Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR2k papers
- University of British ColumbiaCA1.9k papers
- McGill UniversityCA1.9k papers
- University of VictoriaCA1.8k papers
- University of California, Santa CruzUS1.7k papers
- Rutherford Appleton LaboratoryGB1.7k papers
- University of ManchesterGB1.7k papers
- Queen Mary University of LondonGB1.7k papers
- University of PisaIT1.6k papers
- University of EdinburghGB1.6k papers
- University of BirminghamGB1.6k papers
- Heidelberg UniversityDE1.6k papers
10 papers · 2 filters
Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions
J. Harnad, A. Yu. Orlov
A new representation of the 2N fold integrals appearing in various two-matrix models that admit reductions to integrals over their eigenvalues is given in terms of vacuum state exp…
Compact Simple Lie Groups and Their C-, S-, and E-Transforms
Jiri Patera
New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of ra…
Riemann Invariants and Rank-k Solutions of Hyperbolic Systems
A. M. Grundland, B. Huard
In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions. We disc…
Graded contractions of the Pauli graded sl(3,C)
J. Hrivnak, P. Novotny, J. Patera +1
The Lie algebra $sl(3,\C)$ is considered in the basis of generalized Pauli matrices. Corresponding grading is the Pauli grading here. It is one of the four gradings of the algebra…
Discretization of partial differential equations preserving their physical symmetries
Francis Valiquette, Pavel Winternitz
A procedure for obtaining a "minimal" discretization of a partial differential equation, preserving all of its Lie point symmetries is presented. "Minimal" in this case means that…
Spin Calogero models obtained from dynamical r-matrices and geodesic motion
L. Feher, B. G. Pusztai
We study classical integrable systems based on the Alekseev-Meinrenken dynamical r-matrices corresponding to automorphisms of self-dual Lie algebras, . We prove that thes…
sh(2/2) Superalgebra eigenstates and generalized supercoherent and supersqueezed states
Nibaldo Alvarez-Moraga, Veronique Hussin
The superalgebra eigenstates (SAES) concept is introduced and then applied to find the SAES associated to the superalgebra, also known as Heisenberg--Weyl Lie superalgebr…
Invariant vector fields and the prolongation method for supersymmetric quantum systems
Nibaldo Alvarez-Moraga, Veronique Hussin
The kinematical and dynamical symmetries of equations describing the time evolution of quantum systems like the supersymmetric harmonic oscillator in one space dimension and the in…
Generalized coherent and squeezed states based on the algebra
Nibaldo Alvarez-Moraga, Veronique Hussin
States which minimize the Schrödinger--Robertson uncertainty relation are constructed as eigenstates of an operator which is a element of the $h(1) \oplus \su(2)$ algebra. The rela…
Coherent and squeezed states of quantum Heisenberg algebras
Nibaldo Alvarez-Moraga
Starting from deformed quantum Heisenberg Lie algebras some realizations are given in terms of the usual creation and annihilation operators of the standard harmonic oscillator. Th…