atomic molecular and nuclear physics personal study notes

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The Fundamentals Of Atomic And Molecular Physics

Author : Robert L. Brooks
ISBN : 9781461466789
Genre : Science
File Size : 29. 83 MB
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The Fundamentals of Atomic and Molecular Physics is intended as an introduction to the field for advanced undergraduates who have taken quantum mechanics. Each chapter builds upon the previous, using the same tools and methods throughout. As the students progress through the book, their ability to use these tools will steadily increase, along with their confidence in their efficacy. The book treats the two-electron atom as the simplest example of the many-electron atom—as opposed to using techniques that are not applicable to many-electron atoms—so that it is unnecessary to develop additional equations when turning to multielectron atoms, such as carbon. External fields are treated using both perturbation theory and direct diagonalization and spontaneous emission is developed from first principles. Only diatomic molecules are considered with the hydrogen molecular ion and neutral molecule treated in some detail. This comprehensive coverage of the quantum mechanics of complex atoms and simple diatomic molecules, developed from the very basic components, is extremely useful for students considering graduate studies in any area of physics.

Ettore Majorana Unpublished Research Notes On Theoretical Physics

Author : Salvatore Esposito
ISBN : 9781402091131
Genre : Science
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Without listing his works, all of which are highly notable both for the originality of the methods utilized as well as for the importance of the results achieved, we limit ourselves to the following: Inmodernnucleartheories, thecontributionmadebythisresearcher to the introduction of the forces called ‘Majorana forces’ is universally recognized as the one, among the most fundamental, that permits us to theoretically comprehend the reasons for nuclear stability. The work of Majorana today serves as a basis for the most important research in this ?eld. In atomic physics, the merit of having resolved some of the most - tricate questions on the structure of spectra through simple and elegant considerations of symmetry is due to Majorana. Lastly, he devised a brilliant method that permits us to treat the positive and negative electron in a symmetrical way, ?nally elimin- ing the necessity to rely on the extremely arti?cial and unsatisfactory hypothesis of an in?nitely large electrical charge di?used in space, a question that had been tackled in vain by many other scholars [4].

College Mathematics Ii

Author : Mohamed El-Hewie
ISBN : 1466209178
Genre :
File Size : 48. 16 MB
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Special Functions Fourier Transforms Laplace Transforms Chapter 7: SPECIAL FUNCTIONS 1. Gamma Functions 2. Beta Functions 3. Bessel Functions 3.1. Bessel equation for zero order 3.2. Properties of Bessel functions 3.3. Bessel functions of order one (n = 1) 3.4. Relationships between Bessel functions of orders zero and one 3.5. Lammel' s integrals 3.6. Fourier-Bessel expansions of zero order 3.7. Vibration of uniformly stretched membrane 3.8. Application of Bessel functions on conduction of heat 3.9. Modified Bessel function of zero order 3.10. Bessel and Kelvin functions 3.11. Bessel functions of any real order 3.12. Bessel functions of integral order 3.13. Bessel coefficients 3.14. Recurrence formulae 3.15. Bessel function as integrals 3.16. The Bessel functions of order n of the third kind (Hankel functions of order n) 4. Legendre functions 4.1. Alternative definition of Legendre polynomials 4.2. Legendre's recurrence formulae 4.3. Integral properties of Lagendre polynomial 4.4. The associated Legendre functions. 4.5. Applications of Legendre functions 5. Exercises on special functions Chapter 8: Fourier transforms 1. Fourier series and harmonic analysis 2. Fourier theorem 3. Preliminary integrals used in Fourier transforms 4. Determination of the coefficients of the Fourier expansion 5. Examples of Fourier transformations 6. Fourier expansions in cosines only 7. Fourier expansions in sines only 8. Fourier expansions in even harmonics 9. Fourier expansions in odd harmonics 10. Summary of common Fourier transforms 11. Practical Fourier Analysis Chapter 11: Laplace Transforms 1. The Laplace Transformation 2. General Theorems on the Laplace Transformation 2.1. The unit step function 2.2. The second translation or shifting property 2.3. Application of the shift theorem to the solution of difference and differential equations 2.4. The unit impulse function 2.5. The unit doublet 2.6. The behavior of f(s) as s tends to infinity. 2.7. Initial value theorem 2.8. Final value theorem 2.9. Differentiation of transform 2.10. Application of the differentiation of Laplace transform to the solution of linear differential equations with coefficients as polynomials in t. 2.11. Integration of transforms 2.12. Transforms of periodic functions 2.13. The product theorem-Convolution 2.14. Application of the product theorem to the solution of differential and integral equations 2.15. Power series method for the determination of transforms and inverse transforms 2.16. The error function or probability integral 2.17. The sine-integral function Si(t) 2.18. The Cosine -integral function Ci(t) 2.19. The exponential integral function 2.20. Evaluation of definite integrals using the Laplace transformation 2.21. The Heaviside's expansion formulae 2.22. The inversion integral 2.23. Formulae for residues 2.24. Inversion in the case of branch points 2.25. Miscellaneous Examples on Laplace Transform 2.26. Exercises on Laplace Transforms 3. Electrical Applications of the Laplace Transformation 4. Dynamical Applications of Laplace Transforms 5. Structural Applications 5.1. Deflection of beams 5.2. Exercises on Laplace Transform in practical applications 6. Using Laplace Transformation in solving Linear Partial Differential Equations 6.1. Transverse vibrations of a stretched string under gravity 6.2. Longitudinal vibrations of bars 6.3. Partial differential equations of transmission lines 6.4. Conduction of heat 6.5. Exercise on using Laplace Transformation in solving Linear Partial Differential Equations

A Student S Guide To Atomic Physics

Author : Mark Fox
ISBN : 9781107188730
Genre : Science
File Size : 26. 98 MB
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A concise overview of the fundamental concepts and applications of atomic physics for students including examples, problems, and diagrams of key concepts.

