Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume 2 (2006)

Invariant Varieties of Periodic Points for the Discrete Euler Top
Satoru Saito and Noriko Saitoh
SIGMA, Vol. 2 (2006), Paper 098, 10 pages   [ abs   pdf   ps ]
On the Darboux-Nijenhuis Variables for the Open Toda Lattice
Yuriy A. Grigoryev and Andrey V. Tsiganov
SIGMA, Vol. 2 (2006), Paper 097, 15 pages   [ abs   pdf   ps ]
Restricted Flows and the Soliton Equation with Self-Consistent Sources
Runliang Lin, Haishen Yao and Yunbo Zeng
SIGMA, Vol. 2 (2006), Paper 096, 8 pages   [ abs   pdf   ps ]
Bethe Ansatz Solutions of the Bose-Hubbard Dimer
Jon Links and Katrina E. Hibberd
SIGMA, Vol. 2 (2006), Paper 095, 8 pages   [ abs   pdf   ps ]
Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane
Aiyalam P. Balachandran and Babar Ahmed Qureshi
SIGMA, Vol. 2 (2006), Paper 094, 9 pages   [ abs   pdf   ps ]
On the One Class of Hyperbolic Systems
Vsevolod E. Adler and Alexey B. Shabat
SIGMA, Vol. 2 (2006), Paper 093, 17 pages   [ abs   pdf   ps ]
A q-Analogue of the Centralizer Construction and Skew Representations of the Quantum Affine Algebra
Mark J. Hopkins and Alexander I. Molev
SIGMA, Vol. 2 (2006), Paper 092, 29 pages   [ abs   pdf   ps ]
Dynamical R Matrices of Elliptic Quantum Groups and Connection Matrices for the q-KZ Equations
Hitoshi Konno
SIGMA, Vol. 2 (2006), Paper 091, 25 pages   [ abs   pdf   ps ]
Non-Commutative Mechanics in Mathematical & in Condensed Matter Physics
Peter A. Horváthy
SIGMA, Vol. 2 (2006), Paper 090, 9 pages   [ abs   pdf   ps ]
Einstein-Riemann Gravity on Deformed Spaces
Julius Wess
SIGMA, Vol. 2 (2006), Paper 089, 9 pages   [ abs   pdf   ps ]
Solvable Nonlinear Evolution PDEs in Multidimensional Space
Francesco Calogero and Matteo Sommacal
SIGMA, Vol. 2 (2006), Paper 088, 17 pages   [ abs   pdf   ps ]
Para-Grassmann Variables and Coherent States
Daniel C. Cabra, Enrique F. Moreno and Adrian Tanasă
SIGMA, Vol. 2 (2006), Paper 087, 8 pages   [ abs   pdf   ps ]
Quantum Gravity as a Broken Symmetry Phase of a BF Theory
Aleksandar Miković
SIGMA, Vol. 2 (2006), Paper 086, 5 pages   [ abs   pdf   ps ]
Multivariable Christoffel-Darboux Kernels and Characteristic Polynomials of Random Hermitian Matrices
Hjalmar Rosengren
SIGMA, Vol. 2 (2006), Paper 085, 12 pages   [ abs   pdf   ps ]
R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
Sergey É. Derkachov and Alexander N. Manashov
SIGMA, Vol. 2 (2006), Paper 084, 20 pages   [ abs   pdf   ps ]
Fermion on Curved Spaces, Symmetries, and Quantum Anomalies
Mihai Visinescu
SIGMA, Vol. 2 (2006), Paper 083, 16 pages   [ abs   pdf   ps ]
The Form Factor Program: a Review and New Results − the Nested SU(N) Off-Shell Bethe Ansatz
Hratchya M. Babujian, Angela Foerster and Michael Karowski
SIGMA, Vol. 2 (2006), Paper 082, 16 pages   [ abs   pdf   ps ]
Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
Marco Panero
SIGMA, Vol. 2 (2006), Paper 081, 14 pages   [ abs   pdf   ps ]
A Formula for the Logarithm of the KZ Associator
Benjamin Enriquez and Fabio Gavarini
SIGMA, Vol. 2 (2006), Paper 080, 3 pages   [ abs   pdf   ps ]
