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Improper Lorentz Transformations
Physical Review, 1958The irreducible representations of the extended Lorentz group, including the space- and time-like reflections, are discussed. It is shown that there exist certain representations (up to the sign) which can be used to describe a particle with two states of opposite parity.
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1991
Um Ort und Zeit eines Ereignisses in bezug auf ein Inertialsystem festzulegen, denken wir uns das Inertialsystem mit einer Vielzahl von Masstaben und Uhren uberzogen, wie Bild 7.1 zeigt. Findet ein Ereignis statt, so konnen wir an den Masstaben den Ort ablesen und an der an diesem Ort befindlichen Uhr auch die Zeit des Ereignisses bestimmen.
Herbert Kurt Schmidt, Roman U. Sexl
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Um Ort und Zeit eines Ereignisses in bezug auf ein Inertialsystem festzulegen, denken wir uns das Inertialsystem mit einer Vielzahl von Masstaben und Uhren uberzogen, wie Bild 7.1 zeigt. Findet ein Ereignis statt, so konnen wir an den Masstaben den Ort ablesen und an der an diesem Ort befindlichen Uhr auch die Zeit des Ereignisses bestimmen.
Herbert Kurt Schmidt, Roman U. Sexl
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Finslerian extension of Lorentz transformations
Reports on Mathematical Physics, 1998In this paper a two-dimensional Finslerian metric is studied. This metric is left invariant under the action of a deformed \(\text{SO}(1,1)\) Lorentz group. Namely, starting with the well-known 2-dimensional Lorentz transformation, defined in terms of the Minkowski angle \(\beta=\text{arcth }v\) (with \(c=1\) and \(v\) being velocity) one obtains the ...
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The Covariant Lorentz Transformation
2009It can hardly be emphasized that one of the most important elements of Special Relativity is the Lorentz transformation. This is the reason why we have spent so much space and effort to derive and study the Lorentz transformation in the early chapters of the book.
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2017
Chapter 3 is the heart of the book, in that it derives the spacetime distance and Lorentz transformation. The chapter starts with the derivation of the familiar three-dimensional Euclidean distance in terms of coordinates of points, which happens to be unfamiliar to “flatlanders” who live in a two-dimensional world in which “height” is not physically ...
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Chapter 3 is the heart of the book, in that it derives the spacetime distance and Lorentz transformation. The chapter starts with the derivation of the familiar three-dimensional Euclidean distance in terms of coordinates of points, which happens to be unfamiliar to “flatlanders” who live in a two-dimensional world in which “height” is not physically ...
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Rotations and Lorentz Transformations
2000Describe a coordinate (not point) rotation about the third axis of a Cartesian coordinate system by If for positive angles the rotation is clockwise when looking along the axis of rotation towards plus infinity, the coordinate system is right handed.
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On Characterizing Lorentz Transformations
1978The causal automorphisms (≤- automorphisms) of ℝn, n > 2, are known to be orthochronous Lorentz transformations up to scale factors. The result fails in case n = 2. Bijective mappings that map light cones onto light cones are also known to be Lorentz transformations (up to scale factors) in case n > 2. This result fails as well for n = 2.
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