Zobrazeno 1 - 10
of 213
pro vyhledávání: '"Chin, Siu A."'
Autor:
Chin, Siu A.
It is widely known that there is no sign problem in Path Integral Monte Carlo (PIMC) simulations of fermions in one dimension. Yet, as far as the author is aware, there is no direct proof of this in the literature. This work shows that the $sign$ of
Externí odkaz:
http://arxiv.org/abs/2407.01618
Autor:
Chin, Siu A.
By use of the recently derived $universal$ discrete imaginary-time propagator of the harmonic oscillator, both thermodynamic and Hamiltonian energies can be given analytically, and evaluated numerically at each imaginary time step, for $any$ short-ti
Externí odkaz:
http://arxiv.org/abs/2406.20039
Autor:
Chin, Siu A.
By use of a special wave function derived from similarly transformed propagators, this work shows that the energy of a thousand spin-balanced fermions in a three-dimensional harmonic potential can be accurately computed using the Monte Carlo method.<
Externí odkaz:
http://arxiv.org/abs/2310.18818
Autor:
Chin, Siu A.
Publikováno v:
J. Chem. Phys. 159, 134109 (2023)
The direct integration of the harmonic oscillator path integral obscures the fundamental structure of its discrete, imaginary time propagator (density matrix). This work, by first proving an operator identity for contracting two free propagators into
Externí odkaz:
http://arxiv.org/abs/2310.18809
Autor:
Chin, Siu A.
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 derivation is then given.
Comment: 7 pages with 3 figures; of int
Comment: 7 pages with 3 figures; of int
Externí odkaz:
http://arxiv.org/abs/2210.03808
Autor:
Chin, Siu A.
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 fermion propagator can be of either sign.
Comment: 7 pages with one f
Comment: 7 pages with one f
Externí odkaz:
http://arxiv.org/abs/2209.06785
Autor:
Chin, Siu A., Cator, Durward
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 and the gyroradius are the foundational basis for why Boris solvers exi
Externí odkaz:
http://arxiv.org/abs/2109.01901
Autor:
Chin, Siu A.
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 constructing planet orbits, the celebrated Proposition 1, Theorem 1 of
Externí odkaz:
http://arxiv.org/abs/2106.07082
Autor:
Chin, Siu A.
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 VV and PV version of exact energy conserving algorithms for solving ma
Externí odkaz:
http://arxiv.org/abs/2106.04068
Autor:
Wang, Xingyu, Liu, Xin, O’Donnell, Martin J., McQueen, Matthew, Sniderman, Allan, Pare, Guillaume, Hankey, Graeme J., Rangarajan, Sumathy, Chin, Siu Lim, Rao-Melacini, Purnima, Ferguson, John, Xavier, Denis, Zhang, Hongye, Lisheng, Liu, Pais, Prem, Lopez-Jaramillo, Patricio, Damasceno, Albertino, Langhorne, Peter, Rosengren, Annika, Dans, Antonio L., Elsayed, Ahmed, Avezum, Alvaro, Mondo, Charles, Judge, Conor, Diener, Hans-Christoph, Ryglewicz, Danuta, Czlonkowska, Anna, Pogosova, Nana, Weimar, Christian, Iqbal, Romana, Diaz, Rafael, Yusoff, Khalid, Yusufali, Afzalhussein, Oguz, Aytekin, Penaherrera, Ernesto, Lanas, Fernando, Ogah, Okechukwu S., Ogunniyi, A., Iversen, Helle K., Malaga, German, Rumboldt, Zvonko, Oveisgharan, Shahram, Al Hussain, Fawaz, Nilanont, Yongchai, Yusuf, Salim
Publikováno v:
In eClinicalMedicine April 2024 70