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Wkb Approximation In Atomic Physics
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Author :Boris Mikhailovich Karnakov Publisher :Springer Science & Business Media ISBN 13 :3642315585 Total Pages :180 pages Book Rating :4.6/5 (423 download)
Book Synopsis WKB Approximation in Atomic Physics by : Boris Mikhailovich Karnakov
Download or read book WKB Approximation in Atomic Physics written by Boris Mikhailovich Karnakov and published by Springer Science & Business Media. This book was released on 2012-08-28 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has evolved from lectures devoted to applications of the Wentzel - Kramers – Brillouin- (WKB or quasi-classical) approximation and of the method of 1/N −expansion for solving various problems in atomic and nuclear physics. The intent of this book is to help students and investigators in this field to extend their knowledge of these important calculation methods in quantum mechanics. Much material is contained herein that is not to be found elsewhere. WKB approximation, while constituting a fundamental area in atomic physics, has not been the focus of many books. A novel method has been adopted for the presentation of the subject matter, the material is presented as a succession of problems, followed by a detailed way of solving them. The methods introduced are then used to calculate Rydberg states in atomic systems and to evaluate potential barriers and quasistationary states. Finally, adiabatic transition and ionization of quantum systems are covered.
Book Synopsis Wkb Approximation in Atomic Physics by : Springer
Download or read book Wkb Approximation in Atomic Physics written by Springer and published by . This book was released on 2012-08-30 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theoretical Atomic Physics by : Harald Friedrich
Download or read book Theoretical Atomic Physics written by Harald Friedrich and published by Springer. This book was released on 2017-05-10 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and updated well-established textbook contains an advanced presentationof quantum mechanics adapted to the requirements of modern atomic physics. Itincludes topics of current interest such as semiclassical theory, chaos, atom optics andBose-Einstein condensation in atomic gases. In order to facilitate the consolidationof the material covered, various problems are included, together with completesolutions. The emphasis on theory enables the reader to appreciate the fundamentalassumptions underlying standard theoretical constructs and to embark on independentresearch projects. The fourth edition of Theoretical Atomic Physics contains anupdated treatment of the sections involving scattering theory and near-thresholdphenomena manifest in the behaviour of cold atoms (and molecules). Special attentionis given to the quantization of weakly bound states just below the continuum thresholdand to low-energy scattering and quantum reflection just above. Particular emphasisis laid on the fundamental differences between long-ranged Coulombic potentialsand shorter-ranged potentials falling off faster than 1/r2 at large distances r. The newsections on tunable near-threshold Feshbach resonances and on scattering in two spatialdimensions also address problems relevant for current and future research in the fieldof cold (and ultra-cold) atoms. Graduate students and researchers will find this book avaluable resource and comprehensive reference alike.
Book Synopsis Longitudinal Magnetic Field in WKB Method in Nanostructure Physics by : Dr Sujaul Chowdhury
Download or read book Longitudinal Magnetic Field in WKB Method in Nanostructure Physics written by Dr Sujaul Chowdhury and published by GRIN Verlag. This book was released on 2013-08-07 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master's Thesis from the year 2011 in the subject Physics - Quantum Physics, Shahjalal University of Science and Technology (Department of Physics), course: Nanostructure Physics, language: English, abstract: This book contains a comprehensive account of application of WKB method to pure Physics of nanostructures containing single or symmetric double barrier V(x) in their band model in presence of longitudinal magnetic field applied along x direction. It concentrates on effects on transmission coefficient of single and symmetric double barriers by three dimensional electron gas (3DEG). Analytical expressions for longitudinal magnetic field dependent transmission coefficient of single and symmetric double barrier of general shape are obtained first. These general expressions are then used to obtain analytical expressions of longitudinal magnetic field dependent transmission coefficient of single and symmetric double barriers of many different shapes we encounter in studying nanostructure Physics. This is followed by thorough numerical investigation to bring out effects of longitudinal magnetic field on transmission coefficient of all these barriers. Comparisons with standard results where available showed excellent agreements. Results of numerical investigation have been explained completely. The book makes well documented, with thorough calculation and discussion, pure Physics of semiconductor nanostructures.
