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Quantum Algorithms
The Hahn Quantum System
arXiv
Authors: A D Alhaidari, Y. -T. Li
Year
2017
Paper ID
25060
Status
Preprint
Abstract Read
~2 min
Abstract Words
66
Citations
N/A
Abstract
Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn polynomials. The continuum energy scattering states are written in terms of the continuous Hahn polynomial whose asymptotics give the scattering amplitude and phase shift. On the other hand, the finite number of discrete bound states are associated with the Hahn polynomial.
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- It adds a 2017 reference point for readers tracking recent quantum research.
- Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn...
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