Showing papers on "Configuration space published in 1974"

Generalized Phase Space Formulation of the Hamiltonian Dynamics

Abstract: In an n dimensional phase space, the generator of the time translation can be written in terms of a Hamiltonian and a set of Poisson brackets for the phase space variables When the velocity vector

Solution of the Three-Body Scattering Problem in Configuration Space

Abstract: The correct asymptotic behavior of the wave function deduced from the Faddeev equations for three-particle scattering is used to determine the asymptotic conditions. With these conditions, the equivalent set of partial differential equations in configuration space has a unique solution and is numerically solved for two examples. Comparison is made with results from two other basically different methods.

Motions of relativistic Hamiltonian interactions

Abstract: There is presented a class of completely HamiltonianN-particle interactions, invariant under the Poincare group. The motions are not given byN-tuples of world-lines in space-time, but by certainN-dimensional submanifolds of the phase-space Φ forR4N. The set of these motions is a 6N-dimensional symplectic manifold and is determined by the choice ofN functions on Φ which have zero Poisson brackets on Φ. This 6N-dimensional manifold is in 1∶1 correspondence with the 6N-dimensional phase space for the system whenever an observer is specified. The phase-space transitions thus obtained for any pair of observers constitute the dynamics.

The effect of expansion of the shell model space on the structure of the mass-15 nuclei

Abstract: The structure of the natural and unnatural parity states of the15N-15O mirror pair, as well as theT=3/2 analogue states of15C, is discussed in terms of shell model calculations with a modified surface delta two-body interaction. The inert core is recomposed from4He to12C and the configuration space is systematically expanded to allow for an increasing number of particle excitations from the 1p into the 2s-1d shell. The relative importance of the 2s 1/2, 1d 5/2 and 1d 3/2 orbitals are evaluated. Some electromagnetic properties of levels are also calculated.

Image effects in bounded plasmas

Abstract: Assuming thermodynamic equilibrium and using the BBGKY hierarchy, the configuration space and number density distributions of electrons and ions in a plasma bounded by a charged, perfectly conducting surface are derived. Modifying the conventional Debye‐Huckel approach, the method of images is combined with the use of the Gibbs distribution to obtain new results. It is also shown that the addition of a magnetic field cannot produce any net current if thermodynamic equilibrium is assumed. A drift current is exactly canceled by the current produced by the variation in the number density of particles gyrating about their guiding centers.

A New Approach to Interacting Fields

Abstract: A model for a description of interaction, which involves particle creation, can be given as follows: (1) A smooth finite-dimensional manifoldM constitutes the configuration space of some interacting system. (2) The concept of an interacting field is formulated in terms of two-component objects which consist of a physical and a topological field component which are ‘derived’ fromM. (3) Interaction is described in terms of the topological linking number of the topological field components and in terms of the intrinsic field equations.

On an analyticity property in (complex) phase space

Abstract: Some consequences of one-valuedness on the real phase space for certain analytic functions over the complex phase space of a Hamiltonian system are demonstrated. The Bohr-Sommerfeld quantisation conditions are reformulated as one-valuedness conditions for these functions on the complex phase space.