141 citations · 919 across the 47 of their papers we have counts for
48 papers
Elementary derivations of centripetal acceleration and works of Huygens and Newton: a revisit with a simple physical derivation
Siu A. Chin
This work shows how two simple derivations of the centripetal acceleration are fundamentally related to seminal works of Huygens and Newton. A different, more physically motivated…
A topological proof that there is no sign problem in one dimensional Path Integral Monte Carlo simulation of fermions
Siu A. Chin
This work shows that, in one dimension, due to its topology, a closed-loop product of short-time propagators is always positive, despite the fact that each anti-symmetric free ferm…
The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators
Siu A. Chin, Durward Cator
This work gives a Lie operator derivation of various Boris solvers via a detailed study of trajectory errors in a constant magnetic field. These errors in the gyrocenter location a…
Modern light on ancient feud: Robert Hooke and Newton's graphical method
Siu A. Chin
The feud between Robert Hooke and Isaac Newton has remained ongoing even after 300 years, over whether Newton should have acknowledged Hooke's influence on his graphical method of…
A fundamental derivation of two Boris solvers and the Ge-Marsden theorem
Siu A. Chin
For a separable Hamiltonian, there are two fundamental, time-symmetric, second-order velocity-Verlet (VV) and position-Verlet (PV) symplectic integrators. Similarly, there are two…
Solving fermion problems without solving the sign problem: symmetry-breaking wave functions from similarity-transformed propagators for solving 2D quantum dots
Siu A. Chin
It is well known that the use of the primitive second-order propagator in Path Integral Monte Carlo calculations of many-fermion systems leads to the sign problem. In this work, we…