An infinitesimal interval in 4-dimensions can be defined as ds? = c2 dt? – dx? - dy? - dz? From this follows the 4-dimensional momentum-squared of a particle of mass m: p2 = m? ds? /dt? (1) Determine P² for a particle at rest (call it Prest) (2) What is the direction of Prest? (3) Determine the rest energy Erest Corresponding to Prest.
An infinitesimal interval in 4-dimensions can be defined as ds? = c2 dt? – dx? - dy? - dz? From this follows the 4-dimensional momentum-squared of a particle of mass m: p2 = m? ds? /dt? (1) Determine P² for a particle at rest (call it Prest) (2) What is the direction of Prest? (3) Determine the rest energy Erest Corresponding to Prest.
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Transcribed Image Text:An infinitesimal interval in 4-dimensions can be defined as
ds2 = c2 dt? – dx? - dy? - dz?
From this follows the 4-dimensional momentum-squared of a particle of mass m:
P2 = m² ds? /dt?
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(1) Determine P2 for a particle at rest (call it Prest)
(2) What is the direction of Prest?
(3) Determine the rest energy Erest Corresponding to Prest.
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