u-Deformed WZW Model and Its Gauging
Ctirad Klimčík
SIGMA, Vol. 2 (2006), Paper 079, 4 pages   [ abs   pdf   ps ]
Integrable Hierarchy of Higher Nonlinear Schrödinger Type Equations
Anjan Kundu
SIGMA, Vol. 2 (2006), Paper 078, 12 pages   [ abs   pdf   ps ]
The Torsion of Spinor Connections and Related Structure
Frank Klinker
SIGMA, Vol. 2 (2006), Paper 077, 28 pages   [ abs   pdf   ps ]
Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie Group
Robert V. Moody and Jiri Patera
SIGMA, Vol. 2 (2006), Paper 076, 14 pages   [ abs   pdf   ps ]
Prolongation Loop Algebras for a Solitonic System of Equations
Maria A. Agrotis
SIGMA, Vol. 2 (2006), Paper 075, 15 pages   [ abs   pdf   ps ]
Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model
Alexandre M. Gavrilik
SIGMA, Vol. 2 (2006), Paper 074, 12 pages   [ abs   pdf   ps ]
Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
A. Enciso, F. Finkel, A. González-López and M.A. Rodríguez
SIGMA, Vol. 2 (2006), Paper 073, 11 pages   [ abs   pdf   ps ]
Coupled Modified KP Hierarchy and Its Dispersionless Limit
Takashi Takebe and Lee-Peng Teo
SIGMA, Vol. 2 (2006), Paper 072, 30 pages   [ abs   pdf   ps ]
Generalized Ellipsoidal and Sphero-Conal Harmonics
Hans Volkmer
SIGMA, Vol. 2 (2006), Paper 071, 16 pages   [ abs   pdf   ps ]
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
Henrik Aratyn, Jose Francisco Gomes and Abraham H. Zimerman
SIGMA, Vol. 2 (2006), Paper 070, 12 pages   [ abs   pdf   ps ]
Integrable Models of Interaction of Matter with Radiation
Vladimir I. Inozemtsev and Natalia G. Inozemtseva
SIGMA, Vol. 2 (2006), Paper 069, 9 pages   [ abs   pdf   ps ]
Painlevé Analysis and Similarity Reductions for the Magma Equation
Shirley E. Harris and Peter A. Clarkson
SIGMA, Vol. 2 (2006), Paper 068, 17 pages   [ abs   pdf   ps ]
The Relation Between the Associate Almost Complex Structure to HM¢ and (HM¢,S,T)-Cartan Connections
Ebrahim Esrafilian and Hamid Reza Salimi Moghaddam
SIGMA, Vol. 2 (2006), Paper 067, 7 pages   [ abs   pdf   ps ]
Quantum Entanglement and Projective Ring Geometry
Michel Planat, Metod Saniga and Maurice R. Kibler
SIGMA, Vol. 2 (2006), Paper 066, 14 pages   [ abs   pdf   ps ]
On the Linearization of Second-Order Differential and Difference Equations
Vladimir Dorodnitsyn
SIGMA, Vol. 2 (2006), Paper 065, 15 pages   [ abs   pdf   ps ]
On a 'Mysterious' Case of a Quadratic Hamiltonian
Sergei Sakovich
SIGMA, Vol. 2 (2006), Paper 064, 4 pages   [ abs   pdf   ps ]
The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients
Tadashi Kobayashi and Kouichi Toda
SIGMA, Vol. 2 (2006), Paper 063, 10 pages   [ abs   pdf   ps ]
Quantum Potential and Symmetries in Extended Phase Space
Sadollah Nasiri
SIGMA, Vol. 2 (2006), Paper 062, 12 pages   [ abs   pdf   ps ]
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
Vsevolod A. Vladimirov, Ekaterina V. Kutafina and Anna Pudelko
SIGMA, Vol. 2 (2006), Paper 061, 15 pages   [ abs   pdf   ps ]
q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy
Jingsong He, Yinghua Li and Yi Cheng
