Angular Momentum Theory for Diatomic Molecules

Angular Momentum Theory for Diatomic Molecules

Author: Brain Judd

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 251

ISBN-13: 0323159052

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Angular Momentum Theory for Diatomic Molecules focuses on the application of angular momentum theory in describing the complex dynamical processes in molecules. The manuscript first offers information on tensor algebra and rotation group. Discussions focus on commutation relations, spherical and double tensors, rotations, coupling, reduced matrix elements, quaternions, combination theorem for Gegenbauer polynomials, and combination theorems for spherical harmonics. The book then takes a look at R(4) in physical systems and hydrogen molecular ion, including rigid rotator, reversed angular momentum, reduced matrix elements, spheroidal coordinates, and hydrogen atom in spheroidal coordinates. The publication examines expansions and free diatomic molecules. Topics include angular momentum, molecular frame, primitive energy spectrum, rotating oscillator and hydrogen atom, expressions for electric potentials, delta functions, and Neumann expansion. The manuscript also considers external fields and perturbations. The text is a dependable reference for readers interested in the application of angular momentum theory in identifying the dynamical processes going on in molecules.


Book Synopsis Angular Momentum Theory for Diatomic Molecules by : Brain Judd

Download or read book Angular Momentum Theory for Diatomic Molecules written by Brain Judd and published by Elsevier. This book was released on 2012-12-02 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Angular Momentum Theory for Diatomic Molecules focuses on the application of angular momentum theory in describing the complex dynamical processes in molecules. The manuscript first offers information on tensor algebra and rotation group. Discussions focus on commutation relations, spherical and double tensors, rotations, coupling, reduced matrix elements, quaternions, combination theorem for Gegenbauer polynomials, and combination theorems for spherical harmonics. The book then takes a look at R(4) in physical systems and hydrogen molecular ion, including rigid rotator, reversed angular momentum, reduced matrix elements, spheroidal coordinates, and hydrogen atom in spheroidal coordinates. The publication examines expansions and free diatomic molecules. Topics include angular momentum, molecular frame, primitive energy spectrum, rotating oscillator and hydrogen atom, expressions for electric potentials, delta functions, and Neumann expansion. The manuscript also considers external fields and perturbations. The text is a dependable reference for readers interested in the application of angular momentum theory in identifying the dynamical processes going on in molecules.

ANGULAR MOMENTUM THEORY FOR DIATOMIC MOLECULES.

ANGULAR MOMENTUM THEORY FOR DIATOMIC MOLECULES.

Author: BR. JUDD

Publisher:

Published: 1975

Total Pages:

ISBN-13:

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Book Synopsis ANGULAR MOMENTUM THEORY FOR DIATOMIC MOLECULES. by : BR. JUDD

Download or read book ANGULAR MOMENTUM THEORY FOR DIATOMIC MOLECULES. written by BR. JUDD and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Rotating Diatomic Molecules

The Theory of Rotating Diatomic Molecules

Author: Masataka Mizushima

Publisher: Wiley-Interscience

Published: 1975

Total Pages: 568

ISBN-13:

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Book Synopsis The Theory of Rotating Diatomic Molecules by : Masataka Mizushima

Download or read book The Theory of Rotating Diatomic Molecules written by Masataka Mizushima and published by Wiley-Interscience. This book was released on 1975 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rotational Spectroscopy of Diatomic Molecules

Rotational Spectroscopy of Diatomic Molecules

Author: John M. Brown

Publisher: Cambridge University Press

Published: 2003-04-10

Total Pages: 1074

ISBN-13: 9780521530781

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The definitive text on the rotational spectroscopy of diatomic molecules.


Book Synopsis Rotational Spectroscopy of Diatomic Molecules by : John M. Brown

Download or read book Rotational Spectroscopy of Diatomic Molecules written by John M. Brown and published by Cambridge University Press. This book was released on 2003-04-10 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive text on the rotational spectroscopy of diatomic molecules.

