Polynomial scheme for time evolution of open and closed quantum systems

Details Polynomial scheme for time evolution of open and closed quantum systems Polynomial scheme for time evolution of open and closed quantum systems

2006-11-28

arxiv.org/abs/quant-ph/0611269v2

PHYSICAL REVIEW E 75, 016701 (2007)

Physics

Quantum Physics

19 pages, 6 figures, Phys.Rev.E (accepted)

Scientific paper

Based on the generation function of Laguerre polynomials, We proposed a new Laguerre polynomial expansion scheme in the calculation of evolution of time dependent Schr\"odinger equation. Theoretical analysis and numerical test show that the method is equally as good as Chebyshev polynomial expansion method in efficiency and accuracy, with extra merits that no scaling to Hamiltonian is needed and wider suitability.

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