Angular Momentum Calculus In Quantum Physics

Author : Michael Danos,Vincent Gillet
Publisher : World Scientific
Page : 178 pages
File Size : 41,7 Mb
Release : 1990
Category : Science
ISBN : 9810204124

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Angular Momentum Calculus in Quantum Physics by Michael Danos,Vincent Gillet Pdf

This book is concerned with the practical aspects of solving angular momentum problems. The novel but fully tested-out method (the Invariant Graph Method) allows one to write down from a single graph the complete final result of the problem. The drawing of the graph involves very few simple, essentially self-evident rules. Still it is a powerful tool to easily solve the most involved physical problems.The method is introduced step-by-step in a sequence of examples, beginning with the simplest matrix elements, and ending with the most general case of a reaction including angular distributions and correlations. The many-body and particle anti-particle systems are fully developed. All aspects: wave functions, vectors, operators, Fock space state vectors and operators, etc., are treated on the same footing. All concepts of angular momentum theory acquire a transparent meaning. Hence the book is valuable not only as a handbook in problem solving, but extremely so as an adjunct in any course on advanced qunatum physics, atomic, molecular, nuclear and particle physics.

Author : N.B. Singh
Publisher : N.B. Singh
Page : 226 pages
File Size : 40,5 Mb
Release : 2024-06-12
Category : Science
ISBN : 8210379456XXX

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Essential Quantum Calculus by N.B. Singh Pdf

"Essential Quantum Calculus" is a concise and accessible guide that demystifies quantum calculus, offering readers a fundamental understanding of its principles. This book provides a clear introduction to the mathematical concepts essential for grasping quantum mechanics, making it an indispensable resource for students and enthusiasts seeking a solid foundation in the intricate world of quantum physics

Author : M Danos,V Gillet
Publisher : World Scientific
Page : 176 pages
File Size : 42,6 Mb
Release : 1990-09-28
Category : Science
ISBN : 9789814506595

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Angular Momentum Calculus in Quantum Physics by M Danos,V Gillet Pdf

This book is concerned with the practical aspects of solving angular momentum problems. The novel but fully tested-out method (the Invariant Graph Method) allows one to write down from a single graph the complete final result of the problem. The drawing of the graph involves very few simple, essentially self-evident rules. Still it is a powerful tool to easily solve the most involved physical problems. The method is introduced step-by-step in a sequence of examples, beginning with the simplest matrix elements, and ending with the most general case of a reaction including angular distributions and correlations. The many-body and particle anti-particle systems are fully developed. All aspects: wave functions, vectors, operators, Fock space state vectors and operators, etc., are treated on the same footing. All concepts of angular momentum theory acquire a transparent meaning. Hence the book is valuable not only as a handbook in problem solving, but extremely so as an adjunct in any course on advanced qunatum physics, atomic, molecular, nuclear and particle physics. Contents:The Graphical Method:Recoupling GraphsInvariantsPhases, Wave Functions and OperatorsMatrix ElementsApplications:Vector CalculusMany-Body ProblemFock SpaceParticle-Hole RepresentationTransition Probabilities and Angular DistributionsSummary and Formulary Readership: Atomic, molecular, nuclear particle and mathematical physicists. keywords:Angular;Momentum;Quantum;Physics;Nuclear;Atomic;Elementary Particle;High Energy;Angular Distribution;Multiple Angular Correlation;Angular Momentum;Polarization;Cross-Section;Density Matrix;Many Body;Photon;Gamma;Electron;Nucleon;Meson Fock;Space;Creation;Annihilation;Operator;Particle;Hole Calculation;Computation;Graphic;Graphical;Method

Author : N.B. Singh
Publisher : N.B. Singh
Page : 283 pages
File Size : 45,6 Mb
Release : 2024-06-12
Category : Computers
ISBN : 8210379456XXX

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A Handbook of Calculus in Quantum Mechanics by N.B. Singh Pdf