The Spectra and Dynamics of Diatomic Molecules

The Spectra and Dynamics of Diatomic Molecules

Author: Helene Lefebvre-Brion

Publisher: Elsevier

Published: 2004-04-28

Total Pages: 797

ISBN-13: 0080517501

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This book is written for graduate students just beginning research, for theorists curious about what experimentalists actually can and do measure, and for experimentalists bewildered by theory. It is a guide for potential users of spectroscopic data, and uses language and concepts that bridge the frequency-and time-domain spectroscopic communities. Key topics, concepts, and techniques include: the assignment of simple spectra, basic experimental techniques, definition of Born-Oppenheimer and angular momentum basis sets and the associated spectroscopic energy level patterns (Hund's cases), construction of effective Hamiltonian matrices to represent both spectra and dynamics, terms neglected in the Born-Oppenheimer approximation (situations intermediate between Hund's cases, spectroscopic perturbations), nonlinear least squares fitting, calculation and interpretation of coupling terms, semi-classical (WKB) approximation, transition intensities and interference effects, direct photofragmentation (dissociation and ionization) and indirect photofragmentation (predissociation and autoionization) processes, visualization of intramolecular dynamics, quantum beats and wavepackets, treatment of decaying quasi-eigenstates using a complex Heff model, and concluding with some examples of polyatomic molecule dynamics. Students will discover that there is a fascinating world of cause-and-effect localized dynamics concealed beyond the reduction of spectra to archival molecular constants and the exact ab initio computation of molecular properties. Professional spectroscopists, kinetics, ab initio theorists will appreciate the practical, simplified-model, and rigorous theoretical approaches discussed in this book. A fundamental reference for all spectra of small, gas-phase molecules It is the most up-to-date and comprehensive book on the electronic spectroscopy and dynamics of diatomic molecules The authors pioneered the development of many of the experimental methods, concepts, models, and computational schemes described in this book


Book Synopsis The Spectra and Dynamics of Diatomic Molecules by : Helene Lefebvre-Brion

Download or read book The Spectra and Dynamics of Diatomic Molecules written by Helene Lefebvre-Brion and published by Elsevier. This book was released on 2004-04-28 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for graduate students just beginning research, for theorists curious about what experimentalists actually can and do measure, and for experimentalists bewildered by theory. It is a guide for potential users of spectroscopic data, and uses language and concepts that bridge the frequency-and time-domain spectroscopic communities. Key topics, concepts, and techniques include: the assignment of simple spectra, basic experimental techniques, definition of Born-Oppenheimer and angular momentum basis sets and the associated spectroscopic energy level patterns (Hund's cases), construction of effective Hamiltonian matrices to represent both spectra and dynamics, terms neglected in the Born-Oppenheimer approximation (situations intermediate between Hund's cases, spectroscopic perturbations), nonlinear least squares fitting, calculation and interpretation of coupling terms, semi-classical (WKB) approximation, transition intensities and interference effects, direct photofragmentation (dissociation and ionization) and indirect photofragmentation (predissociation and autoionization) processes, visualization of intramolecular dynamics, quantum beats and wavepackets, treatment of decaying quasi-eigenstates using a complex Heff model, and concluding with some examples of polyatomic molecule dynamics. Students will discover that there is a fascinating world of cause-and-effect localized dynamics concealed beyond the reduction of spectra to archival molecular constants and the exact ab initio computation of molecular properties. Professional spectroscopists, kinetics, ab initio theorists will appreciate the practical, simplified-model, and rigorous theoretical approaches discussed in this book. A fundamental reference for all spectra of small, gas-phase molecules It is the most up-to-date and comprehensive book on the electronic spectroscopy and dynamics of diatomic molecules The authors pioneered the development of many of the experimental methods, concepts, models, and computational schemes described in this book

Quantum Physics

Quantum Physics

Author: Arno Bohm

Publisher: Springer Nature

Published: 2019-11-06

Total Pages: 353

ISBN-13: 9402417605

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This is an introductory graduate course on quantum mechanics, which is presented in its general form by stressing the operator approach. Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules. The combination of quantum physical systems using direct-product spaces is discussed in chapter 3. The theory is used to describe a vibrating rotator, and the theoretical predictions are then compared with data for a vibrating and rotating diatomic molecule. The formalism of first- and second-order non-degenerate perturbation theory and first-order degenerate perturbation theory are derived in chapter 4. Time development is described in chapter 5 using either the Schroedinger equation of motion or the Heisenberg’s one. An elementary mathematical tutorial forms a useful appendix for the readers who don’t have prior knowledge of the general mathematical structure of quantum mechanics.


