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The Lazy Universe
An Introduction to the Principle of Least Action
Buch von Jennifer Coopersmith
Sprache: Englisch

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Beschreibung
The Principle of Least Action underlies all physics and leads into quantum mechanics and Einstein's Relativity. There are some textbooks that do the calculations, and one book with nice pictures, but no book (before this one) that explains what 'action' is, and why nature follows this principle.
The Principle of Least Action underlies all physics and leads into quantum mechanics and Einstein's Relativity. There are some textbooks that do the calculations, and one book with nice pictures, but no book (before this one) that explains what 'action' is, and why nature follows this principle.
Über den Autor
Jennifer Coopersmith took her PhD in nuclear physics from the University of London, and was later a research fellow at TRIUMF, University of British Columbia. She was for many years an associate lecturer for the Open University (London and Oxford), and was then a tutor on astrophysics courses at Swinburne University of Technology in Melbourne while based at La Trobe University in Bendigo, Victoria. She now lives in France.
Inhaltsverzeichnis
  • 1: Introduction

  • 2: Antecedents

  • 3: Mathematics and physics preliminaries

  • 4: The Principle of Virtual Work

  • 5: D'Alembert's Principle

  • 6: Lagrangian Mechanics

  • 7: Hamiltonian Mechanics

  • 8: The whole of physics

  • 9: Final words

  • Appendices

  • A1.1: Newton's Laws of Motion

  • A3.1: Reversible Displacements

  • A2.1: Portraits of the physicists

  • A6.1: Worked examples in Lagrangian Mechanics

  • A6.2: Proof that T is a function of v²

  • A6.3: Energy conservation and the homogeneity of time

  • A6.4: The method of Lagrange Multipliers

  • A6.5: Generalized Forces

  • A7.1: Hamilton's Transformation, Examples

  • A7.2: Demonstration that the p¿s are independent coordinates

  • A7.3: Worked examples in Hamiltonian Mechanics

  • A7.4: Incompressibility of the phase fluid

  • A7.5: Energy conservation in extended phase space

  • A7.6: Link between the action, S, and the 'circulation'

  • A7.7: Transformation equations linking p and q via S

  • A7.8: Infinitesimal canonical transformations

  • A7.9: Perpendicularity of wavefronts and rays

  • A7.10: Problems solved using the Hamilton-Jacobi Equation

  • A7.11: Quasi refractive index in mechanics

  • A7.12: Einstein's link between Action and the de Broglie waves

Details
Erscheinungsjahr: 2017
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 288
Inhalt: Gebunden
ISBN-13: 9780198743040
ISBN-10: 0198743041
Sprache: Englisch
Einband: Gebunden
Autor: Coopersmith, Jennifer
Hersteller: Oxford University Press
Maße: 225 x 149 x 23 mm
Von/Mit: Jennifer Coopersmith
Erscheinungsdatum: 11.05.2017
Gewicht: 0,511 kg
preigu-id: 109103576
Über den Autor
Jennifer Coopersmith took her PhD in nuclear physics from the University of London, and was later a research fellow at TRIUMF, University of British Columbia. She was for many years an associate lecturer for the Open University (London and Oxford), and was then a tutor on astrophysics courses at Swinburne University of Technology in Melbourne while based at La Trobe University in Bendigo, Victoria. She now lives in France.
Inhaltsverzeichnis
  • 1: Introduction

  • 2: Antecedents

  • 3: Mathematics and physics preliminaries

  • 4: The Principle of Virtual Work

  • 5: D'Alembert's Principle

  • 6: Lagrangian Mechanics

  • 7: Hamiltonian Mechanics

  • 8: The whole of physics

  • 9: Final words

  • Appendices

  • A1.1: Newton's Laws of Motion

  • A3.1: Reversible Displacements

  • A2.1: Portraits of the physicists

  • A6.1: Worked examples in Lagrangian Mechanics

  • A6.2: Proof that T is a function of v²

  • A6.3: Energy conservation and the homogeneity of time

  • A6.4: The method of Lagrange Multipliers

  • A6.5: Generalized Forces

  • A7.1: Hamilton's Transformation, Examples

  • A7.2: Demonstration that the p¿s are independent coordinates

  • A7.3: Worked examples in Hamiltonian Mechanics

  • A7.4: Incompressibility of the phase fluid

  • A7.5: Energy conservation in extended phase space

  • A7.6: Link between the action, S, and the 'circulation'

  • A7.7: Transformation equations linking p and q via S

  • A7.8: Infinitesimal canonical transformations

  • A7.9: Perpendicularity of wavefronts and rays

  • A7.10: Problems solved using the Hamilton-Jacobi Equation

  • A7.11: Quasi refractive index in mechanics

  • A7.12: Einstein's link between Action and the de Broglie waves

Details
Erscheinungsjahr: 2017
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 288
Inhalt: Gebunden
ISBN-13: 9780198743040
ISBN-10: 0198743041
Sprache: Englisch
Einband: Gebunden
Autor: Coopersmith, Jennifer
Hersteller: Oxford University Press
Maße: 225 x 149 x 23 mm
Von/Mit: Jennifer Coopersmith
Erscheinungsdatum: 11.05.2017
Gewicht: 0,511 kg
preigu-id: 109103576
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