Paradoxes in the Theory of Relativity

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics
Cover of the book Paradoxes in the Theory of Relativity by Yakov Terletskii, Springer US
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yakov Terletskii ISBN: 9781489926746
Publisher: Springer US Publication: June 29, 2013
Imprint: Springer Language: English
Author: Yakov Terletskii
ISBN: 9781489926746
Publisher: Springer US
Publication: June 29, 2013
Imprint: Springer
Language: English

That Einstein's insight was profound goes without saying. A strildng indication of its depth is the abundance of unexpected riches that others have found in his work - riches reserved for those daring to give serious attention to implications that at first sight seem unphysical. A famous instance is that of the de Broglie waves. If, in ac­ cordance with Fermat's principle, a photon followed the path of least time, de Broglie felt that the photon should have some phys­ ical means of exploring alternative paths to determine which of them would in fact require the least time. For this and other rea­ sons, he assumed that the photon had a nonvanishing rest mass, and, in accordance with Einstein's E = h v, he endowed the photon with a spread-out pulsation of the form A Sin(27TEt/h) in the photon's rest frame. According to the theory of relativity such a pulsation, every­ where simultaneous in a given frame, seemed absurd as a physical entity. Nevertheless de Broglie took it seriously, applied a Lorentz transformation in the orthodox relativistic tradition, and found that the simultaneous pulsation was transformed into a wave whose phase velocity was finite but greater than c while its group velocity was that of the particle. By thus pursuing Einsteinian concepts into thickets that others had not dared to penetrate, de Broglie laid the brilliant foundations of wave mechanics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

That Einstein's insight was profound goes without saying. A strildng indication of its depth is the abundance of unexpected riches that others have found in his work - riches reserved for those daring to give serious attention to implications that at first sight seem unphysical. A famous instance is that of the de Broglie waves. If, in ac­ cordance with Fermat's principle, a photon followed the path of least time, de Broglie felt that the photon should have some phys­ ical means of exploring alternative paths to determine which of them would in fact require the least time. For this and other rea­ sons, he assumed that the photon had a nonvanishing rest mass, and, in accordance with Einstein's E = h v, he endowed the photon with a spread-out pulsation of the form A Sin(27TEt/h) in the photon's rest frame. According to the theory of relativity such a pulsation, every­ where simultaneous in a given frame, seemed absurd as a physical entity. Nevertheless de Broglie took it seriously, applied a Lorentz transformation in the orthodox relativistic tradition, and found that the simultaneous pulsation was transformed into a wave whose phase velocity was finite but greater than c while its group velocity was that of the particle. By thus pursuing Einsteinian concepts into thickets that others had not dared to penetrate, de Broglie laid the brilliant foundations of wave mechanics.

More books from Springer US

Cover of the book Electron Energy-Loss Spectroscopy in the Electron Microscope by Yakov Terletskii
Cover of the book Hybrid Finite Element Method for Stress Analysis of Laminated Composites by Yakov Terletskii
Cover of the book Sports Hernia and Athletic Pubalgia by Yakov Terletskii
Cover of the book The Role of the State in Pension Provision: Employer, Regulator, Provider by Yakov Terletskii
Cover of the book Leukocyte Recruitment, Endothelial Cell Adhesion Molecules, and Transcriptional Control by Yakov Terletskii
Cover of the book Vitiligo and Other Hypomelanoses of Hair and Skin by Yakov Terletskii
Cover of the book Behavior Genetic Approaches in Behavioral Medicine by Yakov Terletskii
Cover of the book An Introduction to Radiation Protection by Yakov Terletskii
Cover of the book Public Policy Analysis by Yakov Terletskii
Cover of the book Cytopathology of Liver, Biliary Tract, Kidney and Adrenal Gland by Yakov Terletskii
Cover of the book Advances in Ocular Toxicology by Yakov Terletskii
Cover of the book Biology of Earthworms by Yakov Terletskii
Cover of the book The Causal Structure of Long-Term Supply Relationships by Yakov Terletskii
Cover of the book Foreign Aid in the Twenty-First Century by Yakov Terletskii
Cover of the book Open Networked "i-Learning" by Yakov Terletskii
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy