Schwinger-Fronsdal theory of abelian tensor gauge fields.
Guttenberg, Sebastian, Savvidy, George (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Miller, Willard (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Mellouli, Najla (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Geoffrey Dixon (2014)
Commentationes Mathematicae Universitatis Carolinae
The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra , an interpretation is developed that suggests that this seeable universe is not the whole universe; there is an unseeable part of the universe composed of antimatter galaxies and stuff, and an extra 6 dimensions of space (also unseeable) linking the matter side to the antimatter—at the very least.
John L. Challifour (1985)
Annales de l'I.H.P. Physique théorique
Milatovic, Ognjen (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Feranchuk, Ilya D., Feranchuk, Sergey I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Ye, Yaojun (2009)
Mathematical Problems in Engineering
K. H. Neeb (2014)
Annales de l’institut Fourier
A unitary representation of a, possibly infinite dimensional, Lie group is called semibounded if the corresponding operators from the derived representation are uniformly bounded from above on some non-empty open subset of the Lie algebra of . We classify all irreducible semibounded representations of the groups which are double extensions of the twisted loop group , where is a simple Hilbert–Lie group (in the sense that the scalar product on its Lie algebra is invariant) and is...
B. Simon (1984)
Annales de l'I.H.P. Physique théorique
Barry Simon (1983)
Annales de l'I.H.P. Physique théorique
George D. Raikov (1994)
Annales de l'I.H.P. Physique théorique
M. Sirugue, M. Sirugue-Collin, A. Truman (1984)
Annales de l'I.H.P. Physique théorique
V. Ivrii (1993/1994)
Séminaire Équations aux dérivées partielles (Polytechnique)
T. F. Pankratova (1995)
Annales de l'I.H.P. Physique théorique
Bernard Helffer, Thierry Ramond (2000)
Journées équations aux dérivées partielles
We continue the study started by the first author of the semiclassical Kac Operator. This kind of operator has been obtained for example by M. Kac as he was studying a 2D spin lattice by the so-called “transfer operator method”. We are interested here in the thermodynamical limit of the ground state energy of this operator. For Kac’s spin model, is the free energy per spin, and the semiclassical regime corresponds to the mean-field approximation. Under suitable assumptions, which are satisfied...
Frédéric Faure (2007)
Annales de l’institut Fourier
We consider a nonlinear area preserving Anosov map on the torus phase space, which is the simplest example of a fully chaotic dynamics. We are interested in the quantum dynamics for long time, generated by the unitary quantum propagator . The usual semi-classical Trace formula expresses for finite time , in the limit , in terms of periodic orbits of of period . Recent work reach time where is the Ehrenfest time, and is the Lyapounov coefficient. Using a semi-classical normal form...
Li, Hailiang, Lin, Chi-Kun (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Jan Herczyński (1990)
Annales de l'I.H.P. Physique théorique
Fanghua Lin, Ping Zhang (2004/2005)
Séminaire Équations aux dérivées partielles
In this paper, we study the semiclassical limit of the cubic nonlinear Schrödinger equation with the Neumann boundary condition in an exterior domain. We prove that before the formation of singularities in the limit system, the quantum density and the quantum momentum converge to the unique solution of the compressible Euler equation with the slip boundary condition as the scaling parameter approaches