Classical And Quantum Mechanics Of Noncentral Potentials

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Classical and Quantum Mechanics of Noncentral Potentials

Author : Radhey S. Kaushal
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 46,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662113257

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Classical and Quantum Mechanics of Noncentral Potentials by Radhey S. Kaushal Pdf

Non-central forces have a wide variety of applications in classical and quantum mechanics as demonstrated in this book. The author emphasizes the study of time-dependent potentials, predominantly in two dimensions, without neglecting the quite well understood time-independent case. The construction of invariants in the classical case and the study of solutions to Schrödinger's equation, as well as a detailed presentation of various mathematical techniques are of main concern to the author. The book addresses theoretical physicists and mathematicians, but it will also be useful for electrical and mechanical engineers.

Quantum Theory

Author : D. R. Bates
Publisher : Academic Press
Page : 466 pages
File Size : 53,6 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483275888

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Quantum Theory by D. R. Bates Pdf

Quantum Theory: A Treatise in Three Volumes, I: Elements focuses on the principles, methodologies, and approaches involved in quantum theory, including quantum mechanics, linear combinations, collisions, and transitions. The selection first elaborates on the fundamental principles of quantum mechanics, exactly soluble bound state problems, and continuum. Discussions focus on delta function normalization, spherically symmetric potentials, rectangular potential wells, harmonic oscillators, spherically symmetrical potentials, Coulomb potential, axiomatic basis, consequences of first three postulates, and time-dependent states. The text then examines the stationary perturbation theory, variational method, and the asymptotic approximation method. Concerns cover the application of the asymptotic approximation method to potential barrier problems, method of linear combinations, lower bounds for the ground state eigenenergy, relative degeneracy, and degenerate case. The publication examines the theory of collisions and transitions, including the scattering of identical particles, Coulomb field, methods of determining scattering phases, persistent perturbations, and adiabatic approximation. The selection is a valuable source of information for researchers interested in quantum theory.

Quantum-Classical Correspondence

Author : A. O. Bolivar
Publisher : Springer Science & Business Media
Page : 196 pages
File Size : 52,9 Mb
Release : 2013-04-09
Category : Science
ISBN : 9783662096499

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Quantum-Classical Correspondence by A. O. Bolivar Pdf

At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.

Semiclassical Physics

Author : Matthias Brack,Rajat Bhaduri
Publisher : CRC Press
Page : 397 pages
File Size : 55,6 Mb
Release : 2018-03-05
Category : Science
ISBN : 9780429982453

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Semiclassical Physics by Matthias Brack,Rajat Bhaduri Pdf

This book attempts to convey to the reader that semiclassical physics can be fun, as well as useful for understanding quantum fluctuations in interacting many-body systems. It presents applications to finite fermion systems in diverse areas of physics.

Nonlinear Systems

Author : R. Sahadevan
Publisher : CRC Press
Page : 404 pages
File Size : 43,9 Mb
Release : 2002
Category : Mathematics
ISBN : 0849317223

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Nonlinear Systems by R. Sahadevan Pdf

Nonlinear Systems covers a wide range of topics in nonlinear science, from general nonlinear dynamics, soliton systems, and the solution of nonlinear differential and difference equations to the integrability of discrete nonlinear systems, and classical and quantum chaos. Its chapters reflect the current status of important nonlinear theories in various areas of applied mathematics and mathematical physics and collectively provide a comprehensive picture of new areas and their applications.

Solid State Physics

Author : S. L. Chaplot,P. S. R. Krishna,T. Sakuntala
Publisher : Alpha Science Int'l Ltd.
Page : 726 pages
File Size : 44,7 Mb
Release : 2002
Category : Medical
ISBN : 8173194866

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Solid State Physics by S. L. Chaplot,P. S. R. Krishna,T. Sakuntala Pdf

This volume covers the proceedings of the 44th Department of Atomic Engineering (DAE) Solid State Physics Symposium.With contributions of papers from institutions from around the world. Contains 316 research articles, including 28 invited papers, on a wide range of topics of current interest in solid state physics comprising the following categories: Phase Transitions Phonons Soft-condensed Matter Electronic Structure Novel Materials Superconductivity Experimental Techniques and Instrumentation Magnetism Liquids, Glasses and Amorphous Systems Transport Properties Relaxation Studies Semiconductor Physics Surface Science Key Features: Recent developments in Synchrotron Research Photo-electron Spectroscopy Newly emerging superconductors

Physics of Particles, Nuclei and Materials

Author : Raj K. Gupta
Publisher : Alpha Science Int'l Ltd.
Page : 312 pages
File Size : 42,5 Mb
Release : 2002
Category : Science
ISBN : 8173194750

