Quantum Theory of Gravitation

Relativistic quantum electrodynamics, which describes the electromagneticinteractions of electrons and atomic nuclei, provides the basis for modeling the electronic structure of atoms, molecules and solids and of their interactions with photons and other projectiles. The theory underlying the widely used GRASP relativistic atomic structure program, the DARC electron-atom scattering code and the new BERTHA relativistic molecular structure program is presented in depth, together with computational aspects relevant to practical calculations. Along with an understanding of the physics and mathematics, the reader will gain some idea of how to use these programs to predict energy levels, ionization energies, electron affinities, transition probabilities, hyperfine effects and other properties of atoms and molecules.

The transition from classical to modern physics in the ?rst half of the twentieth c- tury by quantum and relativity theories affected some of the most fundamental notions of physical thinking, such as matter, radiation, space, and time. This tran- tion thus represents a challenge for any attempt to understand the structures of a s- enti?c revolution. The present four-volume work aims at a comprehensive account of the way in which the work of Albert Einstein and his contemporaries changed our understanding of space, time, and gravitation. The conceptual framework of classical nineteenth-century physics had to be fundamentally restructured and reinterpreted in order to arrive at a theory of gravitation compatible with the new notions of space and time established in 1905 by Einstein’s special theory of relativity. Whereas the classical theory of gravitation postulated an instantaneous action at a distance, Einstein’s new relativistic kinematics rather suggested an analogy between the gravitational ?eld and the electromagnetic ?eld, propagating with a ?nite speed. It is therefore not surprising that Einstein was not alone in addressing the problem of formulating a theory of gravitation that complies with the kinematics of relativity t- ory. The analysis of these alternative approaches, as well as of earlier alternative approaches to gravitation within classical physics, turns out to be crucial for identi- ing the necessities and contingencies in the actual historical development.

The transition from classical to modern physics in the ?rst half of the twentieth c- tury by quantum and relativity theories affected some of the most fundamental notions of physical thinking, such as matter, radiation, space, and time. This tran- tion thus represents a challenge for any attempt to understand the structures of a s- enti?c revolution. The present four-volume work aims at a comprehensive account of the way in which the work of Albert Einstein and his contemporaries changed our understanding of space, time, and gravitation. The conceptual framework of classical nineteenth-century physics had to be fundamentally restructured and reinterpreted in order to arrive at a theory of gravitation compatible with the new notions of space and time established in 1905 by Einstein’s special theory of relativity. Whereas the classical theory of gravitation postulated an instantaneous action at a distance, Einstein’s new relativistic kinematics rather suggested an analogy between the gravitational ?eld and the electromagnetic ?eld, propagating with a ?nite speed. It is therefore not surprising that Einstein was not alone in addressing the problem of formulating a theory of gravitation that complies with the kinematics of relativity t- ory. The analysis of these alternative approaches, as well as of earlier alternative approaches to gravitation within classical physics, turns out to be crucial for identi- ing the necessities and contingencies in the actual historical development.