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Paradoxes in the Theory of Relativity
Taschenbuch von Yakov Terletskii
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
I. The Name and Content of the Theory of Relativity.- II. Einstein's Postulates and the Lorentz Transformations.- III. Paradoxes in Kinematics.- IV. Paradoxes in Relativistic Dynamics.- V. Are Velocities Higher than the Velocity of Light Possible?.- VI. Negative and Imaginary Proper Masses.- Literature Cited.
Details
Erscheinungsjahr: 2013
Fachbereich: Theoretische Physik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
120 S.
ISBN-13: 9781489926760
ISBN-10: 1489926763
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Terletskii, Yakov
Auflage: Softcover reprint of the original 1st edition 1968
Hersteller: Springer US
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 8 mm
Von/Mit: Yakov Terletskii
Erscheinungsdatum: 09.06.2013
Gewicht: 0,219 kg
Artikel-ID: 105547197
Inhaltsverzeichnis
I. The Name and Content of the Theory of Relativity.- II. Einstein's Postulates and the Lorentz Transformations.- III. Paradoxes in Kinematics.- IV. Paradoxes in Relativistic Dynamics.- V. Are Velocities Higher than the Velocity of Light Possible?.- VI. Negative and Imaginary Proper Masses.- Literature Cited.
Details
Erscheinungsjahr: 2013
Fachbereich: Theoretische Physik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
120 S.
ISBN-13: 9781489926760
ISBN-10: 1489926763
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Terletskii, Yakov
Auflage: Softcover reprint of the original 1st edition 1968
Hersteller: Springer US
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 8 mm
Von/Mit: Yakov Terletskii
Erscheinungsdatum: 09.06.2013
Gewicht: 0,219 kg
Artikel-ID: 105547197
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