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Determining Spectra In Quantum Theory
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Book Synopsis Determining Spectra in Quantum Theory by : Michael Demuth
Download or read book Determining Spectra in Quantum Theory written by Michael Demuth and published by Springer Science & Business Media. This book was released on 2006-09-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work focuses on various known criteria in the spectral theory of selfadjoint operators. The concise, unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials. But given the large gap this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory.
Book Synopsis Determining Spectra in Quantum Theory by : M. Demutyh
Download or read book Determining Spectra in Quantum Theory written by M. Demutyh and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Determining Spectra in Quantum Theory. Progress in Mathematical Physics by : Maddaly Krishna
Download or read book Determining Spectra in Quantum Theory. Progress in Mathematical Physics written by Maddaly Krishna and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The spectral theory of Schrodinger operators, in particular those with random potentials, continues to be a very active field of research. This work focuses on various known criteria in the spectral theory of self adjoint operators in order to identify the spectrum and its components a la Lebesgue decomposition.
Book Synopsis A Guide to Spectral Theory by : Christophe Cheverry
Download or read book A Guide to Spectral Theory written by Christophe Cheverry and published by Springer Nature. This book was released on 2021-05-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students alike will also appreciate the exploration of more advanced applications and research perspectives presented near the end of the book. Beginning with a brief introduction to the relationship between spectral theory and quantum physics, the authors go on to explore unbounded operators, analyzing closed, adjoint, and self-adjoint operators. Next, the spectrum of a closed operator is defined and the fundamental properties of Fredholm operators are introduced. The authors then develop the Grushin method to execute the spectral analysis of compact operators. The chapters that follow are devoted to examining Hille-Yoshida and Stone theorems, the spectral analysis of self-adjoint operators, and trace-class and Hilbert-Schmidt operators. The final chapter opens the discussion to several selected applications. Throughout this textbook, detailed proofs are given, and the statements are illustrated by a number of well-chosen examples. At the end, an appendix about foundational functional analysis theorems is provided to help the uninitiated reader. A Guide to Spectral Theory: Applications and Exercises is intended for graduate students taking an introductory course in spectral theory or operator theory. A background in linear functional analysis and partial differential equations is assumed; basic knowledge of bounded linear operators is useful but not required. PhD students and researchers will also find this volume to be of interest, particularly the research directions provided in later chapters.
Book Synopsis A Short Course on Spectral Theory by : William Arveson
Download or read book A Short Course on Spectral Theory written by William Arveson and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
Book Synopsis Introduction to the Theory of Atomic Spectra by : I. I. Sobel'Man
Download or read book Introduction to the Theory of Atomic Spectra written by I. I. Sobel'Man and published by Elsevier. This book was released on 2016-04-20 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Theory of Atomic Spectra is a systematic presentation of the theory of atomic spectra based on the modern system of the theory of angular momentum. Many questions which are of interest from the point of view of using spectroscopic methods for investigating various physical phenomena, including continuous spectrum radiation, excitation of atoms, and spectral line broadening, are discussed. This volume consists of 11 chapters organized into three sections. After a summary of elementary information on atomic spectra, including the hydrogen spectrum and the spectra of multi-electron atoms, the reader is methodically introduced to angular momentum, systematics of the levels of multi-electron atoms, and hyperfine structure of spectral lines. Relativistic corrections are also given consideration, with particular reference to the use of the Dirac equation to determine the stationary states of an electron in an arbitrary electromagnetic field. In addition, the book explores the Stark effect and the Zeeman effect, the interaction between atoms and an electromagnetic field, and broadening of spectral lines. The final chapter is devoted to the problem of atomic excitation by collisions. This book is intended for advanced-course university students, postgraduate students and scientists working on spectroscopy and spectral analysis, and also in the field of theoretical physics.
Book Synopsis Report on the Quantum Theory of Spectra by : Ludwik Silberstein
Download or read book Report on the Quantum Theory of Spectra written by Ludwik Silberstein and published by . This book was released on 1920 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods in Quantum Mechanics by : Gerald Teschl
Download or read book Mathematical Methods in Quantum Mechanics written by Gerald Teschl and published by American Mathematical Soc.. This book was released on 2009 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).
Book Synopsis Quantum Mechanics of the Rotational Distortion of Spin Multiplets in Molecular Spectra by : Edward Lee Hill
Download or read book Quantum Mechanics of the Rotational Distortion of Spin Multiplets in Molecular Spectra written by Edward Lee Hill and published by . This book was released on 1928 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods in Quantum Mechanics by : Gerald Teschl
Download or read book Mathematical Methods in Quantum Mechanics written by Gerald Teschl and published by American Mathematical Soc.. This book was released on 2014-11-05 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrödinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrödinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. This new edition has additions and improvements throughout the book to make the presentation more student friendly.
