non hermitian quantum mechanics

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Non Hermitian Quantum Mechanics

Author : Nimrod Moiseyev
ISBN : 9781139496995
Genre : Science
File Size : 76. 20 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.

Manipulating Light Using Non Hermitian Quantum Mechanics

Author : Fabián Andrés Olivares Legal
ISBN : OCLC:954254290
Genre :
File Size : 86. 4 MB
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Quantum Mechanics For Non Hermitian Hamiltonians With Pt Symmetries

Author : Gustavo D. Duarte
ISBN : OCLC:993601159
Genre : Hamiltonian graph theory
File Size : 26. 9 MB
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Non Hermitian Hamiltonians In Quantum Physics

Author : Fabio Bagarello
ISBN : 9783319313566
Genre : Science
File Size : 81. 56 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.

Fundamental World Of Quantum Chemistry

Author : Per-Olov Löwdin
ISBN : 1402012918
Genre : Science
File Size : 53. 59 MB
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Per-Olov Löwdin's stature has been a symbol of the world of quantum theory during the past five decades, through his basic contributions to the development of the conceptual framework of Quantum Chemistry and introduction of the fundamental concepts; through a staggering number of regular summer schools, winter institutes, innumerable lectures at Uppsala, Gainesville and elsewhere, and Sanibel Symposia; by founding the International Journal of Quantum Chemistry and Advances in Quantum Chemistry; and through his vision of the possible and his optimism for the future, which has inspired generations of physicists, chemists, mathematicians, and biologists to devote their lives to molecular electronic theory and dynamics, solid state, and quantum biology. Fundamental World of Quantum Chemistry: Volumes I, II and III form a collection of papers dedicated to the memory of Per-Olov Löwdin. These volumes are of interest to a broad audience of quantum, theoretical, physical, biological, and computational chemists; atomic, molecular, and condensed matter physicists; biophysicists; mathematicians working in many-body theory; and historians and philosophers of natural science.

Advanced Topics In Theoretical Chemical Physics

Author : Jean Maruani
ISBN : 140201564X
Genre : Science
File Size : 38. 41 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
ISBN : 9781118855287
Genre : Mathematics
File Size : 66. 76 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.

Mathematische Grundlagen Der Quantenmechanik

Author : John von Neumann
ISBN : 9783642614095
Genre : Mathematics
File Size : 33. 39 MB
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Aus dem Geleitwort von R. Haag: "Es bleibt die Faszination eines großen Wurfs und großen Ideenreichtums."

Non Hermitian Optics

Author : Absar Ulhassan
ISBN : OCLC:1055658965
Genre :
File Size : 75. 17 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.

Grundkurs Theoretische Physik 6

Author : Wolfgang Nolting
ISBN : 9783642253935
Genre : Science
File Size : 27. 46 MB
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Der Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.

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