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math-ph2021★ 5 cited
A classical model for perfect transfer and fractional revival based on -Racah polynomials
Hugo Schérer, Luc Vinet, Alexei Zhedanov
It is shown how choices based on the -Racah polynomials for the masses and spring constants along a chain give new systems that exactly allow dispersionless end-to-end transmiss…
math-ph2021★ 1 cited
Analytic "Newton's cradles" with perfect transfer and fractional revival
Hugo Schérer, Luc Vinet, Alexei Zhedanov
Analytic mass-spring chains with dispersionless pulse transfer and fractional revival are presented. These are obtained using the properties of the para-Racah polynomials. This pro…