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Non Hermitian Quantum Mechanics

Author: Nimrod Moiseyev
Publisher: Cambridge University Press
ISBN: 1139496999
Size: 41.93 MB
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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.

Non Hermitian Hamiltonians In Quantum Physics

Author: Fabio Bagarello
Publisher: Springer
ISBN: 3319313568
Size: 61.76 MB
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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.

Advanced Topics In Theoretical Chemical Physics

Author: Jean Maruani
Publisher: Springer Science & Business Media
ISBN: 9781402015649
Size: 14.87 MB
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Advanced Topics in Theoretical Chemical Physics is a collection of 20 selected papers from the scientific presentations of the Fourth Congress of the International Society for Theoretical Chemical Physics (ISTCP) held at Marly-le-Roi, France, in July 2002. Advanced Topics in Theoretical Chemical Physics encompasses a broad spectrum in which scientists place special emphasis on theoretical methods in chemistry and physics. The chapters in the book are divided into five sections: I: Advances Chemical Thermodynamics II: Electronic Structure of Molecular Systems III: Molecular Interaction and Dynamics IV: Condensed Matter V: Playing with Numbers This book is an invaluable resource for all academics and researchers interested in theoretical, quantum or statistical, chemical physics or physical chemistry. It presents a selection of some of the most advanced methods, results and insights in this exciting area.

Non Selfadjoint Operators In Quantum Physics

Author: Fabio Bagarello
Publisher: John Wiley & Sons
ISBN: 1118855280
Size: 24.91 MB
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This is the first collective book to capture the mathematicalapplications of quantum mechanics, including a complete overview of the state-of-the-art of in the spectral theory pfnon-adjoiunt operators. that is provided. Appropriatefor scientists, including mathematicians and theoreticaland applied physics, who apply functional analysis and algebraicoperators to their work in comtmeporary quantumphysics. With contributions from internationallyrecognized researchers, this book features the recent emergance ofthe boundedness of metric operators, which is a serious issue inthe study of PT-symmetric quantum mechanics. In addition,mathematical questions that were previously glossed over are nowthe subject of rigorous analysis, with potentially significantphysical consequences. Chapter coverage includes: metricoperators, generlized hermiticity and lattices of Hilbert spaces;non-selfadjoint Schroedinger operators; spectral-theoreticapproaches to non-selfadjoint operators; deformed canonical (anti-)commutation relation and non-hermitian hamiltonians; PT-symmetricoperators in quantum mechanics and Krein spaces methods; andoperator integrals, sesquilinear form measures, and generalizedeigenvalue expansions.

Grundkurs Theoretische Physik 2

Author: Wolfgang Nolting
Publisher: Springer-Verlag
ISBN: 3642419801
Size: 14.61 MB
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Der beliebte Grundkurs Theoretische Physik deckt in sieben Bänden alle für das Diplom maßgeblichen Gebiete ab. Jeder Band vermittelt gut durchdacht das im jeweiligen Semester nötige theoretische-physikalische Rüstzeug. Zahlreiche Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffes. Der zweite Band behandelt die Mechanik in der Lagrange-, Hamilton- und Hamilton-Jacobi-Formulierung. Die vorliegende neue Auflage wurde grundlegend überarbeitet und ergänzt. Sie ermöglicht durch die zweifarbige Darstellung einen sehr übersichtlichen und schnellen Zugriff auf den Lehrstoff.

Non Hermitian Optics

Author: Absar Ulhassan
Size: 76.85 MB
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Some interesting properties associated with degeneracies in non-Hermitian settings will be investigated as well. Such degeneracies, called exceptional points (EPs), are much more drastic compared to standard degeneracies of eigenvalues because the corresponding eigenvectors also coalesce, which in turn reduces the dimensionality of the phase space. We will show that dynamic parameter contours enclosing or close to EPs can lead to a robust chiral mode conversion process--something that can be potentially used to realize omni-polarizing optical devices.