Poincaré invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach
type: Item
instance of: scholarly article
title: Poincaré invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach
zbMATH Open document ID: 0698.58023
DOI: 10.1016/0003-4916(89)90136-X
author: Heinz Sorge
author: H. Stöcker
author: Walter Greiner
published in: Annals of Physics
publication date: 1989-01-01T00:00:00Z
review text: A classical Poincaré invariant particle dynamics is formulated in the framework of constraint Hamiltonian systems. This canonical formalism is compatible with physical requirements like world line invariance, cluster separability, causality principles, and a reasonable non-relativistic limit. In a microscopic phase space approach the classical propagation based on constraint dynamics is combined with some quantum effects like multiple two-body elastic and inelastic scattering to serve as a model for multi-hadronic interactions. This model which is dubbed ``relativistic quantum molecular dynamics'' is used to study relativistic nucleus-nucleus collisions. The results demonstrate the importance of collective motion, nuclear stopping, and secondary scattering. It is discussed whether global properties of hot, dense hadronic and quark matter - the equation of state and, in particular, the phase transition to a quark gluon plasma - can be probed in heavy ion collisions.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 81U05
zbMATH DE Number: 4144983
zbMATH Keywords: two-body scattering
zbMATH Keywords: Poincaré invariant particle dynamics
zbMATH Keywords: constraint Hamiltonian systems
MaRDI profile type: Publication
cites work: Superstrings
cites work: Forms of Relativistic Dynamics
cites work: Foundations of Quantum Mechanics
cites work: Classical Electrodynamics in Terms of Direct Interparticle Action
cites work: Relativistic and separable classical Hamiltonian particle dynamics
cites work: Time Dependent Constraints in Classical Dynamics
description: scientific article; zbMATH DE number 4144983