Kategoria BISAC: Science >> Physics - Quantum Theory

Quantum maps are presented with special emphasis on their physical origin. They represent a testing ground for understanding concepts in quantized chaotic systems. The book teaches the modern mathematical methods from analytic and algebraic number theory as applied to quantum maps. It gives a broad and in-depth overview of the mathematical problems arising in this area. Also treated are the numerical aspects in quantum chaos such as eigenvalue and eigenfunctions computations for chaotic quantum systems. The book addresses scientists and advanced students in mathematics and mathematical...

Femtosecond technology, with its ultrashort light pulses, forms an innovative laser technology which can be used for multiple technical applications. The book gives a comprehensive overview of the principles and applications of femtosecond lasers, especially applied to medicine and to production technology. The principles and features of such femtosecond technology are described. The lasers, systems and technologies that are required in these potential fields of application are investigated. The advantages and problems of ultrashort laser pulses are discussed in more detail in the context...

At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important,...

It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrodinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics...

Quantum mechanics, formulated by Werner Heisenberg in 1925, belongs among the greatest achievements of physics. "Fundamental Physics: Heisenberg and Beyond" combines personal tributes to Werner Heisenberg with assessments of his impact on current and future developments in physics. The first part presents two essays commemorating Werner Heisenberg's 100th birthday, and these are complemented by a short and nicely illustrated biographical note in the appendix. In the second part, incisive articles by ten world-leading scientists explain important developments in fundamental physics to a...

Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a solid foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions.

It emphasizes principles and notions of the theory (e.g. self-organization, stochastic feedback, free energy, and Markov processes), while also illustrating the wide applicability (e.g. collective behavior, multistability, front dynamics, and quantum particle distribution).

The focus is on relaxation processes in homogeneous...

Many-Body Problems and Quantum Field Theory introduces the concepts and methods of the topics on a level suitable for graduate students and researchers. The formalism is developed in close conjunction with the description of a number of physical systems: cohesion and dielectric properties of the electron gas, superconductivity, superfluidity, nuclear matter and nucleon pairing, matter and radiation, interaction of fields by particle exchange and mass generation. Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with...

Each contribution is an article in itself, and great effort has been made by the authors to be lucid and not too technical. A few brief highlights of the round-table discussions are given between the chapters.

Topics include: Quantum non-locality, the measurement problem, quantum insights into relativity, cosmology and thermodynamics, and possible bearings of quantum mechanics to biology and consciousness. Authors include Yakir Aharanov and Anton Zeilinger, plus Nobel laureates Anthony J. Leggett (2003) and Gerardus t Hooft (1999).

Foreword written by Sir Roger Penrose, best-selling...

Consciousness is one of the major unsolved problems in science. How do the feelings and sensations making up conscious experience arise from the concerted actions of nerve cells and their associated synaptic and molecular processes? Can such feelings be explained by modern science, or is there an entirely different kind of explanation needed? And how can this seemingly intractable problem be approached experimentally? How do the operations of the conscious mind emerge out of the specific interactions involving billions of neurons? This multi-authored book seeks answers to these questions...

Quantum dots, sometimes called artificial atoms, are exquisite tools by which quantum behavior can be probed on a larger scale than the atomic, namely on the nanometer scale. While the physics exhibited by these devices is closer to classical than atomic physics, quantum dots are still sufficiently small to clearly exhibit quantum phenomena. This volume, intended for graduate students and young researchers, offers an introduction to many of these fascinating aspects. In the first lecture, R. Shankar treats the general theoretical aspects of Fermi liquids, in particular the renormalization...

In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics as well as classical relativistic mechanics appear as special cases. They are the sources of familiar names such as "orbital angular momentum," "spin-orbit coupling" and "magnetic moment" for operators of the relativistic quantum formalism. The theory of binaries, in terms of differential equations, is treated for the first time in this book. These have the mathematical structure of the...

This course on quantum mechanics offers a fresh and modern approach to the field. It is a textbook on the principles of the theory, its mathematical framework and its first applications. It consistently refers to modern and practical developments, such as tunneling microscopy, quantum information, Bell inequalities, quantum cryptography, Bose-Einstein condensation and quantum astrophysics. The book contains 92 exercises with their solutions.

Supplementary material on extras.springer.comcontains outstanding and "easy access" Java-based simulations, which illustratively help the...

This volume brings together leading quantum physicists to expound on the meaning and future directions of quantum mechanics. It offers new insights from different vantage points to tackle essential questions in quantum mechanics and its interpretation. All the authors have written for a broad readership, and the resulting volume will appeal to everyone wishing to keep abreast of new developments in quantum mechanics, as well as its history and philosophy.