Author :Harald Siegfried Friedrich Publisher :Springer Science & Business Media ISBN 13 :3662037041 Total Pages :426 pages Book Rating :4.6/5 (62 download)
Book Synopsis Theoretical Atomic Physics by : Harald Siegfried Friedrich
Download or read book Theoretical Atomic Physics written by Harald Siegfried Friedrich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition presents the recent developments in atomic physics. Beginning with a review of quantum mechanics, the book covers important areas of theoretical atomic physics, including semiclassical theory, periodic orbit theory, scaling properties for atoms in external fields, threshold behavior of ionization cross sections, and classical quantum dynamics of two-electron atoms.
Book Synopsis Quantum Mechanics by : Varadarajan Devanathan
Download or read book Quantum Mechanics written by Varadarajan Devanathan and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quantum Mechanics describes the phenomena that matter and light exhibit on an atomic scale and so the study of atomic physics, nuclear physics and solid state physics are impossible without a clear understanding of the basic concepts and formalism of Quantum Mechanics. Since Physics deals essentially with numbers - the measurement of physical quantities and the calculations of these quantities on the basis of a theoretical framework - adequate attention has been paid to computation and numerical exercises. This book aims to promote a comprehensive understanding of the subject with illustrative examples."--BOOK JACKET.
Book Synopsis Quantum Theory Of Tunneling by : Mohsen Razavy
Download or read book Quantum Theory Of Tunneling written by Mohsen Razavy and published by World Scientific. This book was released on 2003-01-29 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the applications. The topics addressed include exponential and nonexponential decay processes and the application of scattering theory to tunneling problems. In addition to the Schrödinger equation approach, the path integral, Heisenberg's equations and the phase space method are all used to study the motion of a particle under the barrier. Extensions to the multidimensional cases and tunneling of particles with internal degrees of freedom are also considered. Furthermore, recent advances concerning time delay and tunneling times and some of the problems associated with their measurement are also discussed. Finally, some examples of tunneling in atomic, molecular, nuclear and condensed matter physics are presented.
Download or read book Atomic Physics written by SN Ghoshal and published by S. Chand Publishing. This book was released on 2007 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: the book has been revised to include the postgraduate physics sylabi of indian Universities in addition to the undergraduate honours syllabi covered in the previous edition.Apart from the new addition made in the existing chapters have been added in this edition to deal with the quantum mechanical theories of atomic and molecular structure.
Book Synopsis Quantum Mechanics by : Horatiu Nastase
Download or read book Quantum Mechanics written by Horatiu Nastase and published by Cambridge University Press. This book was released on 2022-08-04 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for a two-semester graduate course in Quantum Mechanics, this comprehensive text helps develop the tools and formalism of Quantum Mechanics and its applications to physical systems. It suits students who have taken some introductory Quantum Mechanics and Modern Physics courses at undergraduate level, but it is self-contained and does not assume any specific background knowledge beyond appropriate fluency in mathematics. The text takes a modern logical approach rather than a historical one and it covers standard material, such as the hydrogen atom and the harmonic oscillator, the WKB approximations and Bohr-Sommerfeld quantization. Important modern topics and examples are also described, including Berry phase, quantum information, complexity and chaos, decoherence and thermalization, nonstandard statistics, as well as more advanced material such as path integrals, scattering theory, multiparticles and Fock space. Readers will gain a broad overview of Quantum Mechanics, as solid preparation for further study or research.
