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38 papers · 1 filter
The Integrable Dynamics of Discrete and Continuous Curves
Adam Doliwa, Paolo Maria Santini
We show that the following geometric properties of the motion of discrete and continuous curves select integrable dynamics: i) the motion of the curve takes place in the N dimensio…
Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas
Michel Droz, Pierre-Antoine Rey, Laurent Frachebourg +1
Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For an initial symmetric three-velocity di…
Fast Radiative Shocks in Dense Media. III. Properties of the Emission
Tomasz Plewa
Evolution of fast, radiative shocks in high density medium is presented. Ionizing spectra and approximate broad band light curves of the shocked gas are calculated. Emergent shock…
Extended phase space for a spinning particle
S. Zakrzewski
Extended phase space of an elementary (relativistic) system is introduced in the spirit of the Souriau's definition of the `space of motions' for such system. Our formulation is ge…
Coherent State Transforms for Spaces of Connections
Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf +2
The Segal-Bargmann transform plays an important role in quantum theories of linear fields. Recently, Hall obtained a non-linear analog of this transform for quantum mechanics on Li…
Differential Geometry on the Space of Connections via Graphs and Projective Limits
Abhay Ashtekar, Jerzy Lewandowski
In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion, $\agb$, of the space $\ag$ of gauge equivalent conn…