52 citations · 179 across the 15 of their papers we have counts for
15 papers
Shadow Hamiltonians of structure-preserving integrators for Nambu mechanics
Atsushi Horikoshi
Symplectic integrators are widely implemented numerical integrators for Hamiltonian mechanics, which preserve the Hamiltonian structure (symplecticity) of the system. Although the…
Classical Nambu brackets in higher dimensions
Cristel Chandre, Atsushi Horikoshi
We consider n-linear Nambu brackets in dimension N higher than n. Starting from a Hamiltonian system with a Poisson bracket and K Casimir invariants defined in the phase space of d…
Nambu dynamics and its noncanonical Hamiltonian representation in many degrees of freedom systems
Atsushi Horikoshi
Nambu dynamics is a generalized Hamiltonian dynamics of more than two variables, whose time evolutions are given by the Nambu bracket, a generalization of the canonical Poisson bra…
Hidden Nambu mechanics II: Quantum/semiclassical dynamics
Atsushi Horikoshi
Nambu mechanics is a generalized Hamiltonian dynamics characterized by an extended phase space and multiple Hamiltonians. In a previous paper [Prog. Theor. Exp. Phys. 2013, 073A01…
External Source Method for Kubo-Transformed Quantum Correlation Functions
Atsushi Horikoshi
We revisit the external source method for Kubo-transformed quantum correlation functions recently proposed by Krishna and Voth. We derive an exact formula and show that the Krishna…
A Formulation of the Ring Polymer Molecular Dynamics
Atsushi Horikoshi
The exact formulation of the path integral centroid dynamics is extended to include composites of the position and momentum operators. We present the generalized centroid dynamics…