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Constraints in quantum mechanics and applications to collective nuclear motions
ANNALS
OF PHYSICS
90,
Abstracts
284 (1975)
of Papers
to Appear
in Future
Issues
Scattering of Acoustic, Electromagnetic and Elastic SH Waves by Two-Dimensional Obstacles. D. L. JAIN AND R. P. KANWAL. Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802. We present a complete and a simplified discussion of the scattering of acoustic, electromagnetic and earthquake SH waves by various shapes such as in&rite cylinders, strips, slits, cracks, cavities, and semiinfinite planes. Formulas are derived for the velocity potentials, electromagnetic fields, displacement fields, far-field amplitudes, scattering cross sections, stresses, and dynamic stress intensity factors. Constraints in Quantum Mechanics and Applications to Collective Nuclear Motions. P. &or J. J. GRIFFIN. University of Maryland, College Park, Maryland 20742.
AND
We propose a general method of derivation of the auxiliary constrained Hamiltonian describing a constrained system. The introduction of the constraint operator in the Lagrangian leads, for holonomic constraints, to a simple definition of the auxiliary Hamiltonian by a unitary transformation on the unconstrained Hamiltonian. This of course gives immediately the constrained parametrised wave function once the unconstrained one is known. This method which gives results different from other methods is especially well suited to calculate kinetic every terms of the Hamiltonian describing collective motions of N-body systems. On the Formalism of Relativistic Many Body Theory. R. E. NORTON AND J. M. Department of Physics, University of California, Los Angeles, California 90024.
CORNWALL.
The thermodynamic potential is constructed as an effective action functional of the various n point amplitudes (n < 4). One of the functionals is used to obtain the equations of state as simple, convergent expressions involving the conventionally renormalized charges and masses. On the Definition of the Resonance. LUCE GAUTHIER. Department of Physics, Princeton University, Jadwin Hall, Princeton, New Jersey 08540; and A. N. KAMAL. Theoretical Physics Institute, and Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada. In an exactly solvable model of separable potentials a two channel scattering problem is solved in I = 0 state. The location and the width of a resonance are then defined in three different ways and the resonance parameters so extracted are then compared. This problem is of interest vis-a-vis the d(3,3) resonance parameters. Pion Superfluidity in Nuclear Matter. D. F. Halifax, Nova Scotia.
GOBLE.
Department of Physics, Dalhousie University,
We utilize analogies with theories and properties of both liquid He* and electrons in solids and liquids in constructing a model of nuclear matter in which the presence of stabilized pions is assumed. This model is then used to predict relationships between various thermodynamic parameters of a nuclear matter system, such as that between its “free” pion density and the characteristic transition temperature at which a Bose-Einstein condensation will commence. 284 Copyright All rights
0 1975 by Academic Press, Inc. of reproduction in any form reserved.
OF PHYSICS
90,
Abstracts
284 (1975)
of Papers
to Appear
in Future
Issues
Scattering of Acoustic, Electromagnetic and Elastic SH Waves by Two-Dimensional Obstacles. D. L. JAIN AND R. P. KANWAL. Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802. We present a complete and a simplified discussion of the scattering of acoustic, electromagnetic and earthquake SH waves by various shapes such as in&rite cylinders, strips, slits, cracks, cavities, and semiinfinite planes. Formulas are derived for the velocity potentials, electromagnetic fields, displacement fields, far-field amplitudes, scattering cross sections, stresses, and dynamic stress intensity factors. Constraints in Quantum Mechanics and Applications to Collective Nuclear Motions. P. &or J. J. GRIFFIN. University of Maryland, College Park, Maryland 20742.
AND
We propose a general method of derivation of the auxiliary constrained Hamiltonian describing a constrained system. The introduction of the constraint operator in the Lagrangian leads, for holonomic constraints, to a simple definition of the auxiliary Hamiltonian by a unitary transformation on the unconstrained Hamiltonian. This of course gives immediately the constrained parametrised wave function once the unconstrained one is known. This method which gives results different from other methods is especially well suited to calculate kinetic every terms of the Hamiltonian describing collective motions of N-body systems. On the Formalism of Relativistic Many Body Theory. R. E. NORTON AND J. M. Department of Physics, University of California, Los Angeles, California 90024.
CORNWALL.
The thermodynamic potential is constructed as an effective action functional of the various n point amplitudes (n < 4). One of the functionals is used to obtain the equations of state as simple, convergent expressions involving the conventionally renormalized charges and masses. On the Definition of the Resonance. LUCE GAUTHIER. Department of Physics, Princeton University, Jadwin Hall, Princeton, New Jersey 08540; and A. N. KAMAL. Theoretical Physics Institute, and Department of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada. In an exactly solvable model of separable potentials a two channel scattering problem is solved in I = 0 state. The location and the width of a resonance are then defined in three different ways and the resonance parameters so extracted are then compared. This problem is of interest vis-a-vis the d(3,3) resonance parameters. Pion Superfluidity in Nuclear Matter. D. F. Halifax, Nova Scotia.
GOBLE.
Department of Physics, Dalhousie University,
We utilize analogies with theories and properties of both liquid He* and electrons in solids and liquids in constructing a model of nuclear matter in which the presence of stabilized pions is assumed. This model is then used to predict relationships between various thermodynamic parameters of a nuclear matter system, such as that between its “free” pion density and the characteristic transition temperature at which a Bose-Einstein condensation will commence. 284 Copyright All rights
0 1975 by Academic Press, Inc. of reproduction in any form reserved.