Semi-Classical Approximation in Quantum Mechanics, Victor P. Maslov; M.V. Fedoriuk

Автор: Perelomov A. M.
Название: Integrable Systems of Classical Mechanics and Lie Algebras Volume I
ISBN: 3764323361 ISBN-13(EAN): 9783764323363
Издательство: Springer
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Описание: The investigation of integrable systems was an important line of study. Remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. This book focuses on the development and applications of this method.

Автор: M. Sachs
Название: Quantum Mechanics from General Relativity
ISBN: 9027722471 ISBN-13(EAN): 9789027722478
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Описание: It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory.

Автор: Erich Joos; H. Dieter Zeh; Claus Kiefer; Domenico
Название: Decoherence and the Appearance of a Classical World in Quantum Theory
ISBN: 3642055761 ISBN-13(EAN): 9783642055768
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Описание: When we were preparing the first edition of this book, the concept of de- coherence was known only to a minority of physicists. In the meantime, a wealth of contributions has appeared in the literature - important ones as well as serious misunderstandings. The phenomenon itself is now experimen- tally clearly established and theoretically well understood in principle. New fields of application, discussed in the revised book, are chaos theory, informa- tion theory, quantum computers, neuroscience, primordial cosmology, some aspects of black holes and strings, and others. While the first edition arose from regular discussions between the authors, thus leading to a clear" entanglement" of their otherwise quite different chap- ters, the latter have thereafter evolved more or less independently. While this may broaden the book's scope as far as applications and methods are con- cerned, it may also appear confusing to the reader wherever basic assumptions and intentions differ (as they do). For this reason we have rearranged the or- der of the authors: they now appear in the same order as the chapters, such that those most closely related to the "early" and most ambitious concept of decoherence are listed first. The first three authors (Joos, Zeh, Kiefer) agree with one another that decoherence (in contradistinction to the Copen- hagen interpretation) allows one to eliminate primary classical concepts, thus neither relying on an axiomatic concept of observables nor on a probability interpretation of the wave function in terms of classical concepts.

Автор: Rolf Bader
Название: Computational Mechanics of the Classical Guitar
ISBN: 3642064256 ISBN-13(EAN): 9783642064258
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Описание: Computational Mechanics of the Classical Guitar describes a new dynamic paradigm in instrument acoustics based on time-dependent transient analysis and simulation of complete musical instruments.

Автор: D.Y. Petrina
Название: Mathematical Foundations of Quantum Statistical Mechanics
ISBN: 079233258X ISBN-13(EAN): 9780792332589
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Описание: For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord- ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant.

Автор: Austin Blaquiere
Название: Modeling and Control of Systems in Engineering, Quantum Mechanics, Economics and Biosciences
ISBN: 3540507906 ISBN-13(EAN): 9783540507901
Издательство: Springer
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Описание: Part I of this book accounts for new developments concerning robustness, systems with two time scales and related treatments utilizing singular perturbation analysis. Part II is mainly concerned with systems in which uncertainty comes out through quantum mechanical rules;

Автор: K.H. Namsrai
Название: Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics
ISBN: 9027720010 ISBN-13(EAN): 9789027720016
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Описание: over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes such as the relativistic description of diffusion, Feynman- type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and his co-workers indicating a possible non locality property of quantum mechanics, may also be obtained. Aspect's results have recently inspired a great interest in different nonlocal theories and models devoted to an understanding of the implications of this nonlocality. This book consists of two parts.

Автор: Daniela Dragoman; Mircea Dragoman
Название: Quantum-Classical Analogies
ISBN: 3642057667 ISBN-13(EAN): 9783642057663
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Описание:

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 very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light - localized light, frozen light - seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.

Автор: G.N. Afanasiev
Название: Topological Effects in Quantum Mechanics
ISBN: 0792358007 ISBN-13(EAN): 9780792358008
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Описание: Coverage includes: the topological effects of quantum mechanics, including Bohm-Aharonov and Aharonov-Casher effects and their generalisations; the toroidal moments, anapoles and their generalisations; the numerical investigation of Tonomura experiments testing the foundations of quantum mechanics; and, the time-dependent Bohm-Aharonov effect.

Автор: W.-H. Steeb
Название: Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
ISBN: 0792352319 ISBN-13(EAN): 9780792352310
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Описание: A comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalized function theory. All the major modern techniques and approaches used in quantum mechanics are introduced.

Автор: Andreas Knauf; Yakov G. Sinai
Название: Classical Nonintegrability, Quantum Chaos
ISBN: 3764357088 ISBN-13(EAN): 9783764357085
Издательство: Springer
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Описание: Includes several lectures given at the DMV Seminar `Classical Nonintegrability, Quantum Chaos`. This work features chapters on irregular scattering and on expanding maps that illustrate techniques in nonlinear dynamics using the simple examples.

Автор: Arthur S. Wightman; A. Shimony
Название: Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics
ISBN: 3642081797 ISBN-13(EAN): 9783642081798
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Описание: The first part of this third volume of Wigner`s Collected Works is devoted to his analysis of symmetries in quantum mechanics, of the relativistic wave equations, of relativistic particle theory, and of field theory.