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The Geometry of Ordinary Variational Equations
The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations.
Mathematical Results in Quantum Physics
The volume collects papers from talks given at QMath11 - Mathematical Results in Quantum Physics, which was held in Hradec Kralove, September 2010. These papers bring new and interesting results in quantum mechanics and information, quantum field theory, random systems, quantum chaos, as well as in the physics of social systems. Part of the contribution is dedicated to Ari Laptev on the occasion of his 60th birthday, in recognition of his mathematical results and his service to the community. The QMath conference series has played an important role in mathematical physics for more than two decades, typically attracting many of the best results achieved in the last three-year period, and the meeting in Hradec Kralove was no exception.
Mathematical Results In Quantum Physics - Proceedings Of The Qmath11 (With Dvd-rom)
The volume collects papers from talks given at QMath11 — Mathematical Results in Quantum Physics, which was held in Hradec Králové, September 2010. These papers bring new and interesting results in quantum mechanics and information, quantum field theory, random systems, quantum chaos, as well as in the physics of social systems. Part of the contribution is dedicated to Ari Laptev on the occasion of his 60th birthday, in recognition of his mathematical results and his service to the community. The QMath conference series has played an important role in mathematical physics for more than two decades, typically attracting many of the best results achieved in the last three-year period, and the meeting in Hradec Králové was no exception.
Ion Channels of Nociception
The Special Issue “Ion Channels of Nociception” contains 13 articles united by a focus on the peripheral mechanisms of pain. The content covers the mechanisms of neuropathic, inflammatory, and dental pain as well as pain in migraine and diabetes; nociceptive roles of P2X3, ASIC, Piezo and TRP channels; pain control through GPCRs and pharmacological agents; and nonpharmacological treatment with electroacupuncture.
Global Analysis and Applied Mathematics
These proceedings are divided into parts; global analysis and applications, and applied mathematics. Part one contains plenary lectures and other contributions devoted to current research in analysis on manifolds, differential equations, and mathematical physics. Part two conatins contributions on applications of differential and difference equations in different fields, and selected topics from theoretical physics.
Geometry and Physics
These are the 2008 Proceedings of an international workshop that happens every fall since 1992, in Spain or Portugal. It brings together geometers and physicists, to discuss the ideas and developments, in the areas of Lie algebroids, mechanics, Poisson, symplectic, Riemannian and Semi-Riemannian geometries, quantum mechanics, theory of fields, supergravity and supersymmetry.