"A Handbook of Calculus in Quantum Mechanics" is a comprehensive introductory guide designed specifically for absolute beginners with little to no mathematical background in quantum mechanics. This concise yet thorough handbook navigates readers through the fundamental concepts of calculus within the context of quantum mechanics, offering clear explanations and practical examples to facilitate understanding. From essential differential and integral calculus formulas to their application in solving problems in quantum mechanics, this book provides a solid foundation for readers to grasp the mathematical tools essential for exploring the intriguing world of quantum phenomena. Whether you're a student, researcher, or enthusiast, this accessible handbook equips you with the necessary knowledge to embark on your quantum journey with confidence and clarity.

Author : Floyd Williams
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200093

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Topics in Quantum Mechanics by Floyd Williams Pdf

This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov-- Uvarov theory of generalized hypergeometric differential equations to solve the Schr"dinger equation and to obtain the quantization of energies from a single unified point of view.

Author : L. C. Biedenharn,James D. Louck
Publisher : Westview Press
Page : 756 pages
File Size : 48,7 Mb
Release : 1981
Category : Science
ISBN : MINN:319510004835498

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Angular Momentum in Quantum Physics by L. C. Biedenharn,James D. Louck Pdf

Author : Richard Herrmann
Publisher : World Scientific
Page : 500 pages
File Size : 49,7 Mb
Release : 2014-01-03
Category : Science
ISBN : 9789814551090

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Fractional Calculus by Richard Herrmann Pdf

The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area. The contents are devoted to the application of fractional calculus to physical problems. The fractional concept is applied to subjects in classical mechanics, group theory, quantum mechanics, nuclear physics, hadron spectroscopy and quantum field theory and it will surprise the reader with new intriguing insights. This new, extended edition now also covers additional chapters about image processing, folded potentials in cluster physics, infrared spectroscopy and local aspects of fractional calculus. A new feature is exercises with elaborated solutions, which significantly supports a deeper understanding of general aspects of the theory. As a result, this book should also be useful as a supporting medium for teachers and courses devoted to this subject. Contents:IntroductionFunctionsThe Fractional DerivativeFriction ForcesFractional CalculusThe Fractional Harmonic OscillatorWave Equations and ParityNonlocality and Memory EffectsFractional Calculus in Multidimensional Space — 2D-Image ProcessingFractional Calculus in Multidimensional Space — 3D-Folded Potentials in Cluster PhysicsQuantum MechanicsThe Fractional Schrödinger Equation with the Infinite Well Potential — Numerical Results using the Riesz DerivativeUniqueness of a Fractional Derivative — the Riesz and Regularized Liouville Derivative as ExamplesFractional Spin — A Property of Particles Described with the Fractional Schrödinger EquationFactorizationSymmetriesThe Fractional Symmetric Rigid Rotorq-Deformed Lie Algebras and Fractional CalculusInfrared Spectroscopy of Diatomic Molecules Fractional Spectroscopy of HadronsMagic Numbers in Atomic NucleiMagic Numbers in Metal ClustersFractors — Fractional Tensor CalculusFractional FieldsGauge Invariance in Fractional Field TheoriesOn the Origin of SpaceOutlook Readership: Students and researchers in physics. Keywords:Mathematical Physics;Fractional Calculus;Long-Memory Kernels;Non-Local Field Theories;Fractional Quantum MechanicsKey Features:This was the first book on the market covering the full area of a physical application of fractional calculusThe book provides a skillful insight into a vividly growing research area and guides the reader from his first steps on an introductory level up to the current state of the art of a physical interpretation and application in different fieldsThis book enables the reader to participate and contribute to the development of this exciting research area by applying these methods in his own research area tooReviews:Reviews of the First Edition: “Fractional Calculus is an affordable and valuable introduction to the field that will appeal to physicists interested in scientific what-ifs.” Physics Today “… the first three chapters actually appear very helpful at the graduate level. Each chapter has a careful precis at the start. There a many analyses illustrating outcomes of fractional analyses… If this [fractional calculus] is the field of your research then this book is essential with numerous references… ” Contemporary Physics “The book has the property that derived results are directly compared with experimental findings. As a consequence, the reader is guided and encouraged to apply the fractional calculus approach in her/his research area. The reviewer strongly recommends this book for beginners as well as specialists in the fields of physics, mathematics and complex adaptive systems.” Zentralblatt MATH “A very welcome new feature in the second edition is the inclusion of exercises at the end of every chapter, with detailed solutions in the back of the book. This book is specifically aimed at physicists, although many of my colleagues outside physics have also found it useful. This is particularly true of graduate students and beginning researchers, or those new to the subject of fractional calculus.” Mark Meerschaert Dept of Statistics and Probability, Michigan State University

