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

Volume 7, 2011

A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application
F. Alberto Grünbaum and Mizan Rahman
SIGMA 7 (2011), 119, 17 pages   [ abs   pdf ]
The Non-Autonomous Chiral Model and the Ernst Equation of General Relativity in the Bidifferential Calculus Framework
Aristophanes Dimakis, Nils Kanning and Folkert Müller-Hoissen
SIGMA 7 (2011), 118, 27 pages   [ abs   pdf ]
Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves
Igor G. Korepanov
SIGMA 7 (2011), 117, 23 pages   [ abs   pdf ]
Noncommutative Phase Spaces by Coadjoint Orbits Method
Ancille Ngendakumana, Joachim Nzotungicimpaye and Leonard Todjihounde
SIGMA 7 (2011), 116, 12 pages   [ abs   pdf ]
A Connection Formula of the Hahn-Exton q-Bessel Function
Takeshi Morita
SIGMA 7 (2011), 115, 11 pages   [ abs   pdf ]
Projective Metrizability and Formal Integrability
Ioan Bucataru and Zoltán Muzsnay
SIGMA 7 (2011), 114, 22 pages   [ abs   pdf ]
Breaking Pseudo-Rotational Symmetry through H+2 Metric Deformation in the Eckart Potential Problem
Nehemias Leija-Martinez, David Edwin Alvarez-Castillo and Mariana Kirchbach
SIGMA 7 (2011), 113, 11 pages   [ abs   pdf ]
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
Andrey V. Sokolov
SIGMA 7 (2011), 112, 16 pages   [ abs   pdf ]
Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
Alexander A. Andrianov and Andrey V. Sokolov
SIGMA 7 (2011), 111, 19 pages   [ abs   pdf ]
Statistical Thermodynamics of Polymer Quantum Systems
Guillermo Chacón-Acosta, Elisa Manrique, Leonardo Dagdug and Hugo A. Morales-Técotl
SIGMA 7 (2011), 110, 23 pages   [ abs   pdf ]
Routh Reduction by Stages
Bavo Langerock, Tom Mestdag and Joris Vankerschaver
SIGMA 7 (2011), 109, 31 pages   [ abs   pdf ]
Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Howard S. Cohl
SIGMA 7 (2011), 108, 15 pages   [ abs   pdf ]
Properties of the Exceptional (Xl) Laguerre and Jacobi Polynomials
Choon-Lin Ho, Satoru Odake and Ryu Sasaki
SIGMA 7 (2011), 107, 24 pages   [ abs   pdf ]
Classical and Quantum Dynamics on Orbifolds
Yuri A. Kordyukov
SIGMA 7 (2011), 106, 12 pages   [ abs   pdf ]
Dolbeault Complex on S4\{·} and S6\{·} through Supersymmetric Glasses
Andrei V. Smilga
SIGMA 7 (2011), 105, 14 pages   [ abs   pdf ]
The Space of Connections as the Arena for (Quantum) Gravity
Steffen Gielen
SIGMA 7 (2011), 104, 12 pages   [ abs   pdf ]
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
Merced Montesinos and Mercedes Velázquez
SIGMA 7 (2011), 103, 13 pages   [ abs   pdf ]
Classical and Quantum Dilogarithm Identities
Rinat M. Kashaev and Tomoki Nakanishi
SIGMA 7 (2011), 102, 29 pages   [ abs   pdf ]
A Relativistic Conical Function and its Whittaker Limits
Simon Ruijsenaars
SIGMA 7 (2011), 101, 54 pages   [ abs   pdf ]
Families of Integrable Equations
Pavlos Kassotakis and Maciej Nieszporski
SIGMA 7 (2011), 100, 14 pages   [ abs   pdf ]
The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl2)
Paul Terwilliger
SIGMA 7 (2011), 099, 26 pages   [ abs   pdf ]
Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization
F. Alberto Grünbaum, Manuel D. de la Iglesia and Andrei Martínez-Finkelshtein
SIGMA 7 (2011), 098, 31 pages   [ abs   pdf ]
Symmetries of the Continuous and Discrete Krichever-Novikov Equation
