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Compound Lorentz transformations

References: Griffiths, David J. (2007), Introduction to Electrodynamics, 3rd Edition; Pearson Education – Chapter 12, Post 18. The Lorentz transformations can be written in matrix form as where the 0...

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Rapidity

References: Griffiths, David J. (2007), Introduction to Electrodynamics, 3rd Edition; Pearson Education – Chapter 12, Post 19. An alternative way of writing the Lorentz transformations is to define a...

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Lorentz transformations: derivation from symmetry

Reference: Carroll, Bradley W. & Ostlie, Dale A. (2007), An Introduction to Modern Astrophysics, 2nd Edition; Pearson Education – Chapter 4, Problem 4.1. Although we’ve already looked at special...

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Lorentz transformations and causality

Reference: Carroll, Bradley W. & Ostlie, Dale A. (2007), An Introduction to Modern Astrophysics, 2nd Edition; Pearson Education – Chapter 4, Problem 4.2. To determine whether two observers can...

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Another trip to Alpha Centauri: more Lorentz transformation examples

Reference: Carroll, Bradley W. & Ostlie, Dale A. (2007), An Introduction to Modern Astrophysics, 2nd Edition; Pearson Education – Chapter 4, Problems 4.6-4.7. We’re now on another trip to Centauri...

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Lorentz transformation for infinitesimal relative velocity

References: Amitabha Lahiri & P. B. Pal, A First Book of Quantum Field Theory, Second Edition (Alpha Science International, 2004) – Chapter 1, Problems 1.5 – 1.6. In special relativity, Lahiri...

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Lorentz invariance in Klein-Gordon momentum states

Michael E. Peskin & Daniel V. Schroeder, An Introduction to Quantum Field Theory, (Perseus Books, 1995) – Chapter 2. The vacuum state in Klein-Gordon field theory is a postulated state which gives...

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Lorentz transformations as rotations

References: W. Greiner & J. Reinhardt, Field Quantization, Springer-Verlag (1996), Chapter 2, Section 2.4. Arthur Jaffe, Lorentz transformations, rotations and boosts, online notes available (at...

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Lorentz transformations and the special linear group SL(2,C)

References: W. Greiner & J. Reinhardt, Field Quantization, Springer-Verlag (1996), Chapter 2, Section 2.4. Arthur Jaffe, Lorentz transformations, rotations and boosts, online notes available (at...

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Lorentz transformation as product of a pure boost and pure rotation

References: W. Greiner & J. Reinhardt, Field Quantization, Springer-Verlag (1996), Chapter 2, Section 2.4. Arthur Jaffe, Lorentz transformations, rotations and boosts, online notes available (at...

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