Exact Solutions Of Relativistic Wave Equations
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Exact Solutions Of Relativistic Wave Equations
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Author : V.G. Bagrov
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-02-28
Exact Solutions Of Relativistic Wave Equations written by V.G. Bagrov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-28 with Science categories.
'Et moi * .... si favait su comment en revenir. One service mathematics bllS rendered the je n'y serais point aile.' human race. It hal put common sense back Jules Verne where it bdongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Exact Solutions Of Relativistic Wave Equations
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Author : V.G. Bagrov
language : en
Publisher: Springer
Release Date : 1990-03-14
Exact Solutions Of Relativistic Wave Equations written by V.G. Bagrov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-14 with Science categories.
The Dirac Equation And Its Solutions
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Author : Vladislav G. Bagrov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-08-20
The Dirac Equation And Its Solutions written by Vladislav G. Bagrov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-20 with Science categories.
The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.
Wave Equations In Higher Dimensions
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Author : Shi-Hai Dong
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-09
Wave Equations In Higher Dimensions written by Shi-Hai Dong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-09 with Science categories.
Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the reader’s disposal. A comprehensive description of quantum wave equations in higher dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanics textbooks and gives scientists a fresh outlook on quantum systems in all branches of physics. In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higher dimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativistic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem and the generalized hypervirial theorem in higher dimensions, the Schrödinger equation with position-dependent mass and the Kaluza-Klein theory in higher dimensions are investigated. In this context, the dependence of the energy levels on the dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography.
Relativistic Quantum Chemistry
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Author : Markus Reiher
language : en
Publisher: John Wiley & Sons
Release Date : 2009-02-17
Relativistic Quantum Chemistry written by Markus Reiher and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-17 with Science categories.
"Written by two researchers in the field, this book is a reference to explain the principles and fundamentals in a self-contained, complete and consistent way. Much attention is paid to the didactical value, with the chapters interconnected and based on each other. From beginning to end, the authors deduce all the concepts and rules, such that readers are able to understand the fundamentals and principles behind the theory. Essential reading for theoretical chemists and physicists." --Book Jacket.
Recent Developments In Gravitation And Mathematical Physics Proceedings Of The First Mexican School On Gravitation And Mathematical Physics
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Author : Alfredo Macias
language : en
Publisher: World Scientific
Release Date : 1996-05-25
Recent Developments In Gravitation And Mathematical Physics Proceedings Of The First Mexican School On Gravitation And Mathematical Physics written by Alfredo Macias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-25 with categories.
These proceedings contain lecture notes on computer algebra, cosmological models, quantum cosmology, and black hole physics. Several research articles which cover different aspects of classical cosmology, exact solutions to Einstein's equations, and quantum field theory are also included.
Symmetry And Electromagnetic Interaction Of Fields With Multi Spin
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Author : Sergey Kruglov
language : en
Publisher: Nova Publishers
Release Date : 2001
Symmetry And Electromagnetic Interaction Of Fields With Multi Spin written by Sergey Kruglov and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book deals with fields which possess different spins so, that there is an additional internal symmetry of such schemes. The main feature of theories with multi-spin is that transformations of the Lorentz and internal symmetry groups do not commute each other. So, parameters of the group are tensors but not scalars as in the more common-gauge theories. This kind of symmetry is also different from supersymmetry where group parameters are not scalars. The difference is that in this case the algebra of generators of the symmetry is closed without adding the generators of the Poincaré group. Consideration of schemes of fields with multi-spin possess some attractive features and avoid some difficulties but the price of this is the presence of the indefinite metric. It should be noted that some quantum theories of gravity also require the introduction of an indefinite metric. The localisation of parameters of the internal symmetry group leads to the gauge fields and field interactions. In Part II solutions are found for equations for particles with different spins in external classical and quantified electromagnetic fields, as well as the interaction of fields with multi-spin with external electromagnetic fields of different configurations.
Problems In Quantum Mechanics And Field Theory With Mathematical Modelling
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Author : Aleksander V. Chichurin
language : en
Publisher: CRC Press
Release Date : 2024-10-04
Problems In Quantum Mechanics And Field Theory With Mathematical Modelling written by Aleksander V. Chichurin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-04 with Science categories.
In Problems in Quantum Mechanics and Field Theory with Mathematical Modelling, a number of exactly solvable problems in electrodynamics and in quantum-mechanics of particles with different spins are presented. The main topics covered include: the Cox scalar particle with intrinsic structure in presence of the magnetic field in the spaces of constant curvature, Euclid, Riemann, and Lobachevsky; Cox particle in the Coulomb field; tunneling effect through Schwarzschild barrier for a spin 1/2 particle; electromagnetic field in Schwarzschild space-time, the Majorana - Oppenheimer approach in electrodynamics; scalar particle with polarizability in the Coulomb field; Dirac particle in the Coulomb field on the background of hyperbolic Lobachevsky and spherical Riemann models; particle with spin 1 in the Coulomb field; geometrical modeling of the media in Maxwell electrodynamics; P-asymmetric equation for a spin 1/2 particle; fermion with two mass parameters in the Coulomb field; helicity operator for a spin 2 particle in presence of the magnetic field. The book will be of interest to researchers, and is accessible enough to serve as a self-study resources for courses at undergraduate and graduate levels.
Journal Of Analysis And Its Application
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Author :
language : en
Publisher:
Release Date : 2000
Journal Of Analysis And Its Application written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematical analysis categories.
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1976
Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Nuclear energy categories.