Decio Levi, Pavel Winternitz and Ravil I. Yamilov
SIGMA 7 (2011), 097, 16 pages   [ abs   pdf ]
Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces
Vladimir S. Gerdjikov, Georgi G. Grahovski, Alexander V. Mikhailov and Tihomir I. Valchev
SIGMA 7 (2011), 096, 48 pages   [ abs   pdf ]
On Darboux's Approach to R-Separability of Variables
Antoni Sym and Adam Szereszewski
SIGMA 7 (2011), 095, 21 pages   [ abs   pdf ]
Four-Dimensional Spin Foam Perturbation Theory
João Faria Martins and Aleksandar Mikovic
SIGMA 7 (2011), 094, 22 pages   [ abs   pdf ]
From slq(2) to a Parabosonic Hopf Algebra
Satoshi Tsujimoto, Luc Vinet and Alexei Zhedanov
SIGMA 7 (2011), 093, 13 pages   [ abs   pdf ]
An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials
Abdallah Ghressi, Lotfi Khériji and Mohamed Ihsen Tounsi
SIGMA 7 (2011), 092, 20 pages   [ abs   pdf ]
Symplectic Maps from Cluster Algebras
Allan P. Fordy and Andrew Hone
SIGMA 7 (2011), 091, 12 pages   [ abs   pdf ]
Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
Benjamin McKay
SIGMA 7 (2011), 090, 11 pages   [ abs   pdf ]
A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms
Mike C. Hay
SIGMA 7 (2011), 089, 12 pages   [ abs   pdf ]
An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)
Eric M. Rains
SIGMA 7 (2011), 088, 24 pages   [ abs   pdf ]
Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs
Martijn Caspers
SIGMA 7 (2011), 087, 39 pages   [ abs   pdf ]
Time Asymmetric Quantum Mechanics
Arno R. Bohm, Manuel Gadella and Piotr Kielanowski
SIGMA 7 (2011), 086, 13 pages   [ abs   pdf ]
On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Mehdi Rafie-Rad and Bahman Rezaei
SIGMA 7 (2011), 085, 12 pages   [ abs   pdf ]
Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
Yusef Maleki
SIGMA 7 (2011), 084, 20 pages   [ abs   pdf ]
A Lorentz-Covariant Connection for Canonical Gravity
Marc Geiller, Marc Lachièze-Rey, Karim Noui and Francesco Sardelli
SIGMA 7 (2011), 083, 10 pages   [ abs   pdf ]
Discrete-Time Goldfishing
Francesco Calogero
SIGMA 7 (2011), 082, 35 pages   [ abs   pdf ]
On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators
Daryoush Talati and Refik Turhan
SIGMA 7 (2011), 081,  8 pages   [ abs   pdf ]
The 2-Transitive Transplantable Isospectral Drums
Jeroen Schillewaert and Koen Thas
SIGMA 7 (2011), 080,  8 pages   [ abs   pdf ]
Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
Decio Levi and Christian Scimiterna
SIGMA 7 (2011), 079, 24 pages   [ abs   pdf ]
Harmonic Analysis on Quantum Complex Hyperbolic Spaces
Olga Bershtein and Yevgen Kolisnyk
SIGMA 7 (2011), 078, 19 pages   [ abs   pdf ]
Quantum Analogs of Tensor Product Representations of su(1,1)
Wolter Groenevelt
SIGMA 7 (2011), 077, 17 pages   [ abs   pdf ]
Third Order ODEs Systems and Its Characteristic Connections
Alexandr Medvedev
SIGMA 7 (2011), 076, 15 pages   [ abs   pdf ]
On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants
Oleg I. Mokhov
SIGMA 7 (2011), 075, 19 pages   [ abs   pdf ]
A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
Shin Isojima and Junkichi Satsuma
SIGMA 7 (2011), 074,  9 pages   [ abs   pdf ]
Singularities of Type-Q ABS Equations
James Atkinson
SIGMA 7 (2011), 073, 14 pages   [ abs   pdf ]
Appell Transformation and Canonical Transforms