Author : M Chaichian,R Hagedorn
Publisher : CRC Press
Page : 320 pages
File Size : 49,5 Mb
Release : 2023-07-21
Category : Science
ISBN : 9781000944167

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Symmetries in Quantum Mechanics by M Chaichian,R Hagedorn Pdf

Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.

Author : A. R. Edmonds
Publisher : Princeton University Press
Page : 160 pages
File Size : 55,6 Mb
Release : 2016-08-10
Category : Science
ISBN : 9781400884186

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Angular Momentum in Quantum Mechanics by A. R. Edmonds Pdf

This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.

Author : Paul Busch,Marian Grabowski,Pekka J. Lahti
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 43,5 Mb
Release : 2009-01-29
Category : Science
ISBN : 9783540492399

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Operational Quantum Physics by Paul Busch,Marian Grabowski,Pekka J. Lahti Pdf

Operational Quantum Physics offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory. Accordingly the notion of an observable as a positive operator valued (POV) measure is explained in great detail, and the ensuing quantum measurement theory is developed and applied both to a resolution of long-standing conceptual and interpretational puzzles in the foundations of quantum mechanics, and to an analysis of various recent fundamental experiments. The book, or different parts of it, may be of interest to advanced students or researchers in quantum physics, to philosophers of physics, and to mathematicians working in operator valued measures.

Author : Eugene Feenberg,George Edward Pake
Publisher : Courier Corporation
Page : 68 pages
File Size : 47,7 Mb
Release : 1999-01-01
Category : Science
ISBN : 0486409236

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Notes on the Quantum Theory of Angular Momentum by Eugene Feenberg,George Edward Pake Pdf

Informative review considers the development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include the computation and application of matrix elements of scalar, vector, and tensor operators for deriving useful relations in the theory of magnetic moments, electric quadruple moments, and dipole transition probabilities.

Author : Alexander Komech
Publisher : World Scientific
Page : 272 pages
File Size : 48,6 Mb
Release : 2022-02-18
Category : Science
ISBN : 9789811248917

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Lectures On Quantum Mechanics And Attractors by Alexander Komech Pdf

This book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations.The book is aimed at graduate and advanced undergraduate students in mathematics, physics, and chemistry, as well as at the readers specializing in quantum mechanics, theoretical physics and quantum chemistry, and applications to solid state physics, optics, superconductivity, and quantum and high-frequency electronic devices.The book utilizes elementary mathematical derivations. The presentation assumes only basic knowledge of the origin of Hamiltonian mechanics, Maxwell equations, calculus, Ordinary Differential Equations and basic PDEs. Key topics include the Schrödinger, Pauli, and Dirac equations, the corresponding conservation laws, spin, the hydrogen spectrum, and the Zeeman effect, scattering of light and particles, photoelectric effect, electron diffraction, and relations of quantum postulates with attractors of nonlinear Hamiltonian PDEs. Featuring problem sets and accompanied by extensive contemporary and historical references, this book could be used for the course on Quantum Mechanics and is also suitable for individual study.