Book Synopsis Hilbert Space Methods in Quantum Mechanics by : Werner O. Amrein
Download or read book Hilbert Space Methods in Quantum Mechanics written by Werner O. Amrein and published by EPFL Press. This book was released on 2009-01-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The necessary foundation in quantum mechanics is covered in this book. Topics include basic properties of Hibert spaces, scattering theory, and a number of applications such as the S-matrix, time delay, and the Flux-Across-Surfaces Theorem.
Book Synopsis Asymptotic Time Decay In Quantum Physics by : Domingos H U Marchetti
Download or read book Asymptotic Time Decay In Quantum Physics written by Domingos H U Marchetti and published by World Scientific. This book was released on 2012-11-16 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability properties and irreversibility and the “arrow of time”.This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods./a
Book Synopsis Unstable states in the continuous spectra by :
Download or read book Unstable states in the continuous spectra written by and published by Academic Press. This book was released on 2012 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. This series provides a one-stop resource for following progress in this interdisciplinary area. Publishes articles, invited reviews and proceedings of major international conferences and workshops Written by leading international researchers in quantum and theoretical chemistry Highlights important interdisciplinary developments.
Book Synopsis Quantitative Spectroscopy: Theory and Practice by : Brian C. Smith
Download or read book Quantitative Spectroscopy: Theory and Practice written by Brian C. Smith and published by Elsevier. This book was released on 2003-01-17 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The determination of the concentrations of molecules in samples has long been an important application of spectroscopy. In the last 20 years advances in algorithms, computers, instruments, and software have led to a growing interest in this field. These developments mean samples and analytes that were once considered intractable are increasingly yielding usable calibrations. The purpose of this book is to give readers, without an advanced math background, a thorough grounding in the theory and practice of modern quantitative spectroscopic analysis. The author has placed great emphasis on providing the reader with everything they need to know to obtain a fundamental understanding of quantitative spectroscopy. · Relevant theory is explained in an easy to understand, conversational style. · Actual spectroscopic data and calibrations are used throughout the book to show how real world calibrations are achieved. · The complexities of Factor Analysis (PCR/PLS) algorithms are explained in pictures and words, making them understandable for all. · Written from a spectroscopic rather than a mathematical point of view. · Relevant theory is interspersed with practical discussions in order to make difficult concepts easier to comprehend · It is a comprehensive introduction for novices, and an excellent reference for experts. · Topics on spectroscopy are included to emphasize its importance in quantitative spectroscopy
Book Synopsis ATOMIC AND MOLECULAR SPECTRA (QUANTUM MECHANICS) by : DR. TAYAL MITHUN
Download or read book ATOMIC AND MOLECULAR SPECTRA (QUANTUM MECHANICS) written by DR. TAYAL MITHUN and published by Ram Prasad Publications(R.P.H.). This book was released on with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: No.-I Matter Waves : Inadequacies of classical mechanics, Photoelectric phenomenon, Compton effect, wave particle duality, de-Broglie matter waves and their experimental verification, Heisenberg’s uncertainty principle, Complementary principle, Principle of superposition, Motion of wave packets. No.-II Schrodinger Equation and its Applications : Schrodinger wave equation, Interpretation of wave function, Expectation values of dynamical variables, Ehrenfest theorem, Orthonormal properties of wave functions, One dimensional motion in step potential, Rectangular barrier, Square well potential, Particle in a box, normalization, Simple Harmonic Oscillator. No.-III Atomic Spectra : Spectra of hydrogen, deuteron and alkali atoms, spectral terms, doublet fine structure, screening constants for alkali spectra for s, p, d, and f states, selection rules. Singlet and triplet fine structure in alkaline earth spectra, L-S and J-J couplings. Weak spectra: continuous X-ray spectrum and its dependence on voltage, Duane and Haunt’s law. Characteristics X-rays, Moseley’s law, doublet structure and screening parameters in X-ray spectra, X-ray absorption spectra. No.-IV Molecular Spectra : Discrete set of electronic energies of molecules, quantisation of vibrational and rotational energies, determination of internuclear distance, pure rotation and rotation- vibration spectra, Dissociation limit for the ground and other electronic states, transition rules for pure vibration and electronic vibration spectra.
Book Synopsis The Basics of Spectroscopy by : David Warren Ball
Download or read book The Basics of Spectroscopy written by David Warren Ball and published by SPIE Press. This book was released on 2001 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectroscopy--the study of matter using electromagnetic radiation--and its applications as a scientific tool are the focus of this tutorial. Topics covered include the interaction of light with matter, spectrometer fundamentals, quantum mechanics, selection rules, and experimental factors.
Book Synopsis Introduction to Quantum Physics by : Simone Malacrida
Download or read book Introduction to Quantum Physics written by Simone Malacrida and published by BookRix. This book was released on 2023-04-19 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following basic physics topics are presented in this book: crisis of classical physics quantum mechanics and wave mechanics solid state physics and semiconductor physics quantum field theory quantum electrodynamics and open questions