Book Synopsis Quantum Physics by : Arno Bohm

Download or read book Quantum Physics written by Arno Bohm and published by Springer Nature. This book was released on 2019-11-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory graduate course on quantum mechanics, which is presented in its general form by stressing the operator approach. Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules. The combination of quantum physical systems using direct-product spaces is discussed in chapter 3. The theory is used to describe a vibrating rotator, and the theoretical predictions are then compared with data for a vibrating and rotating diatomic molecule. The formalism of first- and second-order non-degenerate perturbation theory and first-order degenerate perturbation theory are derived in chapter 4. Time development is described in chapter 5 using either the Schroedinger equation of motion or the Heisenberg’s one. An elementary mathematical tutorial forms a useful appendix for the readers who don’t have prior knowledge of the general mathematical structure of quantum mechanics.

Angular Momentum Theory Applied to Interactions in Solids

Angular Momentum Theory Applied to Interactions in Solids

Author: Clyde A. Morrison

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 161

ISBN-13: 3642933769

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From December 1985 through March 1986 the text of this book formed the basis of an in-hours course taught by the author at Harry Diamond Laborato ries. Considerable assistance in revising and organizing the first draft was given by John Bruno. The original draft of these notes was based on a collection of lectures delivered at the Universidade Federal de Pernambuco, Recife, Brazil, between 2 November 1981 and 2 December 1981. The visit to Recife was a response to an invi tation of Professor Gilberto F. de Sa of the Physics Department. In the preparation of these notes I made many requests of my coworkers for earlier resul ts and recollections of our early work. Among those consul ted were Donald Wortman, Nick Karayianis, and Richard Leavitt. Further, a number of .suggestions from my Brazilian colleagues helped make the lectures more clear. Particular among these were Professor Oscar Malta and Professor Alfredo A. da Gama both of whom I wish to thank for their help. Encouragement and assistance with funding for much of this work came from Leon Esterowitz of the Naval Research Laboratory and Rudolph Buser and Albert Pinto of the center for Night Vision and Electro-Optics.


Book Synopsis Angular Momentum Theory Applied to Interactions in Solids by : Clyde A. Morrison

Download or read book Angular Momentum Theory Applied to Interactions in Solids written by Clyde A. Morrison and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: From December 1985 through March 1986 the text of this book formed the basis of an in-hours course taught by the author at Harry Diamond Laborato ries. Considerable assistance in revising and organizing the first draft was given by John Bruno. The original draft of these notes was based on a collection of lectures delivered at the Universidade Federal de Pernambuco, Recife, Brazil, between 2 November 1981 and 2 December 1981. The visit to Recife was a response to an invi tation of Professor Gilberto F. de Sa of the Physics Department. In the preparation of these notes I made many requests of my coworkers for earlier resul ts and recollections of our early work. Among those consul ted were Donald Wortman, Nick Karayianis, and Richard Leavitt. Further, a number of .suggestions from my Brazilian colleagues helped make the lectures more clear. Particular among these were Professor Oscar Malta and Professor Alfredo A. da Gama both of whom I wish to thank for their help. Encouragement and assistance with funding for much of this work came from Leon Esterowitz of the Naval Research Laboratory and Rudolph Buser and Albert Pinto of the center for Night Vision and Electro-Optics.

Principles of Quantum Chemistry

Principles of Quantum Chemistry

Author: David V. George

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 284

ISBN-13: 1483278557

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Principles of Quantum Chemistry focuses on the application of quantum mechanics in physical models and experiments of chemical systems. This book describes chemical bonding and its two specific problems — bonding in complexes and in conjugated organic molecules. The very basic theory of spectroscopy is also considered. Other topics include the early development of quantum theory; particle-in-a-box; general formulation of the theory of quantum mechanics; and treatment of angular momentum in quantum mechanics. The examples of solutions of Schroedinger equations; approximation methods in quantum chemistry; symmetry in chemistry; and molecular-orbital theory are also covered. This publication is recommended for students taking undergraduate and graduate courses in quantum chemistry.


