On the relation between Hamilton's principle and of the least action principle in the relativistic dynamics of a particle (Q1197542)
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scientific article; zbMATH DE number 91672
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relation between Hamilton's principle and of the least action principle in the relativistic dynamics of a particle |
scientific article; zbMATH DE number 91672 |
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On the relation between Hamilton's principle and of the least action principle in the relativistic dynamics of a particle (English)
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16 January 1993
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The author has shown that within the relativistic dynamics of a particle the Hamilton action yields the mechanical contribution of the action which is assumed in the space-time manifold by means of the least action principle. After the introduction of the four-potential and the skew- symmetric double tensor describing the field, it has been determined a new four-dimensional differential equation of motion for a particle, involving the aforementioned four-dimensional quantities.
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space-time manifold
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four-potential
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skew-symmetric double tensor
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four- dimensional differential equation of motion
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