Mathematics of Open Quantum Systems, The: Dissipative and Non-Unitary Representations and Quantum Measurements, Makarov Konstantin A., Tsekanovskii Eduard R.
Автор: Andreas Liehr Название: Dissipative Solitons in Reaction Diffusion Systems ISBN: 364242984X ISBN-13(EAN): 9783642429842 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Integrating the concepts of classical and elementary particle interaction, this volume includes stripped-down model equations adaptable to numerous systems showing particle-like structures, making it a valuable source for researchers and graduate students.
Описание: The central result is an ingenious proof that the local temperature and voltage measurement in a nonequilibrium system of fermions exists and is unique, placing the concept of local temperature on a rigorous mathematical footing for the first time.
Описание: The series Texts and Monographs in Theoretical Physics collects advanced texts on selected topics from the broad and varied field of Theoretical Physics. The works in the series will enable the readers to get a deep understanding of current topics in Theoretical Physics, with a special emphasis on recent developments. They are aimed at advanced students and researchers in theoretical and mathematical physics, and can also serve as secondary reading for lectures and seminars at post-graduate levels.
Описание: Organisms endowed with life show a sense of awareness, interacting with and learning from the universe in and around them.
Автор: Mohsen Razavy Название: Classical And Quantum Dissipative Systems (Second Edition) ISBN: 9813207914 ISBN-13(EAN): 9789813207912 Издательство: World Scientific Publishing Цена: 12830.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.
Автор: Mohsen Razavy Название: Classical And Quantum Dissipative Systems (Second Edition) ISBN: 9813207906 ISBN-13(EAN): 9789813207905 Издательство: World Scientific Publishing Цена: 29304.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.
Автор: Daniel Braun Название: Dissipative Quantum Chaos and Decoherence ISBN: 3540411976 ISBN-13(EAN): 9783540411970 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This overview of the state of the art of research in an exciting field mainly emphasizes the development of a semiclassical formalism that allows one to incorporate the effect of dissipation and decoherence in a precise, yet tractable way into the quantum mechanics of classically chaotic systems.
Описание: 'All are every interesting topics treated with a high level of mathematical sophistication. One of the very useful tricks the author repeatedly resorts to is the introduction of one-parameter families of operators interpolating between two operators which appear naturally in the formalism. From this one-parameter family a differential equation for the determinant (or ratio of determinants) or for correlation functions is derived, which can then be solved. This is a very simple, elegant and powerful technique.'Mathematical Reviews ClippingsFunctional Integrals is a well-established method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and string theory. This book presents a unique, original and modern treatment of strings representations on Bosonic Quantum Chromodynamics and Bosonization theory on 2d Gauge Field Models, besides of rigorous mathematical studies on the analytical regularization scheme on Euclidean quantum field path integrals and stochastic quantum field theory. It follows an analytic approach based on Loop space techniques, functional determinant exact evaluations and exactly solubility of four dimensional QCD loop wave equations through Elfin Botelho fermionic extrinsic self avoiding string path integrals.
Описание: This thesis presents several related advances in the field of nonequilibrium quantum thermodynamics. The central result is an ingenious proof that the local temperature and voltage measurement in a nonequilibrium system of fermions exists and is unique, placing the concept of local temperature on a rigorous mathematical footing for the first time. As an intermediate step, a proof of the positivity of the Onsager matrix of linear response theory is given -- a statement of the second law of thermodynamics that had lacked an independent proof for 85 years. A new experimental method to measure the local temperature of an electron system using purely electrical techniques is also proposed, which could enable improvements to the spatial resolution of thermometry by several orders of magnitude. Finally, a new mathematically-exact definition for the local entropy of a quantum system in a nonequilibrium steady state is derived. Several different measures of the local entropy are discussed, relating to the thermodynamics of processes that a local observer with varying degrees of information about the microstates of the system could carry out, and it is shown that they satisfy a hierarchy of inequalities. Proofs of the third law of thermodynamics for generic open quantum systems are presented, taking into account the entropic contribution due to localized states. Appropriately normalized (per-state) local entropies are defined and are used to quantify the departure from local equilibrium.
Описание: Aimed at advanced students and active researchers in mathematics or theoretical physics, this book provides a detailed exposition of automorphic forms and representations, from the basics up to cutting-edge research topics at the interface between number theory and string theory.
Автор: Nassar Antonio B., Miret-Artйs Salvador Название: Bohmian Mechanics, Open Quantum Systems and Continuous Measurements ISBN: 3319852078 ISBN-13(EAN): 9783319852072 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail.
Автор: Antonio B. Nassar; Salvador Miret-Art?s Название: Bohmian Mechanics, Open Quantum Systems and Continuous Measurements ISBN: 3319536516 ISBN-13(EAN): 9783319536514 Издательство: Springer Рейтинг: Цена: 13555.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail.
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