SIGMA, Vol. 2 (2006), Paper 060, 32 pages   [ abs   pdf   ps ]
Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms
Yuri N. Kosovtsov
SIGMA, Vol. 2 (2006), Paper 059, 8 pages   [ abs   pdf   ps ]
A Dual Mesh Method for a Non-Local Thermistor Problem
Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi and Delfim F.M. Torres
SIGMA, Vol. 2 (2006), Paper 058, 10 pages   [ abs   pdf   ps ]
Dispersionless Hirota Equations of Two-Component BKP Hierarchy
Kanehisa Takasaki
SIGMA, Vol. 2 (2006), Paper 057, 22 pages   [ abs   pdf   ps ]
Extension of the Poincaré Symmetry and Its Field Theoretical Implementation
Adrian Tanasa
SIGMA, Vol. 2 (2006), Paper 056, 23 pages   [ abs   pdf   ps ]
On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
Natasha D. Popova and Yurii S. Samoilenko
SIGMA, Vol. 2 (2006), Paper 055, 5 pages   [ abs   pdf   ps ]
Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
Partha Guha and Peter J. Olver
SIGMA, Vol. 2 (2006), Paper 054, 9 pages   [ abs   pdf   ps ]
On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
Tatiana V. Ryabukha
SIGMA, Vol. 2 (2006), Paper 053, 8 pages   [ abs   pdf   ps ]
Consequences of Symmetries on the Analysis and Construction of Turbulence Models
Dina Razafindralandy and Aziz Hamdouni
SIGMA, Vol. 2 (2006), Paper 052, 20 pages   [ abs   pdf   ps ]
Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
Vladimir P. Gerdt, Yuri A. Blinkov and Vladimir V. Mozzhilkin
SIGMA, Vol. 2 (2006), Paper 051, 26 pages   [ abs   pdf   ps ]
Perturbative Treatment of the Evolution Operator Associated with Raman Couplings
Benedetto Militello, Paolo Aniello and Antonino Messina
SIGMA, Vol. 2 (2006), Paper 050, 10 pages   [ abs   pdf   ps ]
On One Approach to Investigation of Mechanical Systems
Valentin D. Irtegov and Tatyana N. Titorenko
SIGMA, Vol. 2 (2006), Paper 049, 20 pages   [ abs   pdf   ps ]
On Deformations and Contractions of Lie Algebras
Alice Fialowski and Marc de Montigny
SIGMA, Vol. 2 (2006), Paper 048, 10 pages   [ abs   pdf   ps ]
Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems
Oksana V. Charkina and Mikhail M. Bogdan
SIGMA, Vol. 2 (2006), Paper 047, 12 pages   [ abs   pdf   ps ]
Scale-Dependent Functions, Stochastic Quantization and Renormalization
Mikhail V. Altaisky
SIGMA, Vol. 2 (2006), Paper 046, 17 pages   [ abs   pdf   ps ]
Electroweak Interaction Model with an Undegenerate Double Symmetry
Leonid M. Slad
SIGMA, Vol. 2 (2006), Paper 045, 8 pages   [ abs   pdf   ps ]
Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type
Stephen C. Anco
SIGMA, Vol. 2 (2006), Paper 044, 18 pages   [ abs   pdf   ps ]
Quasigraded Lie Algebras and Modified Toda Field Equations
Taras V. Skrypnyk
SIGMA, Vol. 2 (2006), Paper 043, 14 pages   [ abs   pdf   ps ]
On Transitive Systems of Subspaces in a Hilbert Space
Yuliya P. Moskaleva and Yurii S. Samoilenko
SIGMA, Vol. 2 (2006), Paper 042, 19 pages   [ abs   pdf   ps ]
Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation
Vladimir P. Burskii and Alexei S. Zhedanov
SIGMA, Vol. 2 (2006), Paper 041, 5 pages   [ abs   pdf   ps ]
Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter
Svetlana Kordyukova
SIGMA, Vol. 2 (2006), Paper 040, 11 pages   [ abs   pdf   ps ]
Combined Reduced-Rank Transform
Anatoli Torokhti and Phil Howlett
SIGMA, Vol. 2 (2006), Paper 039, 21 pages   [ abs   pdf   ps ]
On the Generalized Maxwell-Bloch Equations
Pavle Saksida
SIGMA, Vol. 2 (2006), Paper 038, 14 pages   [ abs   pdf   ps ]
Regular and Chaotic Regimes in Scalar Field Cosmology
Alexey V. Toporensky
SIGMA, Vol. 2 (2006), Paper 037, 12 pages   [ abs   pdf   ps ]
Poisson-Lie Odd Bracket on Grassmann Algebra
Dmitrij V. Soroka and Vyacheslav A. Soroka
SIGMA, Vol. 2 (2006), Paper 036, 8 pages   [ abs]   The paper withdrawn by the editors
Calogero Model(s) and Deformed Oscillators
Marijan Milekovic, Stjepan Meljanac and Andjelo Samsarov
SIGMA, Vol. 2 (2006), Paper 035, 11 pages   [ abs   pdf   ps ]
On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
Valentyna A. Groza and Ivan I. Kachuryk
SIGMA, Vol. 2 (2006), Paper 034, 8 pages   [ abs   pdf   ps ]
A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions
Agata Bezubik and Aleksander Strasburger
SIGMA, Vol. 2 (2006), Paper 033, 8 pages   [ abs   pdf   ps ]
Localized Induction Equation for Stretched Vortex Filament
Kimiaki Konno and Hiroshi Kakuhata
SIGMA, Vol. 2 (2006), Paper 032, 6 pages   [ abs   pdf   ps ]
q-Deformed Bi-Local Fields II
Haruki Toyoda and Shigefumi Naka
SIGMA, Vol. 2 (2006), Paper 031, 11 pages   [ abs   pdf   ps ]
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
Arthemy V. Kiselev and Thomas Wolf
SIGMA, Vol. 2 (2006), Paper 030, 19 pages   [ abs   pdf   ps ]
Large-j Expansion Method for Two-Body Dirac Equation
Askold Duviryak
SIGMA, Vol. 2 (2006), Paper 029, 12 pages   [ abs   pdf   ps ]
Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras
Rutwig Campoamor-Stursberg
SIGMA, Vol. 2 (2006), Paper 028, 11 pages   [ abs   pdf   ps ]
Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
M. Bienert, J. Flores, S.Yu. Kun and T.H. Seligman
SIGMA, Vol. 2 (2006), Paper 027, 7 pages   [ abs   pdf   ps ]
Functional Integral Approaches to the Bosonization of Effective Multi-Quark Interactions with UA(1) Breaking
Brigitte Hiller, Alexander A. Osipov, Véronique Bernard and Alex H. Blin
SIGMA, Vol. 2 (2006), Paper 026, 18 pages   [ abs   pdf   ps ]
Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells
Andrey A. Chernyuk and Volodymyr I. Sugakov
SIGMA, Vol. 2 (2006), Paper 025, 9 pages   [ abs   pdf   ps ]
On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account
Grigorii Zhislin
SIGMA, Vol. 2 (2006), Paper 024, 9 pages   [ abs   pdf   ps ]
A Banach Principle for Semifinite von Neumann Algebras
Vladimir Chilin and Semyon Litvinov
SIGMA, Vol. 2 (2006), Paper 023, 9 pages   [ abs   pdf   ps ]
Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras
Vladimir S. Gerdjikov and Georgi G. Grahovski
SIGMA, Vol. 2 (2006), Paper 022, 11 pages   [ abs   pdf   ps ]
On the Degenerate Multiplicity of the sl2 Loop Algebra for the 6V Transfer Matrix at Roots of Unity
Tetsuo Deguchi