Amalia Torre
SIGMA 7 (2011), 072, 34 pages   [ abs   pdf ]
From Quantum AN (Calogero) to H4 (Rational) Model
Alexander V. Turbiner
SIGMA 7 (2011), 071, 20 pages   [ abs   pdf ]
Klein Topological Field Theories from Group Representations
Sergey A. Loktev and Sergey M. Natanzon
SIGMA 7 (2011), 070, 15 pages   [ abs   pdf ]
The Universal Askey-Wilson Algebra
Paul Terwilliger
SIGMA 7 (2011), 069, 24 pages   [ abs   pdf ]
Recurrence Coefficients of a New Generalization of the Meixner Polynomials
Galina Filipuk and Walter Van Assche
SIGMA 7 (2011), 068, 11 pages   [ abs   pdf ]
1+1 Gaudin Model
Andrei V. Zotov
SIGMA 7 (2011), 067, 26 pages   [ abs   pdf ]
Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
Stephen C. Anco, Sajid Ali and Thomas Wolf
SIGMA 7 (2011), 066, 11 pages   [ abs   pdf ]
Emergent Supersymmetry in Warped Backgrounds
Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto and Makoto Sakamoto
SIGMA 7 (2011), 065, 13 pages   [ abs   pdf ]
Structure Constants of Diagonal Reduction Algebras of gl Type
Sergei Khoroshkin and Oleg Ogievetsky
SIGMA 7 (2011), 064, 34 pages   [ abs   pdf ]
Balance Systems and the Variational Bicomplex
Serge Preston
SIGMA 7 (2011), 063, 18 pages   [ abs   pdf ]
On Algebraically Integrable Differential Operators on an Elliptic Curve
Pavel Etingof and Eric Rains
SIGMA 7 (2011), 062, 19 pages   [ abs   pdf ]
Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation
Jarmo Hietarinta and Da-jun Zhang
SIGMA 7 (2011), 061, 14 pages   [ abs   pdf ]
The BGG Complex on Projective Space
Michael G. Eastwood and A. Rod Gover
SIGMA 7 (2011), 060, 18 pages   [ abs   pdf ]
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A6(1)
Mikio Murata
SIGMA 7 (2011), 059, 15 pages   [ abs   pdf ]
Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S2×S3
Charles P. Boyer
SIGMA 7 (2011), 058, 22 pages   [ abs   pdf ]
Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
Alberto Carignano, Lorenzo Fatibene, Raymond G. McLenaghan and Giovanni Rastelli
SIGMA 7 (2011), 057, 13 pages   [ abs   pdf ]
Quantum Group Uq(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
Tetsuo Deguchi and Jun Sato
SIGMA 7 (2011), 056, 41 pages   [ abs   pdf ]
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Yuri Bozhkov and Peter J. Olver
SIGMA 7 (2011), 055,  9 pages   [ abs   pdf ]
Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler-Coulomb Potential
Yannis Tanoudis and Costas Daskaloyannis
SIGMA 7 (2011), 054, 11 pages   [ abs   pdf ]
The Fourier U(2) Group and Separation of Discrete Variables
Kurt Bernardo Wolf and Luis Edgar Vicent
SIGMA 7 (2011), 053, 18 pages   [ abs   pdf ]
The Role of Symmetry and Separation in Surface Evolution and Curve Shortening
Philip Broadbridge and Peter Vassiliou
SIGMA 7 (2011), 052, 19 pages   [ abs   pdf ]
Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere
Ernie G. Kalnins, Willard Miller Jr. and Sarah Post
SIGMA 7 (2011), 051, 26 pages   [ abs   pdf ]
On Parameter Differentiation for Integral Representations of Associated Legendre Functions
Howard S. Cohl
SIGMA 7 (2011), 050, 16 pages   [ abs   pdf ]
Symmetries in Connection Preserving Deformations
Christopher M. Ormerod
SIGMA 7 (2011), 049, 13 pages   [ abs   pdf ]
Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform
