Supersymmetry in a First-Order Dirac Equation for a Landau-Hall System PDF Download
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Author: R. J. (LOS ALAMOS NAT. LAB.) Hughes
Publisher:
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Category :
Languages : en
Pages :
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Author: R. J. (LOS ALAMOS NAT. LAB.) Hughes
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Allen Hirshfeld
Publisher: World Scientific
ISBN: 1848167970
Category : Science
Languages : en
Pages : 216
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Book Description
The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book. Analysis of the concept of eccentricity of the orbits turns out to be essential to understanding the relation of the classical and quantum mechanical models. The opportunity is taken to relive the great moments of physics: From Kepler's discovery of the laws of motion of the planets the development is traced through the Dirac equation up to modern advances, which bring the concepts of supersymmetry to bear on the derivation of the solutions.
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Category : Power resources
Languages : en
Pages : 936
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Author: Los Alamos National Laboratory
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Category : Research
Languages : en
Pages : 184
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Author: R. J. Hughes
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Category :
Languages : en
Pages :
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Author:
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Category : Nuclear physics
Languages : en
Pages : 708
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Author: Fred Cooper
Publisher: World Scientific
ISBN: 9789810246129
Category : Science
Languages : en
Pages : 226
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Book Description
This invaluable book provides an elementary description of supersymmetric quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. It gives physicists a fresh outlook and new ways of handling quantum-mechanical problems, and also leads to improved approximation techniques for dealing with potentials of interest in all branches of physics. The algebraic approach to obtaining eigenstates is elegant and important, and all physicists should become familiar with this. The book has been written in such a way that it can be easily appreciated by students in advanced undergraduate quantum mechanics courses. Problems have been given at the end of each chapter, along with complete solutions to all the problems. The text also includes material of interest in current research not usually discussed in traditional courses on quantum mechanics, such as the connection between exact solutions to classical solution problems and isospectral quantum Hamiltonians, and the relation to the inverse scattering problem.
Author:
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Category : Mathematics
Languages : en
Pages : 1226
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Author:
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ISBN:
Category : Nuclear energy
Languages : en
Pages : 1308
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Author:
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ISBN:
Category : Physics
Languages : en
Pages : 1264
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