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


Volume 1, 2005


Representations of U(2∞) and the Value of the Fine Structure Constant
William H. Klink
SIGMA 1 (2005), 028, 8 pages   [ abs   pdf   ps ]
Integrable Anisotropic Evolution Equations on a Sphere
Anatoly G. Meshkov and Maxim Ju. Balakhnev
SIGMA 1 (2005), 027, 11 pages   [ abs   pdf   ps ]
Conservation Laws of Discrete Korteweg-de Vries Equation
Olexandr G. Rasin and Peter E. Hydon
SIGMA 1 (2005), 026, 6 pages   [ abs   pdf   ps ]
Compact Simple Lie Groups and Their C-, S-, and E-Transforms
Jiri Patera
SIGMA 1 (2005), 025, 6 pages   [ abs   pdf   ps ]
Symmetry Properties of Autonomous Integrating Factors
Sibusiso Moyo and P.G.L. Leach
SIGMA 1 (2005), 024, 12 pages   [ abs   pdf   ps ]
Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
Ismagil T. Habibullin
SIGMA 1 (2005), 023, 9 pages   [ abs   pdf   ps ]
Noether Symmetries and Critical Exponents
Yuri Bozhkov
SIGMA 1 (2005), 022, 12 pages   [ abs   pdf   ps ]
Pachner Move 3 –> 3 and Affine Volume-Preserving Geometry in R3
Igor G. Korepanov
SIGMA 1 (2005), 021, 7 pages   [ abs   pdf   ps ]
Exact Propagators for Soliton Potentials
Andrey M. Pupasov and Boris F. Samsonov
SIGMA 1 (2005), 020, 7 pages   [ abs   pdf   ps ]
Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
Alexey Borisov, Alexander Shapovalov and Andrey Trifonov
SIGMA 1 (2005), 019, 17 pages   [ abs   pdf   ps ]
Ermakov's Superintegrable Toy and Nonlocal Symmetries
P.G.L. Leach, A. Karasu (Kalkanli), M.C. Nucci and K. Andriopoulos
SIGMA 1 (2005), 018, 15 pages   [ abs   pdf   ps ]
Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants
George Bogoslovsky
SIGMA 1 (2005), 017, 9 pages     [ abs   pdf   ps ]
Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials
Valentyna Groza
SIGMA 1 (2005), 016, 7 pages     [ abs   pdf   ps ]
Second Order Superintegrable Systems in Three Dimensions
Willard Miller
SIGMA 1 (2005), 015, 17 pages   [ abs   pdf   ps ]
On Chaotic Dynamics in Rational Polygonal Billiards
Valery Kokshenev
SIGMA 1 (2005), 014, 9 pages     [ abs   pdf   ps ]
Simple Derivation of Quasinormal Modes for Arbitrary Spins
Iosif Khriplovich and Gennady Ruban
SIGMA 1 (2005), 013, 6 pages     [ abs   pdf   ps ]
Radiation Reaction, Renormalization and Poincaré Symmetry
Yurij Yaremko
SIGMA 1 (2005), 012, 10 pages   [ abs   pdf   ps ]
Connections Between Symmetries and Conservation Laws
George Bluman
SIGMA 1 (2005), 011, 16 pages   [ abs   pdf   ps ]
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice
Pantelis A. Damianou and Franco Magri
SIGMA 1 (2005), 010, 12 pages   [ abs   pdf   ps ]
Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries
Renat Zhdanov and Victor Lahno
SIGMA 1 (2005), 009, 7 pages     [ abs   pdf   ps ]
Spectra of Observables in the q-Oscillator and q-Analogue of the Fourier Transform
Anatoliy U. Klimyk
SIGMA 1 (2005), 008, 17 pages   [ abs   pdf   ps ]
Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential
Alexander Shapovalov, Andrey Trifonov and Alexander Lisok
SIGMA 1 (2005), 007, 14 pages   [ abs   pdf   ps ]
Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches
Oleg I. Morozov
SIGMA 1 (2005), 006, 14 pages   [ abs   pdf   ps ]
Andrew Lenard: A Mystery Unraveled
Jeffery Praught and Roman G. Smirnov
SIGMA 1 (2005), 005, 7 pages     [ abs   pdf   ps ]
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion
Manuel F. Rañada
SIGMA 1 (2005), 004, 7 pages     [ abs   pdf   ps ]
Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation
Marcos Moshinsky and Emerson Sadurní
SIGMA 1 (2005), 003, 9 pages     [ abs   pdf   ps ]
Multi-Instantons in Higher Dimensions and Superstring Solitons
Eugene K. Loginov
SIGMA 1 (2005), 002, 4 pages     [ abs   pdf   ps ]
The Differential Form Method for Finding Symmetries
B. Kent Harrison
SIGMA 1 (2005), 001, 12 pages   [ abs   pdf   ps ]

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