141 citations · 919 across the 47 of their papers we have counts for
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A Fundamental Theorem on the Structure of Symplectic Integrators
Siu A. Chin
I show that the basic structure of symplectic integrators is governed by a theorem which states {\it precisely}, how symplectic integrators with positive coefficients cannot be cor…
The Complete Characterization of Fourth-Order Symplectic Integrators with Extended-Linear Coefficients
Siu A. Chin
The structure of symplectic integrators up to fourth-order can be completely and analytical understood when the factorization (split) coefficents are related linearly but with a un…
Gradient Symplectic Algorithms for Solving the Radial Schrodinger Equation
Siu A. Chin, Petr Anisimov
The radial Schrodinger equation for a spherically symmetric potential can be regarded as a one dimensional classical harmonic oscillator with a time-dependent spring constant. For…
The two electron molecular bond revisited: from Bohr orbits to two-center orbitals
Goong Chen, Siu A. Chin, Yusheng Dou +6
In this review we first discuss extension of Bohr's 1913 molecular model and show that it corresponds to the large-D limit of a dimensional scaling (D-scaling) analysis, as develop…
Fourth-Order Algorithms for Solving the Imaginary Time Gross-Pitaevskii Equation in a Rotating Anisotropic Trap
Siu A. Chin, Eckhard Krotscheck
By implementing the exact density matrix for the rotating anisotropic harmonic trap, we derive a class of very fast and accurate fourth order algorithms for evolving the Gross-Pita…