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Mathematical Concepts of Quantum Mechanics
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.
Nonlinear Dynamics and Renormalization Group
This book contains the proceedings from the workshop, Nonlinear Dynamics and Renormalization Group, held at the Centre de recherches mathématiques (CRM) in Montréal (Canada), as part of the year-long program devoted to mathematical physics. In the book, active researchers in the fields of nonlinear partial differential equations and renormalization group contribute recent results on topics such as Ginzburg-Landau equations and blow-up of solutions of the nonlinear Schroedinger equations, quantum resonances, and renormalization group analysis in constructive quantum field theory. This volume offers the latest research in the rapidly developing fields of nonlinear equations and renormalization group.
The Pacific Reporter
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Methods of Mathematical Physics, Volume 2
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.
Wheel of Fortune
A Foreign Affairs Best Book of the Year on Eastern Europe and the Former Soviet Republics The Russian oil industry—which vies with Saudi Arabia as the world’s largest producer and exporter of oil, providing nearly 12 percent of the global supply—is facing mounting problems that could send shock waves through the Russian economy and worldwide. Wheel of Fortune provides an authoritative account of this vital industry from the last years of communism to its uncertain future. Tracking the interdependence among Russia’s oil industry, politics, and economy, Thane Gustafson shows how the stakes extend beyond international energy security to include the potential threat of a destabilized Rus...
The Bridge
A Marginal Revolution Best Book of the Year Winner of the Shulman Book Prize A noted expert on Russian energy argues that despite Europe’s geopolitical rivalries, natural gas and deals based on it unite Europe’s nations in mutual self-interest. Three decades after the fall of the Berlin Wall and the breakup of the Soviet empire, the West faces a new era of East–West tensions. Any vision of a modern Russia integrated into the world economy and aligned in peaceful partnership with a reunited Europe has abruptly vanished. Two opposing narratives vie to explain the strategic future of Europe, one geopolitical and one economic, and both center on the same resource: natural gas. In The Bridg...