Author : Eugene Hecht
Publisher : Cengage Learning
Page : 1336 pages
File Size : 42,6 Mb
Release : 2000
Category : Calculus
ISBN : UCSD:31822032621831

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Physics by Eugene Hecht Pdf

Steeped in 20th-century perspective and committed to providing a conceptual overview of the discipline, Hecht's PHYSICS: CALCULUS, Second Edition is a return to basics. Strong pedagogy, a descriptive focus, a knock-out art program, biological/medical applications, and help with the MCAT are some of the reasons why professors use this ground-breaking text. Hecht's passion and enthusiasm for the subject matter is apparent on every page. While Hecht covers a range of material from kinetics to quantum physics, he carefully limits the mathematics required to basic calculus and vector analysis, though you'll note an increased use of calculus in the Second Edition. He omits obscure, high-level topics, while focusing on helping students understand the fundamental concepts of modern-day physics. Calculus and vector analysis are both thoroughly developed as tools to illuminate the physics. Hecht deliberately goes slowly, justifying where each topic is going, stopping to take stock of where the students have been, and pausing along the way to let students discover for themselves the unity of the discipline as each piece begins to from the whole. A text-correlated problem-solving CD-ROM is included with each new copy of the text to help students with vital problem-solving skills. Historical materials include details of the lives of great scientists making these larger-than-life figures less intimidating and their work more approachable. In a similar vein, the book is responsive to significant contributions made by women in physics. Most important, the historical approach allows physics to unfold more clearly. Hecht motivates students to learn how physics directly affects their lives with answers to practical questions such as, How do we walk? Why do bones break? How does a speedometer work? Many photographs throughout the text depict commonplace phenomena that usually go unnoticed. A new feature called Exploring Physics on Your Own gives students experiment

Author : Cejnar, Pavel
Publisher : Charles University in Prague, Karolinum Press
Page : 210 pages
File Size : 49,8 Mb
Release : 2013-09-01
Category : Science
ISBN : 9788024623214

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A Condensed Course of Quantum Mechanics by Cejnar, Pavel Pdf

This book represents a concise summary of non-relativistic quantum mechanics on the level suitable for university students of physics. It covers, perhaps even slightly exceeds, a one-year course of about 50 lectures, requiring basic knowledge of calculus, algebra, classical mechanics and a bit of motivation for the quantum adventure. The exposition is succinct, with minimal narration, but with a maximum of explicit and hierarchically structured mathematical derivations. The text covers all essential topics of university courses of quantum mechanics – from general mathematical formalism to specific applications. The formulation of quantum theory is accompanied by illustrations of the general concepts of elementary quantum systems. Some subtleties of mathematical foundations are overviewed, but the formalism is used in an accessible, intuitive way. Besides the traditional topics of non-relativistic quantum mechanics, such as single-particle dynamics, symmetries, semiclassical and perturbative approximations, density-matrix formalism, scattering theory, theory of angular momentum, description of many-particle systems – the course also touches upon some modern issues, including quantum entanglement, decoherence, measurement, nonlocality, and quantum information. Historical context and chronology of basic achievements is outlined in brief remarks. The book is intended for beginners as a supplement to lectures, however, it may also be used by more advanced students as a compact and comprehensible overview of elementary quantum theory

Author : Jacques Vanier,Cipriana Tomescu (Mandache)
Publisher : CRC Press
Page : 172 pages
File Size : 45,6 Mb
Release : 2019-01-15
Category : Science
ISBN : 9780429812194

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Universe Dynamics by Jacques Vanier,Cipriana Tomescu (Mandache) Pdf

CHOICE Recommended Title, June 2019 Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role and use of the least action principle and the resulting Lagrange’s equations in the analysis of the laws that govern the universe. It is an ideal complimentary resource to accompany undergraduate courses and textbooks on classical mechanics. Features: Uses mathematics accessible to beginners Brings together the Principle of Least Action, Lagrange's equations, and variational principles in mechanics in one cohesive text Written in a clear and easy-to-understand manner