Gauge fields in the separation of rotations andinternal motions in the n-body problem

RG Littlejohn, M Reinsch - Reviews of modern physics, 1997 - APS
The problem of separating rotations from internal motions in systems such as macroscopic
flexible bodies, atoms, molecules, nuclei, and solar systems is an old one, with many …

[图书][B] Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems

JE Marsden, TS Ratiu - 2013 - books.google.com
Symmetry has always played an important role in mechanics, from fundamental formulations
of basic principles to concrete applications. The theme of the book is to develop the basic …

[图书][B] Lectures on mechanics

JE Marsden - 1992 - books.google.com
The use of geometric methods in classical mechanics has proven fruitful, with wide
applications in physics and engineering. In this book, Professor Marsden concentrates on …

[图书][B] Algebraic theory of molecules

F Iachello, RD Levine - 1995 - books.google.com
Algebraic Theory of Molecules presents a fresh look at the mathematics of wave functions
that provide the theoretical underpinnings of molecular spectroscopy. Written by renowned …

Principal component analysis of molecular dynamics: On the use of Cartesian vs. internal coordinates

F Sittel, A Jain, G Stock - The Journal of Chemical Physics, 2014 - pubs.aip.org
Principal component analysis of molecular dynamics simulations is a popular method to
account for the essential dynamics of the system on a low-dimensional free energy …

Many‐body effects in molecular dynamics simulations of Na+(H2O)n and Cl(H2O)n clusters

L Perera, ML Berkowitz - The Journal of chemical physics, 1991 - pubs.aip.org
Many‐body effects were examined in a series of molecular dynamics computer simulations
on the ionic aqueous clusters Na+ (H2O) n (n= 4, 5, 6, 14) and Cl−(H2O) n (n= 4, 5, 6, 7, 8 …

Stability of coupled rigid body and geometrically exact rods: block diagonalization and the energy-momentum method

JC Simo, TA Posbergh, JE Marsden - Physics Reports, 1990 - Elsevier
This paper develops and applies the energy-momentum method to the problem of nonlinear
stability of relative equilibria. The method is applied in detail to the stability of uniformily …

[图书][B] Stability of relative equilibria. Part I: The reduced energy-momentum method

JC Simo, D Lewis, JE Marsden - 1989 - cds.caltech.edu
A general mechanical system with a Hamiltonian that is the sum of the kinetic and potential
energy is said to possess symmetry if the Hamiltonian function is invariant under the action …

Phase changes in 38-atom Lennard-Jones clusters. II. A parallel tempering study of equilibrium and dynamic properties in the molecular dynamics and microcanonical …

F Calvo, JP Neirotti, DL Freeman… - The Journal of Chemical …, 2000 - pubs.aip.org
We study the 38-atom Lennard-Jones cluster with parallel tempering Monte Carlo methods
in the microcanonical and molecular dynamics ensembles. A new Monte Carlo algorithm is …

Surface melting of clusters and implications for bulk matter

HP Cheng, RS Berry - Physical Review A, 1992 - APS
Surface melting on clusters is investigated by a combination of analytic modeling and
computer simulation. Homogeneous argonlike clusters bound by Lennard-Jones forces and …