Relativity and Cosmology

   

Newton’s Second Law and Relativistic Hamiltonian Part I: Theoretical

Authors: Yu. E. Zevatskiy

The relativistic kinematics and particle dynamics in the four-dimensional Euclidean space with real reference axes have been studied using the Lorentz transformations. Five types of relativistic Hamiltonians of particles moving in the field of potential forces are calculated, depending on the re-cording form of the Newton’s second law. The results obtained can be applicable to introduce relativistic corrections while solving a wide variety of problems in mechanics.

Comments: 8 Pages.

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Submission history

[v1] 2023-03-04 02:52:01

Unique-IP document downloads: 132 times

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