Non Hermitian Quantum Mechanics

Author : Nimrod Moiseyev
Publisher : Cambridge University Press
ISBN 13 : 1139496999
Total Pages : 409 pages
Book Rating : 4.95/5 ( download)

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Download or read book Non-Hermitian Quantum Mechanics written by Nimrod Moiseyev and published by Cambridge University Press. This book was released on 2011-02-17 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it is useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena - perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics, where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations.

Author : Nimrod Moiseyev
Publisher :
ISBN 13 : 9780511992124
Total Pages : 394 pages
Book Rating : 4.22/5 ( download)

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Download or read book Non-Hermitian Quantum Mechanics written by Nimrod Moiseyev and published by . This book was released on 2011 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it will be useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena - perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations"--

Author : Carl M Bender
Publisher : World Scientific Publishing
ISBN 13 : 1786345978
Total Pages : 468 pages
Book Rating : 4.74/5 ( download)

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Download or read book PT Symmetry written by Carl M Bender and published by World Scientific Publishing. This book was released on 2018-11-22 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originated by the author in 1998, the field of PT (parity-time) symmetry has become an extremely active and exciting area of research. PT-symmetric quantum and classical systems have theoretical, experimental, and commercial applications, and have been the subject of many journal articles, PhD theses, conferences, and symposia. Carl Bender's work has influenced major advances in physics and generations of students. This book is an accessible entry point to PT symmetry, ideal for students and scientists looking to begin their own research projects in this field.

Author : Carlos André
Publisher : Birkhäuser
ISBN 13 : 3319724495
Total Pages : 372 pages
Book Rating : 4.92/5 ( download)

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Download or read book Operator Theory, Operator Algebras, and Matrix Theory written by Carlos André and published by Birkhäuser. This book was released on 2018-08-22 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. Reflecting recent developments in the field of algebras of operators, operator theory and matrix theory, it particularly focuses on groupoid algebras and Fredholm conditions, algebras of approximation sequences, C* algebras of convolution type operators, index theorems, spectrum and numerical range of operators, extreme supercharacters of infinite groups, quantum dynamics and operator algebras, and inverse eigenvalue problems. Establishing bridges between the three related areas of operator algebras, operator theory, and matrix theory, the book is aimed at researchers and graduate students who use results from these areas.

Author : Fabio Bagarello
Publisher : Springer
ISBN 13 : 9783319313542
Total Pages : 0 pages
Book Rating : 4.41/5 ( download)

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Download or read book Non-Hermitian Hamiltonians in Quantum Physics written by Fabio Bagarello and published by Springer. This book was released on 2016-05-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the Proceedings of the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, held in Palermo, Italy, from 18 to 23 May 2015. Non-Hermitian operators, and non-Hermitian Hamiltonians in particular, have recently received considerable attention from both the mathematics and physics communities. There has been a growing interest in non-Hermitian Hamiltonians in quantum physics since the discovery that PT-symmetric Hamiltonians can have a real spectrum and thus a physical relevance. The main subjects considered in this book include: PT-symmetry in quantum physics, PT-optics, Spectral singularities and spectral techniques, Indefinite-metric theories, Open quantum systems, Krein space methods, and Biorthogonal systems and applications. The book also provides a summary of recent advances in pseudo-Hermitian Hamiltonians and PT-symmetric Hamiltonians, as well as their applications in quantum physics and in the theory of open quantum systems.

Author : Nimrod Moiseyev
Publisher : Cambridge University Press
ISBN 13 : 9780521889728
Total Pages : 410 pages
Book Rating : 4.23/5 ( download)

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Download or read book Non-Hermitian Quantum Mechanics written by Nimrod Moiseyev and published by Cambridge University Press. This book was released on 2011-02-17 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it is useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena - perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics, where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations.

Author : Fabio Bagarello
Publisher : Springer
ISBN 13 : 3319313568
Total Pages : 399 pages
Book Rating : 4.66/5 ( download)

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Download or read book Non-Hermitian Hamiltonians in Quantum Physics written by Fabio Bagarello and published by Springer. This book was released on 2016-05-27 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the Proceedings of the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, held in Palermo, Italy, from 18 to 23 May 2015. Non-Hermitian operators, and non-Hermitian Hamiltonians in particular, have recently received considerable attention from both the mathematics and physics communities. There has been a growing interest in non-Hermitian Hamiltonians in quantum physics since the discovery that PT-symmetric Hamiltonians can have a real spectrum and thus a physical relevance. The main subjects considered in this book include: PT-symmetry in quantum physics, PT-optics, Spectral singularities and spectral techniques, Indefinite-metric theories, Open quantum systems, Krein space methods, and Biorthogonal systems and applications. The book also provides a summary of recent advances in pseudo-Hermitian Hamiltonians and PT-symmetric Hamiltonians, as well as their applications in quantum physics and in the theory of open quantum systems.

Author : Ravinder R. Puri
Publisher : Cambridge University Press
ISBN 13 : 1107164362
Total Pages : 457 pages
Book Rating : 4.69/5 ( download)

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Download or read book Non-Relativistic Quantum Mechanics written by Ravinder R. Puri and published by Cambridge University Press. This book was released on 2017-07-04 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Introduces readers to non-relativistic quantum mechanics and its mathematical methods"--

Author : Vasily Tarasov
Publisher : Elsevier
ISBN 13 : 0080559719
Total Pages : 555 pages
Book Rating : 4.11/5 ( download)

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Download or read book Quantum Mechanics of Non-Hamiltonian and Dissipative Systems written by Vasily Tarasov and published by Elsevier. This book was released on 2008-06-06 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006. • Requires no preliminary knowledge of graduate and advanced mathematics • Discusses the fundamental results of last 15 years in this theory• Suitable for courses for undergraduate students as well as graduate students and specialists in physics mathematics and other sciences

Author : Demetrios Christodoulides
Publisher : Springer
ISBN 13 : 9811312478
Total Pages : 579 pages
Book Rating : 4.72/5 ( download)

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Download or read book Parity-time Symmetry and Its Applications written by Demetrios Christodoulides and published by Springer. This book was released on 2018-11-28 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive review of the state-of-the-art theoretical and experimental advances in linear and nonlinear parity-time-symmetric systems in various physical disciplines, and surveys the emerging applications of parity-time (PT) symmetry. PT symmetry originates from quantum mechanics, where if the Schrodinger operator satisfies the PT symmetry, then its spectrum can be all real. This concept was later introduced into optics, Bose-Einstein condensates, metamaterials, electric circuits, acoustics, mechanical systems and many other fields, where a judicious balancing of gain and loss constitutes a PT-symmetric system. Even though these systems are dissipative, they exhibit many signature properties of conservative systems, which make them mathematically and physically intriguing. Important PT-symmetry applications have also emerged. This book describes the latest advances of PT symmetry in a wide range of physical areas, with contributions from the leading experts. It is intended for researchers and graduate students to enter this research frontier, or use it as a reference book.