Geodesic

Tome 5 (2009)

Sommaire

Three-Hilbert-Space Formulation of Quantum Mechanics
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
Quiver Varieties and Branching
Remarks on Multi-Dimensional Conformal Mechanics
Generalized Nonanalytic Expansions, $\mathcal{PT}$-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
Heisenberg-Type Families in $U_q(\widehat{sl_2})$
On the Spectrum of a Discrete Non-Hermitian Quantum System
Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials
Self-Consistent-Field Method and $\tau$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
Hecke–Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Simple Finite Jordan Pseudoalgebras
The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space
Imaginary Powers of the Dunkl Harmonic Oscillator
Comments on the Dynamics of the Pais–Uhlenbeck Oscillator
Inverse Spectral Problems for Tridiagonal $N$ by $N$ Complex Hamiltonians
Besov-Type Spaces on $\mathbb R^d $ and Integrability for the Dunkl Transform
Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups
Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
Conformal Killing–Yano Tensors on Manifolds with Mixed 3-Structures
Nonlinear Dirac Equations
Bäcklund Transformations for First and Second Painlevé Hierarchies
Inversion Formulas for the Spherical Radon–Dunkl Transform
Induced Modules for Affine Lie Algebras
$q$-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik–Zamolodchikov Equations
Hochschild Cohomology and Deformations of Clifford–Weyl Algebras
Limits of Gaudin Systems: Classical and Quantum Cases
Nonlocal Operational Calculi for Dunkl Operators
Differential and Functional Identities for the Elliptic Trilogarithm
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
Homological Algebra and Divergent Series
Hypergeometric $\tau$-Functions of the $q$-Painlevé System of Type $E_7^{(1)}$
Three Natural Generalizations of Fedosov Quantization
Hilbert Transforms Associated with Dunkl–Hermite Polynomials
Elliptic Hypergeometric Solutions to Elliptic Difference Equations
Intertwining Symmetry Algebras of Quantum Superintegrable Systems
Middle Convolution and Heun's Equation
A First Order $q$-Difference System for the $BC_1$-Type Jackson Integral and Its Applications
A Lax Formalism for the Elliptic Difference Painlevé Equation
The Analytic Continuation of the Lippmann–Schwinger Eigenfunctions, and Antiunitary Symmetries
Quantum Symmetries for Exceptional $\mathrm{SU}(4)$ Modular Invariants Associated with Conformal Embeddings
The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature
Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations
$\mathcal{PT}$ Symmetry and QCD: Finite Temperature and Density
Singularities of Affine Schubert Varieties
Hilbert–Schmidt Operators vs. Integrable Systems of Elliptic Calogero–Moser Type. III. The Heun Case
Partial Sums of Two Quartic $q$-Series
Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review
Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
An Alternative Canonical Approach to the Ghost Problem in a Complexified Extension of the Pais–Uhlenbeck Oscillator
Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras
Dunkl Operators and Canonical Invariants of Reflection Groups
Extension Phenomena for Holomorphic Geometric Structures
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix
Cartan Connections and Lie Algebroids
On the Moore Formula of Compact Nilmanifolds
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
Monopoles and Modifications of Bundles over Elliptic Curves
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
Symplectic Applicability of Lagrangian Surfaces
Boundaries of Graphs of Harmonic Functions
Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution
On Brane Solutions Related to Non-Singular Kac–Moody Algebras
Inversion of the Dual Dunkl–Sonine Transform on $\mathbb R$ Using Dunkl Wavelets
Clifford Fibrations and Possible Kinematics
On Linear Differential Equations Involving a Para-Grassmann Variable
Deformation Quantization of Poisson Structures Associated to Lie Algebroids
Image Sampling with Quasicrystals
The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One
On the Structure of Lie Pseudo-Groups
On Spinor Varieties and Their Secants
About Twistor Spinors with Zero in Lorentzian Geometry
Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition
Higher Order Connections
Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics
Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators
Natural Intrinsic Geometrical Symmetries
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
Trigonometric Solutions of WDVV Equations and Generalized Calogero–Moser–Sutherland Systems
Comment on “Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty”
Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology
A Method for Weight Multiplicity Computation Based on Berezin Quantization
Existence and Construction of Vessiot Connections
Compact Riemannian Manifolds with Homogeneous Geodesics
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type
Geometry of Control-Affine Systems
Factor-Group-Generated Polar Spaces and (Multi-)Qudits
Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2
Contact Geometry of Curves
Geometric Structures on Spaces of Weighted Submanifolds
Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
On a Whitham-Type Equation
Singularity Classes of Special 2-Flags
Isomorphism of Intransitive Linear Lie Equations
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras
Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matrix
On Projective Equivalence of Univariate Polynomial Subspaces
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac–Moody Algebras
Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff–Toda Hierarchy
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
Second-Order Conformally Equivariant Quantization in Dimension $1|2$