SIGMA, Vol. 2 (2006), Paper 021, 10 pages   [ abs   pdf   ps ]
Duality-Symmetric Approach to General Relativity and Supergravity
Alexei J. Nurmagambetov
SIGMA, Vol. 2 (2006), Paper 020, 34 pages   [ abs   pdf   ps ]
Eigenvectors of Open Bazhanov-Stroganov Quantum Chain
Nikolai Iorgov
SIGMA, Vol. 2 (2006), Paper 019, 10 pages   [ abs   pdf   ps ]
Mathematical Analysis of a Generalized Chiral Quark Soliton Model
Asao Arai
SIGMA, Vol. 2 (2006), Paper 018, 12 pages   [ abs   pdf   ps ]
Applications of Symmetry Methods to the Theory of Plasma Physics
Giampaolo Cicogna, Francesco Ceccherini and Francesco Pegoraro
SIGMA, Vol. 2 (2006), Paper 017, 17 pages   [ abs   pdf   ps ]
Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory
Nobuyuki Sawado, Noriko Shiiki and Shingo Tanaka
SIGMA, Vol. 2 (2006), Paper 016, 11 pages   [ abs   pdf   ps ]
Auger Spectra and Different Ionic Charges Following 3s, 3p and 3d Sub-Shells Photoionization of Kr Atoms
Yehia A. Lotfy and Adel M. El-Shemi
SIGMA, Vol. 2 (2006), Paper 015, 7 pages   [ abs   pdf   ps ]
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Faruk Güngör
SIGMA, Vol. 2 (2006), Paper 014, 7 pages   [ abs   pdf   ps ]
Operator Gauge Symmetry in QED
Siamak Khademi and Sadollah Nasiri
SIGMA, Vol. 2 (2006), Paper 013, 7 pages   [ abs   pdf   ps ]
On Classical r-Matrix for the Kowalevski Gyrostat on so(4)
Igor V. Komarov and Andrey V. Tsiganov
SIGMA, Vol. 2 (2006), Paper 012, 9 pages   [ abs   pdf   ps ]
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States
Wolodymyr Skrypnik
SIGMA, Vol. 2 (2006), Paper 011, 6 pages   [ abs   pdf   ps ]
Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature
Francisco José Herranz and Ángel Ballesteros
SIGMA, Vol. 2 (2006), Paper 010, 22 pages   [ abs   pdf   ps ]
On Action Invariance under Linear Spinor-Vector Supersymmetry
Kazunari Shima and Motomu Tsuda
SIGMA, Vol. 2 (2006), Paper 009, 5 pages   [ abs   pdf   ps ]
Status Report on the Instanton Counting
Sergey Shadchin
SIGMA, Vol. 2 (2006), Paper 008, 11 pages   [ abs   pdf   ps ]
On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions
Vladimir Vasilchuk
SIGMA, Vol. 2 (2006), Paper 007, 12 pages   [ abs   pdf   ps ]
Orbit Functions
Anatoliy Klimyk and Jiri Patera
SIGMA, Vol. 2 (2006), Paper 006, 60 pages   [ abs   pdf   ps ]
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy
Andrei K. Svinin
SIGMA, Vol. 2 (2006), Paper 005, 11 pages   [ abs   pdf   ps ]
On Linearizing Systems of Diffusion Equations
Christodoulos Sophocleous and Ron J. Wiltshire
SIGMA, Vol. 2 (2006), Paper 004, 11 pages   [ abs   pdf   ps ]
Heat Kernel Measure on Central Extension of Current Groups in any Dimension
Rémi Léandre
SIGMA, Vol. 2 (2006), Paper 003, 4 pages   [ abs   pdf   ps ]
On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory
Gorazd Cvetic, Igor Kondrashuk and Ivan Schmidt
SIGMA, Vol. 2 (2006), Paper 002, 8 pages   [ abs   pdf   ps ]
Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
Oksana Ye. Hentosh
SIGMA, Vol. 2 (2006), Paper 001, 11 pages   [ abs   pdf   ps ]

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