Advances in One-Dimensional Wave Mechanics provides a comprehensive description of the motion of microscopic particles in one-dimensional, arbitrary-shaped potentials based on the analogy between Quantum Mechanics and Electromagnetism. Utilizing a deeper understanding of the wave nature of matter, this book introduces the concept of the scattered sub-waves and a series of new analytical results using the Analytical Transfer Matrix (ATM) method. This work will be useful for graduate students majoring in physics, mainly in basic quantum theory, as well as for academic researchers exploring electromagnetism, particle physics, and wave mechanics and for experts in the field of optical waveguide and integrated optics.
Prof. Zhuangqi Cao is a Professor of Physics at Shanghai Jiao Tong University, China.
Dr. Cheng Yin is a teacher at Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, China.
Presenting a new approach to qualitative analysis of integrable geodesic flows based on the theory of topological classification of integrable Hamiltonian systems, this is the first book to apply this technique systematically to a wide class of integrable systems. The first part of the book provides an introduction to the qualitative theory of integrable Hamiltonian systems and their invariants (symplectic geometry, integrability, the topology of Liouville foliations, the orbital classification theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom, obstructions to integrability, etc). In the second part, the class of integrable geodesic flows on two-dimensional surfaces is discussed both from the classical and contemporary point of view. The authors classify them up to different equivalence relations such as an isometry, the Liouville equivalence, the trajectory equivalence (smooth and continuous), and the geodesic equivalence. A new technique, which provides the possibility to classify integrable geodesic flows up to these kinds of equivalences, is presented together with applications. Together with systematic presentation of wide material on this subject, the book contains previously unpublished new results, and is enhanced with many original illustrations.
This case-based clinical text is an exhaustive review of orthodontic problems in the vertical dimension, with evidence-based guidelines for successful diagnosis and treatment. A total of 21 cases address dental deep bites, skeletal deep bites, dental open bites, skeletal open bites, and posterior open bites. Each case includes pretreatment, interim, and posttreatment orthodontic records, as well as references to provide a solid evidence base for decision making. Written with a clinical focus, Orthodontics in the Vertical Dimension is ideal for the practicing orthodontist and makes an excellent resource for residents in pursuit of board certification.
• Detailed case-based scenarios for treatment of the spectrum of open bites and deep bites
• Cases presented in question and answer format to encourage thought
• 2500 clinical photographs and illustrations.
“This is a great textbook, and I will use it in my classes. Highly organized and elaborately illustrated, the authors’ work is inspired by problem-based learning and stimulates cognitive processes by encouraging critical thinking. Their text deserves a ‘must read’ category for orthodontic professionals of all ages.”
Dr. Jeryl D. English DDS, MS, Chairman and Graduate Program Director, Department of Orthodontics, The University of Texas Health Science Center at Houston
“A terrific book for students of orthodontics and dentofacial orthopedics, covering the vertical dimension and much more. A wide range of cases are presented, treatment plans are realistic, and the authors openly discuss complications encountered during treatment.”
Dr. Greg J. Huang, DMD, MSD, MPH Professor and Chair Department of Orthodontics, The University of Washington School of Dentistry
“This comprehensive text prepares the reader in the context of a mini-residency with a question answer teaching style. Resident and experienced orthodontists can match their cases with fully worked up patients and alternative treatment options. Well written.”
Dr. Katherine L. Vig, BDS, MS, FDS, D.Orth Professor Emeritus and Former Head of Orthodontics, The Ohio State University College of Dentistry