Application Of The Factorization Method To Problems Of Quantum Mechanics
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| Author | : Shi-Hai Dong |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 308 |
| Release | : 2007-04-01 |
| Genre | : Science |
| ISBN | : 1402057962 |
This book introduces the factorization method in quantum mechanics at an advanced level, with the aim of putting mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the reader’s disposal. For this purpose, the text provides a comprehensive description of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in quantum mechanics textbooks.
| Author | : Yehuda B. Band |
| Publisher | : Academic Press |
| Total Pages | : 993 |
| Release | : 2013-01-10 |
| Genre | : Science |
| ISBN | : 0444537872 |
Quantum mechanics transcends and supplants classical mechanics at the atomic and subatomic levels. It provides the underlying framework for many subfields of physics, chemistry and materials science, including condensed matter physics, atomic physics, molecular physics, quantum chemistry, particle physics, and nuclear physics. It is the only way we can understand the structure of materials, from the semiconductors in our computers to the metal in our automobiles. It is also the scaffolding supporting much of nanoscience and nanotechnology. The purpose of this book is to present the fundamentals of quantum theory within a modern perspective, with emphasis on applications to nanoscience and nanotechnology, and information-technology. As the frontiers of science have advanced, the sort of curriculum adequate for students in the sciences and engineering twenty years ago is no longer satisfactory today. Hence, the emphasis on new topics that are not included in older reference texts, such as quantum information theory, decoherence and dissipation, and on applications to nanotechnology, including quantum dots, wires and wells. - This book provides a novel approach to Quantum Mechanics whilst also giving readers the requisite background and training for the scientists and engineers of the 21st Century who need to come to grips with quantum phenomena - The fundamentals of quantum theory are provided within a modern perspective, with emphasis on applications to nanoscience and nanotechnology, and information-technology - Older books on quantum mechanics do not contain the amalgam of ideas, concepts and tools necessary to prepare engineers and scientists to deal with the new facets of quantum mechanics and their application to quantum information science and nanotechnology - As the frontiers of science have advanced, the sort of curriculum adequate for students in the sciences and engineering twenty years ago is no longer satisfactory today - There are many excellent quantum mechanics books available, but none have the emphasis on nanotechnology and quantum information science that this book has
| Author | : Kevin Costello |
| Publisher | : Cambridge University Press |
| Total Pages | : 399 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 1107163102 |
This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.
| Author | : Sandra Pinelas |
| Publisher | : Springer |
| Total Pages | : 640 |
| Release | : 2018-05-08 |
| Genre | : Mathematics |
| ISBN | : 3319756478 |
This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017. The editors have compiled the strongest research presented at the conference, providing readers with valuable insights into new trends in the field, as well as applications and high-level survey results. The goal of the ICDDEA was to promote fruitful collaborations between researchers in the fields of differential and difference equations. All areas of differential and difference equations are represented, with a special emphasis on applications.
| Author | : Kokula Krishna Hari Kunasekaran |
| Publisher | : Association of Scientists, Developers and Faculties (ASDF) |
| Total Pages | : 273 |
| Release | : 2015-04-30 |
| Genre | : Computers |
| ISBN | : 8192974251 |
Welcome to the International Conference on Inter Disciplinary Research in Engineering and Technology (ICIDRET) 2015 in DSIIDC, Government of NCT, New Delhi, India, Asia on 29 – 30 April, 2015. If this is your first time to New Delhi, you need to look on more objects which you could never forget in your lifetime. There is much to see and experience at The National Capital of Republic of India. The concept of Inter Disciplinary research was a topic of focus by various departments across the Engineering and Technology area. Flushing with major areas, this ICIDRET ’15 has addressed the E&T areas like Mechanical Engineering, Civil Engineering, Electrical Engineering, Bio-Technology, Bio-Engineering, Bio-Medical, Computer Science, Electronics & Communication Engineering, Management and Textile Engineering. This focus has brought a new insight on the learning methodologies and the terminology of accepting the cross definition of engineering and the research into it. We invite you to join us in this inspiring conversation. I am pretty sure that this conference would indulge the information from the various parts of the world and could coin as a global research gathering. With more and more researchers coming into ICIDRET, this event would be as an annual event. This conference is sure that, this edition and the future edition will serve as a wise platform for the people to come with better research methodologies integrating each and every social component globally. If there would have been a thought of not integrating the RJ45 and few pieces of metal / plastic along with a PCB, today we could haven’t used the telephones and mobile phones. With an ear-mark inspiration and constant support from the Global President Dr. S. Prithiv Rajan, ASDF International President Dr. P. Anbuoli, this publication stands in front of your eyes, without them this would haven’t been possible in a very shortest span. Finally, I thank my family, friends, students and colleagues for their constant encouragement and support for making this type of conference. -- Kokula Krishna Hari K Editor-in-Chief www.kokulakrishnaharik.in
| Author | : Khang, Alex |
| Publisher | : IGI Global |
| Total Pages | : 510 |
| Release | : 2024-01-31 |
| Genre | : Science |
| ISBN | : |
In a world driven by technology and data, classical computing faces limitations in tackling complex challenges like climate modeling and financial risk assessment. These barriers impede our aspirations to revolutionize industries and solve intricate real-world problems. To bridge this gap, we must embrace quantum computing. Edited by Alex Khang PH, Principles and Applications of Quantum Computing is a transformative solution to this challenge. It delves into the interdisciplinary realms of computer science, physics, and mathematics, unveiling the incredible potential of quantum computing, which outperforms supercomputers by 158 million times. This technology, rooted in quantum mechanics, offers solutions to global problems and opens new frontiers in AI, cybersecurity, finance, drug development, and more. By engaging with this book, you become a pioneer in the quantum revolution, contributing to reshaping the limits of what's achievable in our digital age.
| Author | : Library of Congress |
| Publisher | : |
| Total Pages | : 1678 |
| Release | : 2010 |
| Genre | : Subject headings, Library of Congress |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 518 |
| Release | : 1992-05 |
| Genre | : Power resources |
| ISBN | : |
| Author | : Evgeny V. Doktorov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 413 |
| Release | : 2007-05-19 |
| Genre | : Science |
| ISBN | : 1402061404 |
This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. Throughout, the text exploits the "linear experience" of presentation, with special attention given to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions.
| Author | : Allen Hirshfeld |
| Publisher | : World Scientific |
| Total Pages | : 216 |
| Release | : 2012 |
| Genre | : Science |
| ISBN | : 1848167970 |
The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book. Analysis of the concept of eccentricity of the orbits turns out to be essential to understanding the relation of the classical and quantum mechanical models. The opportunity is taken to relive the great moments of physics: From Kepler's discovery of the laws of motion of the planets the development is traced through the Dirac equation up to modern advances, which bring the concepts of supersymmetry to bear on the derivation of the solutions.