Book Synopsis Fundamentals of Nuclear Physics by : Noboru Takigawa
Download or read book Fundamentals of Nuclear Physics written by Noboru Takigawa and published by Springer. This book was released on 2017-01-12 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the current understanding of the fundamentals of nuclear physics by referring to key experimental data and by providing a theoretical understanding of principal nuclear properties. It primarily covers the structure of nuclei at low excitation in detail. It also examines nuclear forces and decay properties. In addition to fundamentals, the book treats several new research areas such as non-relativistic as well as relativistic Hartree–Fock calculations, the synthesis of super-heavy elements, the quantum chromodynamics phase diagram, and nucleosynthesis in stars, to convey to readers the flavor of current research frontiers in nuclear physics. The authors explain semi-classical arguments and derivation of its formulae. In these ways an intuitive understanding of complex nuclear phenomena is provided. The book is aimed at graduate school students as well as junior and senior undergraduate students and postdoctoral fellows. It is also useful for researchers to update their knowledge of diverse fields of nuclear structure. The book explains how basic physics such as quantum mechanics and statistical physics, as well as basic physical mathematics, is used to describe nuclear phenomena. A number of questions are given from place to place as supplements to the text.
Book Synopsis Elements of Wave Mechanics by : Sir Nevill Francis Mott
Download or read book Elements of Wave Mechanics written by Sir Nevill Francis Mott and published by . This book was released on 1962 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Theory of Tunneling by : Mohsen Razavy
Download or read book Quantum Theory of Tunneling written by Mohsen Razavy and published by World Scientific. This book was released on 2013-12-17 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this revised and expanded edition, in addition to a comprehensible introduction to the theoretical foundations of quantum tunneling based on different methods of formulating and solving tunneling problems, different semiclassical approximations for multidimensional systems are presented. Particular attention is given to the tunneling of composite systems, with examples taken from molecular tunneling and also from nuclear reactions. The interesting and puzzling features of tunneling times are given extensive coverage, and the possibility of measurement of these times with quantum clocks are critically examined. In addition, by considering the analogy between evanescent waves in waveguides and in quantum tunneling, the times related to electromagnetic wave propagation have been used to explain certain aspects of quantum tunneling times. These topics are treated in both non-relativistic as well as relativistic regimes. Finally, a large number of examples of tunneling in atomic, molecular, condensed matter and nuclear physics are presented and solved. Contents:A Brief History of Quantum TunnelingSome Basic Questions Concerning Quantum TunnelingSimple Solvable ProblemsTime-Dependence of the Wave Function in One-Dimensional TunnelingSemiclassical ApproximationsGeneralization of the Bohr–Sommerfeld Quantization Rule and Its Application to Quantum TunnelingGamow's Theory, Complex Eigenvalues, and the Wave Function of a Decaying StateTunneling in Symmetric and Asymmetric Local Potentials and Tunneling in Nonlocal and Quasi-Solvable BarriersClassical Descriptions of Quantum TunnelingTunneling in Time-Dependent BarriersDecay Width and the Scattering TheoryThe Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling ProblemsPath Integral and Its Semi-Classical Approximation in Quantum TunnelingHeisenberg's Equations of Motion for TunnelingWigner Distribution Function in Quantum TunnelingDecay Widths of Siegert States, Complex Scaling and Dilatation TransformationMultidimensional Quantum TunnelingGroup and Signal VelocitiesTime-Delay, Reflection Time Operator and Minimum Tunneling TimeMore About Tunneling TimeTunneling of a System with Internal Degrees of FreedomMotion of a Particle in a Waveguide with Variable Cross Section and in a Space Bounded by a Dumbbell-Shaped ObjectRelativistic Formulation of Quantum TunnelingInverse Problems of Quantum TunnelingSome Examples of Quantum Tunneling in Atomic and Molecular PhysicsSome Examples in Condensed Matter PhysicsAlpha Decay Readership: Graduate students and researchers in theoretical, mathematical, condensed matter and nuclear physics, as well as theoretical chemistry. Keywords:Quantum Tunneling;Quantum Clocks;Electromagnetic Wave Propagation;Semiclassical Approximations
Book Synopsis Multiphoton Processes in Atoms by : N.B. Delone
Download or read book Multiphoton Processes in Atoms written by N.B. Delone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed, modern description of the ionization of atoms by strong laser radiation. The authors present descriptions of processes occurring in atoms under the action of strong electromagnetic radiation, in particular, the shift, broadening, and mixing of atomic states. The topics include tunneling ionization, above-threshold ionization, ionization of multiply charged ions, resonance-enhanced ionization, super-intense radiation fields, and properties of Rydberg states strongly perturbed by laser radiation.