Ángel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco and Danilo Riglioni
SIGMA 7 (2011), 048, 15 pages   [ abs   pdf ]
The Fourier Transform on Quantum Euclidean Space
Kevin Coulembier
SIGMA 7 (2011), 047, 30 pages   [ abs   pdf ]
Rational Solutions of the H3 and Q1 Models in the ABS Lattice List
Ying Shi and Da-jun Zhang
SIGMA 7 (2011), 046, 11 pages   [ abs   pdf ]
The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I
Christopher M. Ormerod
SIGMA 7 (2011), 045, 22 pages   [ abs   pdf ]
Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time
Nicolás Fernández-García and Oscar Rosas-Ortiz
SIGMA 7 (2011), 044, 17 pages   [ abs   pdf ]
Recursions of Symmetry Orbits and Reduction without Reduction
Andrei A. Malykh and Mikhail B. Sheftel
SIGMA 7 (2011), 043, 13 pages   [ abs   pdf ]
Potentials Unbounded Below
Thomas Curtright
SIGMA 7 (2011), 042, 20 pages   [ abs   pdf ]
Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System, Using Madelung's Approach
Anca Visinescu, Dan Grecu, Renato Fedele and Sergio De Nicola
SIGMA 7 (2011), 041, 11 pages   [ abs   pdf ]
On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials
Tom H. Koornwinder
SIGMA 7 (2011), 040,  8 pages   [ abs   pdf ]
Essential Parabolic Structures and Their Infinitesimal Automorphisms
Jesse Alt
SIGMA 7 (2011), 039, 16 pages   [ abs   pdf ]
First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator
Claudia Chanu, Luca Degiovanni and Giovanni Rastelli
SIGMA 7 (2011), 038, 12 pages   [ abs   pdf ]
Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies
Mihai Visinescu
SIGMA 7 (2011), 037, 14 pages   [ abs   pdf ]
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Sarah Post
SIGMA 7 (2011), 036, 20 pages   [ abs   pdf ]
Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions
Christiane Quesne
SIGMA 7 (2011), 035, 21 pages   [ abs   pdf ]
Natural and Projectively Invariant Quantizations on Supermanifolds
Thomas Leuther and Fabian Radoux
SIGMA 7 (2011), 034, 12 pages   [ abs   pdf ]
An Exactly Solvable Spin Chain Related to Hahn Polynomials
Neli I. Stoilova and Joris Van der Jeugt
SIGMA 7 (2011), 033, 13 pages   [ abs   pdf ]
Quantum Integrable Model of an Arrangement of Hyperplanes
Alexander Varchenko
SIGMA 7 (2011), 032, 55 pages   [ abs   pdf ]
A Recurrence Relation Approach to Higher Order Quantum Superintegrability
Ernie G. Kalnins, Jonathan M. Kress and Willard Miller Jr.
SIGMA 7 (2011), 031, 24 pages   [ abs   pdf ]
Rational Solutions of the Sasano System of Type A5(2)
Kazuhide Matsuda
SIGMA 7 (2011), 030, 20 pages   [ abs   pdf ]
Supersymmetry Transformations for Delta Potentials
David J. Fernández C., Manuel Gadella and Luis Miguel Nieto
SIGMA 7 (2011), 029, 14 pages   [ abs   pdf ]
Dynamical Studies of Equations from the Gambier Family
Partha Guha, Anindya Ghose Choudhury and Basil Grammaticos
SIGMA 7 (2011), 028, 15 pages   [ abs   pdf ]
Two Point Correlation Functions for a Periodic Box-Ball System
Jun Mada and Tetsuji Tokihiro
SIGMA 7 (2011), 027, 16 pages   [ abs   pdf ]
Vector-Valued Jack Polynomials from Scratch
Charles F. Dunkl and Jean-Gabriel Luque
SIGMA 7 (2011), 026, 48 pages   [ abs   pdf ]
Supersymmetric Quantum Mechanics and Painlevé IV Equation
David Bermúdez and David J. Fernández C.
