Geodesic

Tome 7 (2011)

Sommaire

Bäcklund Transformations for the Kirchhoff Top
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
Intertwinors on Functions over the Product of Spheres
Correlation Function and Simplified TBA Equations for XXZ Chain
The Quantum 3D Superparticle
Coordinate Bethe Ansatz for Spin $s$ XXX Model
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States
A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and
Introduction to Sporadic Groups
Integration of Cocycles and Lefschetz Number Formulae for Differential Operators
Entanglement of Grassmannian Coherent States for Multi-Partite $n$-Level Systems
Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End
Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
Schrödinger-like Dilaton Gravity
Harmonic Superfields in $\mathcal N=4$ Supersymmetric Quantum Mechanics
On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum
Orthogonality Relations for Multivariate Krawtchouk Polynomials
Planarizable Supersymmetric Quantum Toboggans
The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
A Bochner Theorem for Dunkl Polynomials
Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
Beyond the Gaussian
$\mathcal N=4$ Multi-Particle Mechanics, WDVV Equation and Roots
Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
Supersymmetric Quantum Mechanics and Painlevé IV Equation
Vector-Valued Jack Polynomials from Scratch
Two Point Correlation Functions for a Periodic Box-Ball System
Dynamical Studies of Equations from the Gambier Family
Supersymmetry Transformations for Delta Potentials
Rational Solutions of the Sasano System of Type $A_5^{(2)}$
A Recurrence Relation Approach to Higher Order Quantum Superintegrability
Quantum Integrable Model of an Arrangement of Hyperplanes
An Exactly Solvable Spin Chain Related to Hahn Polynomials
Natural and Projectively Invariant Quantizations on Supermanifolds
Revisiting the Symmetries of the Quantum Smorodinsky–Winternitz System in $D$ Dimensions
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum
First Integrals of Extended Hamiltonians in $n+1$ Dimensions Generated by Powers of an Operator
Essential Parabolic Structures and Their Infinitesimal Automorphisms
On the Limit from $q$-Racah Polynomials to Big $q$-Jacobi Polynomials
Periodic and Solitary Wave Solutions of Two Component Zakharov–Yajima–Oikawa System, Using Madelung's Approach
Potentials Unbounded Below
Recursions of Symmetry Orbits and Reduction without Reduction
Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time
The Lattice Structure of Connection Preserving Deformations for $q$-Painlevé Equations I
Rational Solutions of the H3 and Q1 Models in the ABS Lattice List
The Fourier Transform on Quantum Euclidean Space
Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform
Symmetries in Connection Preserving Deformations
On Parameter Differentiation for Integral Representations of Associated Legendre Functions
Two-Variable Wilson Polynomials and the Generic Superintegrable System on the $3$-Sphere
The Role of Symmetry and Separation in Surface Evolution and Curve Shortening
The Fourier $\mathsf U(2)$ Group and Separation of Discrete Variables
Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler–Coulomb Potential
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Quantum Group $U_q(sl(2))$ Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$
The BGG Complex on Projective Space
Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation
On Algebraically Integrable Differential Operators on an Elliptic Curve
Balance Systems and the Variational Bicomplex
Structure Constants of Diagonal Reduction Algebras of $\mathfrak{gl}$ Type
Emergent Supersymmetry in Warped Backgrounds
Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
$1+1$ Gaudin Model
Recurrence Coefficients of a New Generalization of the Meixner Polynomials
The Universal Askey–Wilson Algebra
Klein Topological Field Theories from Group Representations
From Quantum $A_N$ (Calogero) to $H_4$ (Rational) Model
Appell Transformation and Canonical Transforms
Singularities of Type-Q ABS Equations
A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
On Initial Data in the Problem of Consistency on Cubic Lattices for $3\times3$ Determinants
Third Order ODEs Systems and Its Characteristic Connections
Quantum Analogs of Tensor Product Representations of $\mathfrak{su}(1,1)$
Harmonic Analysis on Quantum Complex Hyperbolic Spaces
Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf–Cole Transformations
The 2-Transitive Transplantable Isospectral Drums
On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators
Discrete-Time Goldfishing
A Lorentz-Covariant Connection for Canonical Gravity
Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian $q$-Oscillator and their Entanglement
On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Time Asymmetric Quantum Mechanics
Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs
An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)
A Completeness Study on Certain $2\times2$ Lax Pairs Including Zero Terms
Holomorphic Parabolic Geometries and Calabi–Yau Manifolds
Symplectic Maps from Cluster Algebras
An Introduction to the $q$-Laguerre–Hahn Orthogonal $q$-Polynomials
From $sl_q(2)$ to a Parabosonic Hopf Algebra
Four-Dimensional Spin Foam Perturbation Theory
On Darboux's Approach to $R$-Separability of Variables
Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces
Symmetries of the Continuous and Discrete Krichever–Novikov Equation
Properties of Matrix Orthogonal Polynomials via their Riemann–Hilbert Characterization
The Universal Askey–Wilson Algebra and the Equitable Presentation of $U_q(\mathfrak{sl}_2)$
Families of Integrable Equations
A Relativistic Conical Function and its Whittaker Limits
Classical and Quantum Dilogarithm Identities
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
The Space of Connections as the Arena for (Quantum) Gravity
Dolbeault Complex on $S^4\setminus \{\,\cdot\,\}$ and $S^6\setminus\{\,\cdot\,\}$ through Supersymmetric Glasses
Classical and Quantum Dynamics on Orbifolds
Properties of the Exceptional ($X_{\ell}$) Laguerre and Jacobi Polynomials
Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Routh Reduction by Stages
Statistical Thermodynamics of Polymer Quantum Systems
Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
Breaking pseudo-rotational symmetry through $\mathbf H^2_+$ metric deformation in the Eckart potential problem
Projective Metrizability and Formal Integrability
A Connection Formula of the Hahn–Exton $q$-Bessel Function
Noncommutative Phase Spaces by Coadjoint Orbits Method
Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves
The Non-Autonomous Chiral Model and the Ernst Equation of General Relativity in the Bidifferential Calculus Framework
A system of multivariable Krawtchouk polynomials and a probabilistic application