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Conformal superalgebras of higher spins
AiXi’4AL.S
Or
PHYSICS
197. 203-204
Abstracts
(1990)
of Papers
to Appear
in Future
Quon/i;ed b’ortc,.x Motion and the Mofion of Charged Parricks in o S~rorzg L~IYAAS. lnstitutt for matematikk og naturvitenskap. Hogskolesenteret Ullandhaug. 4001 Stavanger. Norway.
Issues
Magnetic Field. JON MA(;w i Ropaland, P.O. Box 2557
Vortices in a two-dimensional superfluid have been suggested to obey “intermediate” statistics, which in two dimensions interpolate between the boson and fermion cases. But questions have been raised concerning this interpretation and the relation between the vortex description and the underlymg microscopic theory. The relation between the point-vortex description and the microscopic theory 1s examined here, but first in a rather general way, without specifying the detailed dynamics of the underlying theory. A system closely related to the vortex system in the superfluid is then studied. This system consists of charged particles in a strong magnetic field, with a two-dimensional Coulomb interaction between the particles. For this system a vortex description is given, and the statistics parameter is explicitly determined. The vortex system of the two-dimensional superfluid is discussed more briefly at the end of the paper. For this system there are additional complications, and no clear result concerning the statistics parameter of this system is given.
Cm/imnal Superul~ehras of Higher Spins. E. S. FKAUKIN ANU V. VA. LIN~TSKY. P. N. Lebedev PhysIcal Institute of the USSR. Academy of Sciences, Leninsky prospect 53. 117924 Moscow. USSR. Infinite-dimenslonal conformal higher-spin The superalgebra of conformal supergravity conformal superalgebras.
Scaliering helwvrn H. HORIUCHI.
superalgebras is a maximal
in four-dimensional finite-dimensional
Cbmposire Parricleh Composed of Fermions Department of Physics, Kyoto University.
space-time areconstructed. subalgebra of our higher-spin
in the One-Dimensional Kyoto 606. Japan.
Delta-Forw
&f~r&[.
The general explicit formula of the exact amplitude of the composite particle scattering in the onedimensional delta-force model is derived. The composite particles are composed of Fermions with an arbitrary SC’, internal symmetry. The derivation is made by the use of the recoupling technique of the unitary group and by setting up the recurrence relation with respect to the Fermion number. The exact equivalent local potential which reproduces the exact scattering amplitude is constructed by the use of the soliton solutions of the Korteweg-de Vries equation. In most cases the potential is energy-dependent. The accuracy of the time-dependent Hartree-Fock (TDHF) approximation for the composite particle scattering is investigated by comparing the TDHF scattering amplitude with the exact scattermg amplitude. While at low energy limit the approximation is not good for small Fermion numbers. at high energy it is good for all Fermion numbers.
Relariuistic Mean Field Theory for Finite Nuclei. Y. K. GAMBHIR. P. RING, ANL) A. THIMET. department der Technischen UniversitPt Miinchen, D-8046 Garching. West Germany.
Physik-
Relativistic mean field theory is used to describe the ground state properties of characteristic nuclei over the entire range of the periodic table, from the light doubly magic nucleus, 160. to medium heavy spherical superfluid nuclei and, furthermore, to heavy deformed nuclei in the rare earth and actinide
203 0003-49
16/90 27.50
Or
PHYSICS
197. 203-204
Abstracts
(1990)
of Papers
to Appear
in Future
Quon/i;ed b’ortc,.x Motion and the Mofion of Charged Parricks in o S~rorzg L~IYAAS. lnstitutt for matematikk og naturvitenskap. Hogskolesenteret Ullandhaug. 4001 Stavanger. Norway.
Issues
Magnetic Field. JON MA(;w i Ropaland, P.O. Box 2557
Vortices in a two-dimensional superfluid have been suggested to obey “intermediate” statistics, which in two dimensions interpolate between the boson and fermion cases. But questions have been raised concerning this interpretation and the relation between the vortex description and the underlymg microscopic theory. The relation between the point-vortex description and the microscopic theory 1s examined here, but first in a rather general way, without specifying the detailed dynamics of the underlying theory. A system closely related to the vortex system in the superfluid is then studied. This system consists of charged particles in a strong magnetic field, with a two-dimensional Coulomb interaction between the particles. For this system a vortex description is given, and the statistics parameter is explicitly determined. The vortex system of the two-dimensional superfluid is discussed more briefly at the end of the paper. For this system there are additional complications, and no clear result concerning the statistics parameter of this system is given.
Cm/imnal Superul~ehras of Higher Spins. E. S. FKAUKIN ANU V. VA. LIN~TSKY. P. N. Lebedev PhysIcal Institute of the USSR. Academy of Sciences, Leninsky prospect 53. 117924 Moscow. USSR. Infinite-dimenslonal conformal higher-spin The superalgebra of conformal supergravity conformal superalgebras.
Scaliering helwvrn H. HORIUCHI.
superalgebras is a maximal
in four-dimensional finite-dimensional
Cbmposire Parricleh Composed of Fermions Department of Physics, Kyoto University.
space-time areconstructed. subalgebra of our higher-spin
in the One-Dimensional Kyoto 606. Japan.
Delta-Forw
&f~r&[.
The general explicit formula of the exact amplitude of the composite particle scattering in the onedimensional delta-force model is derived. The composite particles are composed of Fermions with an arbitrary SC’, internal symmetry. The derivation is made by the use of the recoupling technique of the unitary group and by setting up the recurrence relation with respect to the Fermion number. The exact equivalent local potential which reproduces the exact scattering amplitude is constructed by the use of the soliton solutions of the Korteweg-de Vries equation. In most cases the potential is energy-dependent. The accuracy of the time-dependent Hartree-Fock (TDHF) approximation for the composite particle scattering is investigated by comparing the TDHF scattering amplitude with the exact scattermg amplitude. While at low energy limit the approximation is not good for small Fermion numbers. at high energy it is good for all Fermion numbers.
Relariuistic Mean Field Theory for Finite Nuclei. Y. K. GAMBHIR. P. RING, ANL) A. THIMET. department der Technischen UniversitPt Miinchen, D-8046 Garching. West Germany.
Physik-
Relativistic mean field theory is used to describe the ground state properties of characteristic nuclei over the entire range of the periodic table, from the light doubly magic nucleus, 160. to medium heavy spherical superfluid nuclei and, furthermore, to heavy deformed nuclei in the rare earth and actinide
203 0003-49
16/90 27.50