|S|ab> of the S-matrix. The element is proportional to δ-function expressing the energy conservation. The corresponding probability |< cd|S|ab>|2 contains δ2 which is mathematically senseless. The known regular way to overcome the difficulty seems to be unsatisfactory. In this paper, both the troubles are resolved using wave packets of incident particles.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2007 reference point for readers tracking recent quantum research.
- Two methodological troubles of the quantum theory of collisions are considered.
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