Book Synopsis Principles of Quantum Chemistry by : David V. George

Download or read book Principles of Quantum Chemistry written by David V. George and published by Elsevier. This book was released on 2013-10-22 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Quantum Chemistry focuses on the application of quantum mechanics in physical models and experiments of chemical systems. This book describes chemical bonding and its two specific problems — bonding in complexes and in conjugated organic molecules. The very basic theory of spectroscopy is also considered. Other topics include the early development of quantum theory; particle-in-a-box; general formulation of the theory of quantum mechanics; and treatment of angular momentum in quantum mechanics. The examples of solutions of Schroedinger equations; approximation methods in quantum chemistry; symmetry in chemistry; and molecular-orbital theory are also covered. This publication is recommended for students taking undergraduate and graduate courses in quantum chemistry.

Perturbations in the Spectra of Diatomic molecules

Perturbations in the Spectra of Diatomic molecules

Author: Helene Lefebvre-Brion

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 429

ISBN-13: 0323150764

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Perturbations in the Spectra of Diatomic Molecules examines in sufficient detail the spectrum of every diatomic molecule. This book is divided into seven chapters. Chapter 1 describes the perturbations and simple procedures for evaluating matrix elements of angular momentum. The terms in the molecular Hamiltonian that are responsible for perturbations are elaborated in Chapter 2, while the process of reducing spectra to molecular constants and the difficulty of relating empirical parameters to terms in the exact molecular Hamiltonian are described in Chapter 3. Chapter 4 discusses the magnitudes and physical interpretations of matrix elements. The transition intensities, especially quantum mechanical interference effects, are reviewed in Chapter 5. The last two chapters are devoted to the two forms of perturbation—predissociation and autoionization. This publication is a good source for graduate students, theorists, experimentalists, and potential users of spectroscopic data.


Book Synopsis Perturbations in the Spectra of Diatomic molecules by : Helene Lefebvre-Brion

Download or read book Perturbations in the Spectra of Diatomic molecules written by Helene Lefebvre-Brion and published by Elsevier. This book was released on 2012-12-02 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbations in the Spectra of Diatomic Molecules examines in sufficient detail the spectrum of every diatomic molecule. This book is divided into seven chapters. Chapter 1 describes the perturbations and simple procedures for evaluating matrix elements of angular momentum. The terms in the molecular Hamiltonian that are responsible for perturbations are elaborated in Chapter 2, while the process of reducing spectra to molecular constants and the difficulty of relating empirical parameters to terms in the exact molecular Hamiltonian are described in Chapter 3. Chapter 4 discusses the magnitudes and physical interpretations of matrix elements. The transition intensities, especially quantum mechanical interference effects, are reviewed in Chapter 5. The last two chapters are devoted to the two forms of perturbation—predissociation and autoionization. This publication is a good source for graduate students, theorists, experimentalists, and potential users of spectroscopic data.

Introduction to the Quantum World of Atoms and Molecules

Introduction to the Quantum World of Atoms and Molecules

Author: Jens Peder Dahl

Publisher: World Scientific

Published: 2001

Total Pages: 480

ISBN-13: 9789810245658

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This invaluable book provides a balanced and integrated introduction to the quantum world of atoms and molecules. The underlying basis of quantum mechanics is carefully developed, with respect for the historical tradition and from a molecular angle. The fundamental concepts in the theory of atomic and molecular structure are thoroughly discussed, as are the central techniques needed in quantum-chemical applications. Special attention is paid to exposing and clarifying the common ground of Hartree?Fock theory and density-functional theory. Throughout the text, the discussion is pedagogically obliging and aims at simplicity and mathematical clarity, while avoiding the use of advanced mathematics. End-of-chapter problems supplement the main text.


Book Synopsis Introduction to the Quantum World of Atoms and Molecules by : Jens Peder Dahl

Download or read book Introduction to the Quantum World of Atoms and Molecules written by Jens Peder Dahl and published by World Scientific. This book was released on 2001 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book provides a balanced and integrated introduction to the quantum world of atoms and molecules. The underlying basis of quantum mechanics is carefully developed, with respect for the historical tradition and from a molecular angle. The fundamental concepts in the theory of atomic and molecular structure are thoroughly discussed, as are the central techniques needed in quantum-chemical applications. Special attention is paid to exposing and clarifying the common ground of Hartree?Fock theory and density-functional theory. Throughout the text, the discussion is pedagogically obliging and aims at simplicity and mathematical clarity, while avoiding the use of advanced mathematics. End-of-chapter problems supplement the main text.