منابع مشابه
Lorentz Transformations
In these notes we study Lorentz transformations and focus on the group of proper, orthochronous Lorentz transformations, donated by L+. (These Lorentz transformations have determinant one and preserve the direction of time.) The 2×2 matrices with determinant one, denoted SL(2, C), play a key role, as there is a map from SL(2,C) onto L+, that is 2-to-1 and a homomorphism. In this correspondence,...
متن کاملLorentz Transformations from Intrinsic Symmetries
We reveal the frame-exchange space-inversion (FESI) symmetry and the frame-exchange time-inversion (FETI) symmetry in the Lorentz transformation and propose a symmetry principle stating that the space-time transformation between two inertial frames is invariant under the FESI or the FETI transformation. In combination with the principle of relativity and the presumed nature of Euclidean space a...
متن کاملLorentz Transformations and Statistical Mechanics
In [Gottlieb (1998)] and [Gottlieb (2000)] we launched a study of Lorentz transformations. We find that every Lorentz transformation can be expressed as an exponential e where F is a skew symmetric operator with respect to the Minkowski metric 〈 , 〉 of form −+++. We provided F with the notation of electromagnetism. Thus we can describe boosts as pure ~ E fields and rotations as pure ~ B fields....
متن کاملLorentz transformations as Lie - Poisson symmetries
We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson-Lie group. In so doing we obtain the classical limit of a particle moving on a noncommutative space possessing SL q (2, C) invariance. We show that if the standard mass shell constraint is chosen for the Hamiltonian function, then the particle interacts with...
متن کاملDeduction of Lorentz Transformations from Classical Thermodynamics
The Lorentz transformations are obtained by assuming that the laws of classical thermodynamics are invariant under changes of inertial reference frames. As Maxwell equations are used in order to deduce a wave equation that shows the constancy of the speed of light, by means of the laws of classical thermodynamics, the invariance of the Carnot cycle is deduced under reference frame changes. Star...
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ژورنال
عنوان ژورنال: Australian Journal of Physics
سال: 1959
ISSN: 0004-9506
DOI: 10.1071/ph590300