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Advanced quantum mechanics. : materials and photons / Rainer Dick
New York, NY : Springer Science+Business Media, 2016.
694 pages : illustrations
Ký hiệu phân loại (DDC): 530.12
In this updated and expanded second edition of a well-received and invaluable textbook, Prof. Dick emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. Advanced Quantum Mechanics, Materials and Photons can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject as accessible as possible Appendices A and B also provide introductions to Lagrangian mechanics and the covariant formulation of electrodynamics. This second edition includes an additional 62 new problems as well as expanded sections on relativistic quantum fields and applications of quantum electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of tr ansition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes. Quantization is first discussed for the Schrödinger field before the relativistic Maxwell, Klein-Gordon and Dirac fields are quantized. Quantized Schrödinger field theory is not only important for condensed matter physics and materials science, but also provides the easiest avenue to general field quantization and is therefore also useful for students with an interest in nuclear and particle physics. The quantization of the Maxwell field is performed in Coulomb gauge. This is the appropriate and practically most useful quantization procedure in condensed matter physics, chemistry, and materials science because it naturally separates the effects of Coulomb interactions, exchange interactions, and photon scattering. The appendices contain additional material that is usually not found in standard quantum mechanics textbooks, including a completeness proof for Eigen functions of one-dimensional Sturm-Liouville problems, logarithms of matrices, and Green's functions in different dimensions.
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Endophysics :the world as an interface /Otto E. Rössler
Singapore : World Scientific, 1998
xvi, 204 pages. : illustrations ; 23 cm.
Ký hiệu phân loại (DDC): 530
What do yin-yang and the Lorenzian butterfly in chaos have in common? The outside perspective. Only by going very far outside - beyond the end of the world - do certain aspects of the world become intelligible. The computer makes it possible today to go after the interface. What does the world look like if you are an internally chaotic part? Is the world just a difference, an interface, a forcing function? Is it possible to identify those features which exist only from the inside? How far does the meta-unmaskability go? Is quantum mechanics a virtual reality? Can the microinterface be manipulated? Such questions are tackled in this book
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Foundations of quantum mechanics : an exploration of the physical meaning of quantum theory / Travis Norsen
Cham, Switzerland : Springer, 2017
316 pages. : illustrations
Ký hiệu phân loại (DDC): 530.12
Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is acces sible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.
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