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Functional Methods for the Solution of One-Dimensional Quantum Systems. Fusion Hierarchy, Functional Bethe Ansatz and Non-Linear Integral Equations

Автор:   Tobias W.
мягкая обложка
124 страниц
2011 год
Издательство:   Книга по Требованию
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3055 руб
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Описание:These results are picked up and generalized to arbitrary lengths using non-linear integral equations. Starting from the so-called fusion hierarchy non-linear integral equations are derived bearing the possibility to extract information about an eigenvalue of a specific state. For spin chains with diagonal boundary fields this setup has been well studied using algebraic Bethe ansatz and the inverse problem was solved by Kitanine for infinite chain lengths. The framework of the Quantum Inverse Scattering Method is used to study the hamiltonian of the XXX and XXZ spin chain with general boundary fields. Key ingredient is the underlying algebraic structure which is a combination of the Yang-Baxter algebra and a so-called Reflection algebra including boundary fields of arbitrary direction and strength. Finally a different approach to the case of non-diagonal boundary conditions is studied. In the case of non-diagonal boundary fields the lack of a reference state or pseudo vacuum prohibits the solution by algebraic Bethe ansatz. The method of separation of variables is not constrained in that sense and is applied to the XXX chain and a spin-boson model.


Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка Orthomol Immun Junior Сила иммунитета на страже Вашего ребенка

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Embedded Linux Primer: A Practical, Real-World Approach

Example embedded system Often the processor in an embedded system performs many functions beyond the traditional CPU. The hypothetical processor in Figure 2-1 contains an integrated UART for a serial interface, and integrated USB and Ethernet controllers. Many processors contain integrated peripherals. We look at several examples of integrated processors in Chapter 3, "Processor Basics." 2.2.1. Typical Embedded Linux Setup Often the first question posed by the newcomer to embedded Linux is, just what does one need to begin development? To answer that question, we look at a typical embedded Linux development setup (see Figure 2-2). Figure 2-2. Embedded Linux development setup Here we show a very common arrangement. We have a host development system, running your favorite desktop Linux distribution, such as Red Hat or SuSE or Debian Linux. Our embedded Linux target board is connected to the development host via an RS-232 serial cable. We plug the target board's Ethernet interface into a local Ethernet hub or switch, to which our development host is also attached via Ethernet ...»

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