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Physics of Particles, Nuclei and Materials by Raj K. Gupta Pdf

Presents latest developments in the fields of high, intermediate and low energy physics as well as in molecular and solid materials. With a detailed introduction, the subject matter is reviewed to its latest status, such as: High energy physics _ empirical approach systematizing the information on masses & spins etc, fundamental theories of antimatter, quarks & neutrino mass Intermediate energy _ hot and dense nuclear matter Low energy physics _ nuclear mass formula, "halo" structure of light, cold nuclear phenomena (i.e., cold fission) Solid materials _ carbon clusters, semiconductors and phenomenon of atomic diffusion in solids Illustrating both present and future possibilities of new electrochromic materials and devices along with advances in Physics of molecular fluids and molecular materials in cosmic objects.

Supersymmetric Quantum Mechanics

Author : Asim Gangopadhyaya,Jeffry Mallow,Constantin Rasinariu
Publisher : World Scientific Publishing Company
Page : 296 pages
File Size : 52,7 Mb
Release : 2017-10-17
Category : Science
ISBN : 9789813221062

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Supersymmetric Quantum Mechanics by Asim Gangopadhyaya,Jeffry Mallow,Constantin Rasinariu Pdf

We have written this book in order to provide a single compact source for undergraduate and graduate students, as well as for professional physicists who want to understand the essentials of supersymmetric quantum mechanics. It is an outgrowth of a seminar course taught to physics and mathematics juniors and seniors at Loyola University Chicago, and of our own research over a quarter of a century.

Quantum Structural Studies

Author : Ruth E Kastner,Jasmina Jeknić-Dugić,George Jaroszkiewicz
Publisher : World Scientific
Page : 500 pages
File Size : 54,8 Mb
Release : 2016-11-10
Category : Science
ISBN : 9781786341426

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Quantum Structural Studies by Ruth E Kastner,Jasmina Jeknić-Dugić,George Jaroszkiewicz Pdf

The structural aspects of composite quantum systems in the foundation, interpretation and application of quantum theory is an increasingly prominent topic of physics research. As an emerging field, it seeks to understand the origins of the classical world of experience from the quantum level. Quantum Structural Studies presents conceptual fundamentals and mathematical methods for investigating the structuring of quantum systems into subsystems. Split into four sections, the topics covered include the historical and philosophical aspects of quantum structures, specific interpretive approaches and ontologies, and alternative methodological approaches to quantum mechanics. Questions addressed are: Can the classically relevant degrees of freedom (such as the center of mass) be considered physically realistic, and if so, in what sense?In what sense might various emergent structures be relevant for the transition from the quantum description to the classical?Do suggested new approaches describe phenomenology and proposals for new experiments? Specialists, graduate students and researchers seeking an introduction to the field of emergent structures and new directions for research and experimentation can use this book to find up-to-date representative texts and reviews.

The Mathematica GuideBook for Symbolics

Author : Michael Trott
Publisher : Springer Science & Business Media
Page : 1490 pages
File Size : 49,8 Mb
Release : 2007-04-03
Category : Computers
ISBN : 9780387288154

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The Mathematica GuideBook for Symbolics by Michael Trott Pdf

Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www/MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations

Classical Nonintegrability, Quantum Chaos

Author : Andreas Knauf,Yakov G. Sinai
Publisher : Birkhäuser
Page : 104 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034889322

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Classical Nonintegrability, Quantum Chaos by Andreas Knauf,Yakov G. Sinai Pdf

Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. Knauf deal with solutions of the Hamilton and the Schr6dinger equation. Scatter ing by a potential force tends to be irregular if three or more scattering centres are present, and a typical phenomenon is the occurrence of a Cantor set of bounded orbits. The presence of this set influences those scattering orbits which come close.

Quantum Non-integrability

Author : Da-hsuan Feng,Bailin Hao,Jian-min Yuan
Publisher : World Scientific
Page : 562 pages
File Size : 43,9 Mb
Release : 1992-09-30
Category : Electronic
ISBN : 9789814635684

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Quantum Non-integrability by Da-hsuan Feng,Bailin Hao,Jian-min Yuan Pdf

Recent developments in nonlinear dynamics has significantly altered our basic understanding of the foundations of classical physics. However, it is quantum mechanics, not classical mechanics, which describes the motion of the nucleons, atoms, and molecules in the microscopic world. What are then the quantum signatures of the ubiquitous chaotic behavior observed in classical physics? In answering this question one cannot avoid probing the deepest foundations connecting classical and quantum mechanics. This monograph reviews some of the most current thinkings and developments in this exciting field of physics.