Ebook: Relativistic Transitions in the Hydrogenic Atoms: Elementary Theory
Author: Roger Boudet
- Tags: Atomic and Molecular Structure and Spectra
- Series: Springer Series on Atomic Optical and Plasma Physics 52
- Year: 2009
- Publisher: Springer
- Edition: 1
- Language: English
- pdf
When one approaches the study of the quantal relativistic theory of the electron, one may be surprised by the gap which lies between the frame of the experiments, i.e. the real geometry of the space and time, and the abstraction of the complex matrices and spinors formalism employed in the presentation of the theory. This book uses a theory of the electron, introduced by David Hestenes, in which the mathematical language is the same as the one of the geometry of the space and time. Such a language not only allows one to find again the well known results concerning the one-electron atoms theory but furthermore leads easily to the resolution of problems considered for a long time without solution.
When one approaches the study of the quantal relativistic theory of the electron, one may be surprised by the gap which lies between the frame of the experiments, i.e. the real geometry of the space and time, and the abstraction of the complex matrices and spinors formalism employed in the presentation of the theory. This book uses a theory of the electron, introduced by David Hestenes, in which the mathematical language is the same as the one of the geometry of the space and time. Such a language not only allows one to find again the well known results concerning the one-electron atoms theory but furthermore leads easily to the resolution of problems considered for a long time without solution.
When one approaches the study of the quantal relativistic theory of the electron, one may be surprised by the gap which lies between the frame of the experiments, i.e. the real geometry of the space and time, and the abstraction of the complex matrices and spinors formalism employed in the presentation of the theory. This book uses a theory of the electron, introduced by David Hestenes, in which the mathematical language is the same as the one of the geometry of the space and time. Such a language not only allows one to find again the well known results concerning the one-electron atoms theory but furthermore leads easily to the resolution of problems considered for a long time without solution.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-1
The Electromagnetic Fields Created by Time-Sinusoidal Current....Pages 5-9
The Dirac Equation of the Electron in the Real Formalism....Pages 11-18
The Solutions of the Dirac Equation for the Central Potential in the Real Formalism....Pages 19-33
The Dirac Transition Currents Between Two States....Pages 37-39
The Field at Large Distance Created by the Transition Currents....Pages 41-45
Case of the Transitions P1/2-S1/2 and P3/2-S1/2....Pages 47-50
Interaction with an Incident Wave: The Retardation....Pages 53-55
Relativistic Expression of the Matrix Elements....Pages 57-63
The Radial Functions of the Continuum....Pages 67-72
Matrix Elements for the Transitions 1S1/2-Continuum....Pages 73-79
Matrix Elements for the Relativistic Transitions with Retardation 1S1/2-Continuum....Pages 81-88
The Radiative Recombination....Pages 89-91
The Zeeman Effect....Pages 95-99
The Contribution of the Discrete Spectrum to the Lamb Shift of the 1S1/2 State....Pages 103-106
Back Matter....Pages 109-136
When one approaches the study of the quantal relativistic theory of the electron, one may be surprised by the gap which lies between the frame of the experiments, i.e. the real geometry of the space and time, and the abstraction of the complex matrices and spinors formalism employed in the presentation of the theory. This book uses a theory of the electron, introduced by David Hestenes, in which the mathematical language is the same as the one of the geometry of the space and time. Such a language not only allows one to find again the well known results concerning the one-electron atoms theory but furthermore leads easily to the resolution of problems considered for a long time without solution.
Content:
Front Matter....Pages i-xi
Introduction....Pages 1-1
The Electromagnetic Fields Created by Time-Sinusoidal Current....Pages 5-9
The Dirac Equation of the Electron in the Real Formalism....Pages 11-18
The Solutions of the Dirac Equation for the Central Potential in the Real Formalism....Pages 19-33
The Dirac Transition Currents Between Two States....Pages 37-39
The Field at Large Distance Created by the Transition Currents....Pages 41-45
Case of the Transitions P1/2-S1/2 and P3/2-S1/2....Pages 47-50
Interaction with an Incident Wave: The Retardation....Pages 53-55
Relativistic Expression of the Matrix Elements....Pages 57-63
The Radial Functions of the Continuum....Pages 67-72
Matrix Elements for the Transitions 1S1/2-Continuum....Pages 73-79
Matrix Elements for the Relativistic Transitions with Retardation 1S1/2-Continuum....Pages 81-88
The Radiative Recombination....Pages 89-91
The Zeeman Effect....Pages 95-99
The Contribution of the Discrete Spectrum to the Lamb Shift of the 1S1/2 State....Pages 103-106
Back Matter....Pages 109-136
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