Quantum Mechanics II: Advanced Topics uses more than a decade of research and the authors’ own teaching experience to expound on some of the more advanced topics and current research in quantum mechanics. A follow-up to the authors introductory book Quantum Mechanics I: The Fundamentals, this book begins with a chapter on quantum field theory, and goes on to present basic principles, key features, and applications. It outlines recent quantum technologies and phenomena, and introduces growing topics of interest in quantum mechanics. The authors describe promising applications that include ghost imaging, detection of weak amplitude objects, entangled two-photon microscopy, detection of small displacements, lithography, metrology, and teleportation of optical images. They also present worked-out examples and provide numerous problems at the end of each chapter.
Quantum Information Theory (QIT) is a highly interdisciplinary field, and many different areas of mathematics have played key roles in its development. Recently the topics of hypercontractivity (HC) and logarithmic Sobolev (LS) inequalities have found applications in a variety of problems within QIT, and this has led to a growth of interest among researchers in the field. The purpose of this workshop was to bring together researchers from both the ‘traditional’ areas of application and also the new areas of interest in QIT. Some talks were expository, some covered current areas of research, and some presented ideas for new directions of research.
Many authors outlined the students' difficulties in the conceptual understanding of quantum physics. One of the major problems is that students find the mathematical language used to describe these systems (that cannot be seen) generally too obscure. A lot of research has been done to use computer visualizations of quantum mechanical topics and it proved to be a powerful and flexible tool, allowing to see through the mathematics. In this work it is shown how the use of different visualizations regarding bound states (and in particular the hydrogen atom) may be useful to foster a deeper understanding of topics of very general interest for the study of quantum physics.