학술논문

Conservation of the Energy-Momentum.
Document Type
Article
Source
International Journal of Theoretical Physics. Oct2017, Vol. 56 Issue 10, p3213-3231. 19p.
Subject
*ENERGY momentum relationship
*RELATIVITY (Physics)
*THERMODYNAMICS
*RELATIVISTIC momentum
*FRAMES of reference (Relativity)
Language
ISSN
0020-7748
Abstract
In Relativity the sum of 4−vectors in different points does not generally represent a 4−vector. By using this result, it is shown by simple methods that the total energy-momentum of a system of point particles represents a well-defined 4−vector if the particles do not interact. It is proved that this is equivalent to the no-interaction theorem in Classical Physics. This theorem difficulties the study of a system of interacting particles since it is not even possible to define the total energy-momentum nor the reference frame where the system is at rest. This impediment is avoided by adding to the energy-momentum tensor the stress tensor describing the interaction. As an example, this is applied to a system of charged particles. In the process, the equation of motion for a charged particle including the self-force is formally obtained. However, when a thermodynamic system is analyzed from two different reference frames with a relativistic relative velocity, the interaction between the particles and the walls of the volume cannot be described by means of a covariant stress tensor and consequently the proposed technique is not feasible. Despite the above mentioned drawbacks, a covariant theory of the relativistic transformation laws of the thermodynamic quantities is developed. [ABSTRACT FROM AUTHOR]