Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.
In particular, the existence of fundamental solutions is shown for those (non-autonomous) C*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematics with little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C*-algebraic setting for lattice fermions, as well as the celebrated Lieb-Robinson bounds for commutators, are explained in detail, for completeness.
Автор: Yakir Aharonov Название: Quantum Paradoxes: Quantum Theory for the Perplexed ISBN: 3527403914 ISBN-13(EAN): 9783527403912 Издательство: Wiley Рейтинг: Цена: 13504.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the perspective of a preeminent researcher in the fundamental aspects of quantum mechanics, this text combines mathematical rigor with concise language. It includes more than 200 problem sets that introduce readers to the concepts and implications of quantum mechanics.
Автор: Jacobs Название: Quantum Measurement Theory and its Applications ISBN: 1107025486 ISBN-13(EAN): 9781107025486 Издательство: Cambridge Academ Рейтинг: Цена: 13147.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Understanding quantum measurement theory is essential in subjects ranging from thermodynamics to experiments on mesoscopic systems. This book introduces graduate students and researchers in physics to the basic theory and its applications. Topics covered include quantum control, metrology, the thermodynamics of Maxwell`s demon, and the emergence of classical chaos.
Автор: Bongaarts, Peter Название: Quantum theory. ISBN: 3319095609 ISBN-13(EAN): 9783319095608 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures - a fact not usually emphasized in standard physics textbooks - which makes it easy for mathematicians to understand their basic features.
Автор: PA Martin F Rothen Название: Many-body Problems and Quantum Field Theory: An Introduction ISBN: 3540213201 ISBN-13(EAN): 9783540213208 Издательство: Springer Рейтинг: Цена: 13060.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "Many-Body Problems and Quantum Field Theory".
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