non hermitian quantum mechanics

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Non Hermitian Quantum Mechanics

Author : Nimrod Moiseyev
ISBN : 9781139496995
Genre : Science
File Size : 39. 91 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 : 71. 45 MB
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Non Hermitian Hamiltonians In Quantum Physics

Author : Fabio Bagarello
ISBN : 9783319313566
Genre : Science
File Size : 20. 24 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.

Quantum Mechanics For Non Hermitian Hamiltonians With Pt Symmetries

Author : Gustavo D. Duarte
ISBN : OCLC:993601159
Genre : Hamiltonian graph theory
File Size : 61. 22 MB
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Fundamental World Of Quantum Chemistry

Author : Per-Olov Löwdin
ISBN : 1402012918
Genre : Science
File Size : 45. 63 MB
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Advanced Topics In Theoretical Chemical Physics

Author : Jean Maruani
ISBN : 140201564X
Genre : Science
File Size : 84. 13 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 : 50. 14 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.

Quantum Dynamics For Classical Systems

Author : Fabio Bagarello
ISBN : 9781118400609
Genre : Science
File Size : 43. 2 MB
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Introduces number operators with a focus on the relationship between quantum mechanics and social science Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools—the number operator in particular—can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results. The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include: Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models Illustrations of the use of creation and annihilation operators for classical problems Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.

Spectra And Pseudospectra

Author : Lloyd Nicholas Trefethen
ISBN : 0691119465
Genre : Mathematics
File Size : 86. 18 MB
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Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.

Journal Of The Physical Society Of Japan

Author :
ISBN : CHI:77366946
Genre : Physics
File Size : 50. 67 MB
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