SIGMA 7 (2011), 025, 14 pages   [ abs   pdf ]
Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
Véronique Hussin and Ian Marquette
SIGMA 7 (2011), 024, 16 pages   [ abs   pdf ]
N=4 Multi-Particle Mechanics, WDVV Equation and Roots
Olaf Lechtenfeld, Konrad Schwerdtfeger and Johannes Thürigen
SIGMA 7 (2011), 023, 21 pages   [ abs   pdf ]
Beyond the Gaussian
Kazuyuki Fujii
SIGMA 7 (2011), 022, 12 pages   [ abs   pdf ]
Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
Amira Ghorbel
SIGMA 7 (2011), 021, 16 pages   [ abs   pdf ]
A Bochner Theorem for Dunkl Polynomials
Luc Vinet and Alexei Zhedanov
SIGMA 7 (2011), 020,  9 pages   [ abs   pdf ]
The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
Spyros Alexakis
SIGMA 7 (2011), 019, 41 pages   [ abs   pdf ]
Planarizable Supersymmetric Quantum Toboggans
Miloslav Znojil
SIGMA 7 (2011), 018, 24 pages   [ abs   pdf ]
Orthogonality Relations for Multivariate Krawtchouk Polynomials
Hiroshi Mizukawa
SIGMA 7 (2011), 017,  5 pages   [ abs   pdf ]
On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum
Sergey M. Zagorodnyuk
SIGMA 7 (2011), 016,  9 pages   [ abs   pdf ]
Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
Evgeny A. Ivanov
SIGMA 7 (2011), 015, 14 pages   [ abs   pdf ]
Schrödinger-like Dilaton Gravity
Yu Nakayama
SIGMA 7 (2011), 014, 12 pages   [ abs   pdf ]
Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
Haret C. Rosu and Kira V. Khmelnytskaya
SIGMA 7 (2011), 013,  9 pages   [ abs   pdf ]
Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
Ghali Filali and Nikolai Kitanine
SIGMA 7 (2011), 012, 22 pages   [ abs   pdf ]
Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems
Ghader Najarbashi and Yusef Maleki
SIGMA 7 (2011), 011, 11 pages   [ abs   pdf ]
Integration of Cocycles and Lefschetz Number Formulae for Differential Operators
Ajay C. Ramadoss
SIGMA 7 (2011), 010, 26 pages   [ abs   pdf ]
Introduction to Sporadic Groups
Luis J. Boya
SIGMA 7 (2011), 009, 18 pages   [ abs   pdf ]
A Vertex Operator Approach for Form Factors of Belavin's (Z/nZ)-Symmetric Model and Its Application
Yas-Hiro Quano
SIGMA 7 (2011), 008, 16 pages   [ abs   pdf ]
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States
Hermann Boos
SIGMA 7 (2011), 007, 36 pages   [ abs   pdf ]
Coordinate Bethe Ansatz for Spin s XXX Model
Nicolas Crampé, Eric Ragoucy and Ludovic Alonzi
SIGMA 7 (2011), 006, 13 pages   [ abs   pdf ]
The Quantum 3D Superparticle
Luca Mezincescu and Paul K. Townsend
SIGMA 7 (2011), 005, 11 pages   [ abs   pdf ]
Correlation Function and Simplified TBA Equations for XXZ Chain
Minoru Takahashi
SIGMA 7 (2011), 004, 15 pages   [ abs   pdf ]
Intertwinors on Functions over the Product of Spheres
Doojin Hong
SIGMA 7 (2011), 003,  7 pages   [ abs   pdf ]
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
Sergei Sakovich
SIGMA 7 (2011), 002,  5 pages   [ abs   pdf ]
Bäcklund Transformations for the Kirchhoff Top
Orlando Ragnisco and Federico Zullo
SIGMA 7 (2011), 001, 13 pages   [ abs   pdf ]

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