Source-field Causality and Its Application Classical Radiation Theory PDF Download
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Author: E. J. Post
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 38
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Book Description
A mathematical procedure is given for singling out the causal solutions from the general set of solutions of self-adjoint differential equations. It consists in splitting the self-adjoint equation into a pair of adjoint equations whose solutions are purely causal and purely anti-causal, respectively. A subsequent merging of the equations then generates in full detail, including singularities, the causal and anti-causal :olutions of the original self -adjoint equation. As an important example, it is shown that the d'Alembertian with point source has a legitimate causal solution involving both retarded and advanced potentials at the source point itself, while at all other points, the retarded potential alone satisfies causality. Within the context of the formalism some recent attempts at modifying classical radiation theory can now be reassessed and more clearly categorized. In particular, the Dirac and Wheeler-Feynman approaches are examined in this light.
Author: E. J. Post
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 38
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Book Description
A mathematical procedure is given for singling out the causal solutions from the general set of solutions of self-adjoint differential equations. It consists in splitting the self-adjoint equation into a pair of adjoint equations whose solutions are purely causal and purely anti-causal, respectively. A subsequent merging of the equations then generates in full detail, including singularities, the causal and anti-causal :olutions of the original self -adjoint equation. As an important example, it is shown that the d'Alembertian with point source has a legitimate causal solution involving both retarded and advanced potentials at the source point itself, while at all other points, the retarded potential alone satisfies causality. Within the context of the formalism some recent attempts at modifying classical radiation theory can now be reassessed and more clearly categorized. In particular, the Dirac and Wheeler-Feynman approaches are examined in this light.
Author: E. J. Post
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 0
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Book Description
A mathematical procedure is given for singling out the causal solutions from the general set of solutions of self-adjoint differential equations. It consists in splitting the self-adjoint equation into a pair of adjoint equations whose solutions are purely causal and purely anti-causal, respectively. A subsequent merging of the equations then generates in full detail, including singularities, the causal and anti-causal solutions of the original self -adjoint equation. As an important example, it is shown that the d'Alembertian with point source has a legitimate causal solution involving both retarded and advanced potentials at the source point itself, while at all other points, the retarded potential alone satisfies causality. Within the context of the formalism some recent attempts at modifying classical radiation theory can now be reassessed and more clearly categorized. In particular, the Dirac and Wheeler-Feynman approaches are examined in this light.
Author: Victor Fritz Lenzen
Publisher:
ISBN:
Category : Causation
Languages : en
Pages : 142
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Book Description
Author: Philipp Frank
Publisher: Springer Science & Business Media
ISBN: 940115516X
Category : Science
Languages : en
Pages : 366
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Book Description
The Law of Causality and its Limits was the principal philosophical work of the physicist turned philosopher, Philipp Frank. Born in Vienna on March 20, 1884, Frank died in Cambridge, Massachusetts on July 21, 1966. He received his doctorate in 1907 at the University of Vienna in theoretical physics, having studied under Ludwig Boltzmann; his sub sequent research in physics and mathematics was represented by more than 60 scientific papers. Moreover his great success as teacher and expositor was recognized throughout the scientific world with publication of his collaborative Die Differentialgleichungen der Mechanik und Physik, with Richard von Mises, in 1925-27. Frank was responsible for the second volume, on physics, and especially noted for his authoritative article on classical Hamiltonian mechanics and optics. Among his earliest papers were those, beginning in 1908, devoted to special relativity, which together with general relativity and physical cosmology occupied him throughout his life. Already in 1907, Frank published his seminal paper 'Kausalgesetz und Erfahrung' ('Experience and the Law of Causality'), much later collected with a splendid selection of his essays on philosophy of science, in English (1941c and 1949g, in our Bibliography). Joining the first 'Vienna Circle' in the first decade of the 20th century, with Hans Hahn, mathematician, and Otto Neurath, sociologist and economist, and deeply influenced by studies of Ernst Mach's critical conceptual histories of science and by the striking challenge of Poincare and Duhem, Frank continued his epistemological investigations.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 430
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Book Description
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 778
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 760
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Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 576
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Book Description
Author: United States. Air Force. Office of Aerospace Research
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 586
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Book Description
Author: Vyacheslav S. Stepin
Publisher: Springer Science & Business Media
ISBN: 1402030460
Category : Philosophy
Languages : en
Pages : 424
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Book Description
In Theoretical Knowledge an original conception of a structure and dynamics of scientific knowledge is proposed. A detailed analysis of the foundations of science performed by the author allowed him to develop new ideas and approaches, to demonstrate how sociocultural factors are incorporated in the process of yielding of new theories. He shows direct and inverse links between foundations of science and new theories and empirical facts evolved from those, how among many potentially possible histories of science a culture selects just those directions which become a real history of science. The author analyses mechanisms of the generation of scientific theories and shows that those are changed in the process of historical development of science. He displays three historical types of scientific rationality (classical, non-classical and post-non-classical, which appears in modern science) and shows features of their coexistence and interplay. It is shown that along with the emerging of post-non-classical rationality science increases the sphere of its worldview applications. Science begins to correlate not only with the basic values of technogenic civilization but also with some values and patterns of traditional cultures. The investigation is based on the extensive literature on the history of natural and social sciences. The reader will find in the book authentic historical reconstructions of the processes of the development of classical and quantum electrodynamics, relativity, and conceptions of evolution in biology.
