Special Relativistic Theory of Electromagnetism

1979 ◽  
pp. 245-284 ◽  
Author(s):  
Chao-Cheng Wang
Keyword(s):  
Relativistic Theory

Introduction to Relativistic Quantum Chemistry

2007 ◽  
Author(s):  
Kenneth G. Dyall ◽  
Knut Faegri
Keyword(s):  
Dirac Equation ◽  
Quantum Chemistry ◽  
Relativistic Theory ◽  
Density Functional ◽  
Relativistic Quantum ◽  
Relativistic Effects ◽  
Basis Sets ◽  
Spin Orbit ◽  
Approximate Methods ◽  
Nonrelativistic Theory

This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativistic theory. In addition to explaining the necessary theory in detail, at a level that the non-expert and the student should readily be able to follow, the book discusses the implementation of the theory and practicalities of its use in calculations. After a brief introduction to classical relativity and electromagnetism, the Dirac equation is presented, and its symmetry, atomic solutions, and interpretation are explored. Four-component molecular methods are then developed: self-consistent field theory and the use of basis sets, double-group and time-reversal symmetry, correlation methods, molecular properties, and an overview of relativistic density functional theory. The emphases in this section are on the basics of relativistic theory and how relativistic theory differs from nonrelativistic theory. Approximate methods are treated next, starting with spin separation in the Dirac equation, and proceeding to the Foldy-Wouthuysen, Douglas-Kroll, and related transformations, Breit-Pauli and direct perturbation theory, regular approximations, matrix approximations, and pseudopotential and model potential methods. For each of these approximations, one-electron operators and many-electron methods are developed, spin-free and spin-orbit operators are presented, and the calculation of electric and magnetic properties is discussed. The treatment of spin-orbit effects with correlation rounds off the presentation of approximate methods. The book concludes with a discussion of the qualitative changes in the picture of structure and bonding that arise from the inclusion of relativity.

scholarly journals Pion gravitational form factors in a relativistic theory of composite particles

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
A. F. Krutov ◽  
V. E. Troitsky
Keyword(s):  
Relativistic Theory ◽  
Form Factors ◽  
Composite Particles

Relativistic theory of drip-line nuclei

1998 ◽  
Vol 24 (8) ◽  
pp. 1467-1478 ◽  
Author(s):  
Peter Ring
Keyword(s):  
Relativistic Theory ◽  
Drip Line

Certain vacuum Bianchi-type models in a new relativistic theory of gravitation

1991 ◽  
Vol 179 (2) ◽  
pp. 223-235 ◽  
Author(s):  
T. Singh ◽  
Anil K. Agrawal
Keyword(s):  
Relativistic Theory ◽  
Bianchi Type ◽  
Theory Of Gravitation
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