Notes On The Quantum Theory Of Angular Momentum

Author : Eugene Feenberg
ISBN : 9780486173931
Genre : Science
File Size : 50. 62 MB
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Informative review considers development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include computation and application of matrix elements of scalar, vector, and tensor operators.

Topics In Atomic Physics

Author : Charles E. Burkhardt
ISBN : 9780387310749
Genre : Science
File Size : 23. 69 MB
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The importance of the ?eld of atomic physics to modern technology cannot be overemphasized. Atomic physics served as a major impetus to the development of the quantum theory of matter in the early part of the twentieth century and, due to the availability of the laser as a laboratory tool, it has taken us into the twen- ?rst century with an abundance of new and exciting phenomena to understand. Our intention in writing this book is to provide a foundation for students to begin researchinmodernatomicphysics. Asthetitleimplies,itisnot,norwasitintended to be, an all-inclusive tome covering every aspect of atomic physics. Any specialized textbook necessarily re?ects the predilection of the authors toward certain aspects of the subject. This one is no exception. It re?ects our - lief that a thorough understanding of the unique properties of the hydrogen atom is essential to an understanding of atomic physics. It also re?ects our fasci- tion with the distinguished position that Mother Nature has bestowed on the pure Coulomb and Newtonian potentials, and thus hydrogen atoms and Keplerian - bits. Therefore, we have devoted a large portion of this book to the hydrogen atom toemphasizethisdistinctiveness. Weattempttostresstheuniquenessoftheattr- tive 1/r potential without delving into group theory. It is our belief that, once an understanding of the hydrogen atom is achieved, the properties of multielectron atoms can be understood as departures from hydrogenic properties.

Molecular Physics Thermodynamics Atomic And Nuclear Physics

Author : V. L. Ginzburg
ISBN : 9781483139302
Genre : Science
File Size : 75. 85 MB
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Problems in Undergraduate Physics, Volume IV: Molecular Physics, Thermodynamics, Atomic and Nuclear Physics presents a set of problems in physics as well as answers and solutions in the second part. This book covers several subjects, including thermometry, atoms, kinetic theory of matter, surface tension, thermodynamics, and thermal conductivity. Organized into two parts encompassing two chapters, this volume begins with several problems involving molecular physics, particularly calorimetry, thermal expansion, and thermometry. This text proceeds with a set of problems concerning atomic and nuclear physics, including the quantum nature of light, the wave properties of particles, X-rays, and structure of the atom and spectra. Tables at the end of this book provide information on the range–energy relationships for particles in emulsions as well as well as on the uranium–radium radioactive series. This book is intended to be suitable for students in physics. Teachers and research workers will also find this book extremely useful.

Atomic And Nuclear Chemistry

Author : T. A. H. Peacocke
ISBN : 9781483140209
Genre : Science
File Size : 88. 30 MB
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Atomic and Nuclear Chemistry, Volume 1: Atomic Theory and Structure of the Atom presents the developments in classical atomic chemistry in the 19th century. This book discusses the atomic theory in terms of existing ideas on nuclear structure and the wave mechanics of electrons in atoms. Organized into six chapters, this volume begins with an overview of the origin of the atomic theory. This text then explores Berzelius's atomic weight tables. Other chapters consider Dalton's conception of an atom as a hard dense sphere. This book discusses as well the significant results of the simple wave mechanical treatment. The final chapter deals with the determination of the Avogadro's number, which enabled the actual masses of atoms and molecules to be determined. This book is a valuable resource for atomic physicists, chemists, and research workers. First-year university students who are taking chemistry as a subsidiary subject will also find this book useful.

X Rays In Atomic And Nuclear Physics

Author : N. A. Dyson
ISBN : 052101722X
Genre : Science
File Size : 32. 93 MB
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This book deals with the methods of X-ray production at a level which is accessible to advanced undergraduates and researchers who use X-rays. It also discusses the fundamentals of these physical properties from an experimental viewpoint which is not covered in more specialised texts.

Atomic And Molecular Spectroscopy

Author : Rita Kakkar
ISBN : 9781316395394
Genre : Science
File Size : 33. 61 MB
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Spectroscopy is the study of electromagnetic radiation and its interaction with solid, liquid, gas and plasma. It is one of the widely used analytical techniques to study the structure of atoms and molecules. The technique is also employed to obtain information about atoms and molecules as a result of their distinctive spectra. The fast-spreading field of spectroscopic applications has made a noteworthy influence on many disciplines, including energy research, chemical processing, environmental protection and medicine. This book aims to introduce students to the topic of spectroscopy. The author has avoided the mathematical aspects of the subject as far as possible; they appear in the text only when inevitable. Including topics such as time-dependent perturbation theory, laser action and applications of Group Theory in interpretation of spectra, the book offers a detailed coverage of the basic concepts and applications of spectroscopy.

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