scholarly journals Quantization of a relativistic particle on the manifold based on Hamiltonian reduction

1994 ◽  
Vol 336 (3-4) ◽  
pp. 388-394 ◽  
Author(s):  
G. Jorjadze ◽  
L. O'Raifeartaigh ◽  
I. Tsutsui
Keyword(s):  
Relativistic Particle ◽  
Hamiltonian Reduction

scholarly journals Cosmic Analogues of Classic Variational Problems

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 71 ◽  
Author(s):  
Valerio Faraoni
Keyword(s):  
Relativistic Particle ◽  
Friedmann Equation ◽  
Variational Calculus ◽  
Variational Problems ◽  
Particle Mechanics ◽  
One Dimensional ◽  
Spatially Homogeneous

Several classic one-dimensional problems of variational calculus originating in non-relativistic particle mechanics have solutions that are analogues of spatially homogeneous and isotropic universes. They are ruled by an equation which is formally a Friedmann equation for a suitable cosmic fluid. These problems are revisited and their cosmic analogues are pointed out. Some correspond to the main solutions of cosmology, while others are analogous to exotic cosmologies with phantom fluids and finite future singularities.

Relativistic particle interactions: a Third World view

1981 ◽  
Author(s):  
A Balachandran ◽  
G Marmo ◽  
N Mukunda ◽  
J Nilsson ◽  
A Simoni ◽  
...  
Keyword(s):  
Third World ◽  
Relativistic Particle ◽  
World View ◽  
Particle Interactions

scholarly journals New Relativistic Particle-In-Cell Simulation Studies of Prompt and Early Afterglows from GRBs

2008 ◽  
Author(s):  
K.-I. Nishikawa ◽  
J. Niemiec ◽  
H. Sol ◽  
M. Medvedev ◽  
B. Zhang ◽  
...  
Keyword(s):  
Relativistic Particle ◽  
Simulation Studies ◽  
Particle In Cell ◽  
Cell Simulation

QUANTUM HAMILTONIAN REDUCTION AND WB ALGEBRA

1992 ◽  
Vol 07 (20) ◽  
pp. 4885-4898 ◽  
Author(s):  
KATSUSHI ITO
Keyword(s):  
Lie Algebras ◽  
Free Field ◽  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
Hamiltonian Reduction ◽  
Affine Lie Algebras ◽  
Quantum Hamiltonian Reduction ◽  
Free Field Realization ◽  
Coset Construction ◽  
Quantum Hamiltonian

We study the quantum Hamiltonian reduction of affine Lie algebras and the free field realization of the associated W algebra. For the nonsimply laced case this reduction does not agree with the usual coset construction of the W minimal model. In particular, we find that the coset model [Formula: see text] can be obtained through the quantum Hamiltonian reduction of the affine Lie superalgebra B(0, n)(1). To show this we also construct the Feigin-Fuchs representation of affine Lie superalgebras.

The model of the relativistic particle with torsion

1991 ◽  
Vol 362 (1-2) ◽  
pp. 54-72 ◽  
Author(s):  
M.S. Plyushchay
Keyword(s):  
Relativistic Particle

scholarly journals BI-HAMILTONIAN STRUCTURE OF THE SUPERSYMMETRIC NONLINEAR SCHRÖDINGER EQUATION

1995 ◽  
Vol 10 (27) ◽  
pp. 2019-2028 ◽  
Author(s):  
J.C. BRUNELLI ◽  
ASHOK DAS
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Hamiltonian Structure ◽  
Kdv Equation ◽  
Nonlinear Schrodinger Equation ◽  
Hamiltonian Reduction ◽  
Hamiltonian Structures ◽  
Nonlinear Schrödinger ◽  
Supersymmetric Kdv Equation

We show that the supersymmetric nonlinear Schrödinger equation is a bi-Hamiltonian integrable system. We obtain the two Hamiltonian structures of the theory from the ones of the supersymmetric two-boson hierarchy through a field redefinition. We also show how the two Hamiltonian structures of the supersymmetric KdV equation can also be derived from a Hamiltonian reduction of the supersymmetric two-boson hierarchy.

scholarly journals Hose Instability for Relativistic Particle Beams in a Plasma Background

1963 ◽  
Vol 6 (12) ◽  
pp. 1741 ◽  
Author(s):  
R. C. Mjolsness ◽  
J. Enoch ◽  
C. L. Longmire
Keyword(s):  
Relativistic Particle ◽  
Particle Beams ◽  
Plasma Background
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