Book Synopsis Scattering Theory of Molecules, Atoms and Nuclei by : Luiz Felipe Canto
Download or read book Scattering Theory of Molecules, Atoms and Nuclei written by Luiz Felipe Canto and published by World Scientific. This book was released on 2013 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to give a coherent and comprehensive account of quantum scattering theory with applications to atomic, molecular and nuclear systems. The motivation for this is to supply the necessary theoretical tools to calculate scattering observables of these many-body systems. Concepts which are seemingly different for atomic/molecular scattering from those of nuclear systems, are shown to be the same once physical units such as energy and length are diligently clarified. Many-body resonances excited in nuclear systems are the same as those in atomic systems and come under the name of Feshbach resonances. We also lean heavily on semi-classical methods to explain the physics of quantum scattering OCo especially the interference seen in the angle dependence of the cross section. Having in mind a wide readership, the book includes sections on scattering in two dimensions which is of use in surface physics. Several problems are also included at the end of each of the chapters.
Book Synopsis Multiphoton Processes in Atoms by : Nikolai B. Delone
Download or read book Multiphoton Processes in Atoms written by Nikolai B. Delone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiphoton ionization of atoms in intense laser-light fields is gaining ground as a spectroscopic diagnostic tool. In this volume, Delone and Krainov present their and others' theoretical description of the process occurring in atoms under conditions of multi-photon impacts, in particular, the shift, broadening, and mixing of electronic states which complicate the interpretation of spectra. The topics of individual chapters include tunneling ionization, above-threshold ionization, ionization of multiply charged ions, resonance-enhenced ionization, super-intense radiation fields, and properties of Rydberg states in strong fields.
Book Synopsis Atoms in Strong Fields by : C.A. Nicolaides
Download or read book Atoms in Strong Fields written by C.A. Nicolaides and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the lectures given at the NATO Advanced Study Institute on "Atoms in Strong Fields", which took place on the island of Kos, Greece, during the two weeks of October 9-21,1988. The designation "strong field" applies here to an external electromagnetic field that is sufficiently strong to cause highly nonlinear alterations in atomic or molecular struc ture and dynamics. The specific topics treated in this volume fall into two general cater gories, which are those for which strong field effects can be studied in detail in terrestrial laboratories: the dynamics of excited states in static or quasi-static electric and magnetic fields; and the interaction of atoms and molecules with intense laser radiation. In both areas there exist promising opportunities for research of a fundamental nature. An electric field of even a few volts per centimeter can be very strong on the atom ic scale, if it acts upon a weakly bound state. The study of Rydberg states with high reso lution laser spectroscopic techniques has made it possible to follow the transition from weak-field to strong-field behavior in remarkable detail, using static fields of modest lab oratory strength; in the course of this transition the atomic system evolves from one which can be thoroughly understood in terms of field-free quantum numbers, to one which cannot be meaningfully associated at all with the zero-field states of the atom.
Book Synopsis Semiclassical Descriptions of Atomic and Nuclear Collisions by : J. Bang
Download or read book Semiclassical Descriptions of Atomic and Nuclear Collisions written by J. Bang and published by Elsevier. This book was released on 2012-12-02 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the invited papers, both theoretical and experimental presented at this symposium, the first of 3 held in Copenhagen to honour Niels Bohr's hundredth birthday.
