Author: R. J. (LOS ALAMOS NAT. LAB.) Hughes
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Supersymmetry in a First-Order Dirac Equation for a Landau-Hall System
Author: R. J. (LOS ALAMOS NAT. LAB.) Hughes
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
The Supersymmetric Dirac Equation
Author: Allen Hirshfeld
Publisher: World Scientific
ISBN: 1848167970
Category : Science
Languages : en
Pages : 216
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.
Publisher: World Scientific
ISBN: 1848167970
Category : Science
Languages : en
Pages : 216
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.
Energy Research Abstracts
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 936
Book Description
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 936
Book Description
Publications of Los Alamos Research
Author: Los Alamos National Laboratory
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 184
Book Description
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 184
Book Description
Supersymmetric Quantum Mechanics in a firstorder Dirac equation
Author: R. J. Hughes
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
High Energy Physics Index
Author:
Publisher:
ISBN:
Category : Nuclear physics
Languages : en
Pages : 708
Book Description
Publisher:
ISBN:
Category : Nuclear physics
Languages : en
Pages : 708
Book Description
Supersymmetry in Quantum Mechanics
Author: Fred Cooper
Publisher: World Scientific
ISBN: 9789810246129
Category : Science
Languages : en
Pages : 226
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.
Publisher: World Scientific
ISBN: 9789810246129
Category : Science
Languages : en
Pages : 226
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.
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1226
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1226
Book Description
INIS Atomindex
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1308
Book Description
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1308
Book Description
Physics Briefs
Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 1264
Book Description
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 1264
Book Description