Ultrarelativistic limit

（重定向自Ultrarelativistic）

In physics, a particle is called ultrarelativistic when its speed is very close to the speed of light $c$ .

Max Planck showed that the expression for the relativistic energy of a particle with rest mass $m$ and momentum $p$ is given by

The energy of an ultrarelativistic particle is almost completely due to its momentum ( $pc ≫ mc$ ), and thus can be approximated by $E = pc$ . This can result from holding the mass fixed and increasing $p$ to very large values (the usual case); or by holding the energy $E$ fixed and shrinking the mass $m$ to negligible values. The latter is used to derive orbits of massless particles such as the photon from those of massive particles (cf. Kepler problem in general relativity).

单词	Ultrarelativistic
释义	Ultrarelativistic 英语百科 Ultrarelativistic limit （重定向自Ultrarelativistic） In physics, a particle is called ultrarelativistic when its speed is very close to the speed of light $c$ . Max Planck showed that the expression for the relativistic energy of a particle with rest mass $m$ and momentum $p$ is given by The energy of an ultrarelativistic particle is almost completely due to its momentum ( $pc ≫ mc$ ), and thus can be approximated by $E = pc$ . This can result from holding the mass fixed and increasing $p$ to very large values (the usual case); or by holding the energy $E$ fixed and shrinking the mass $m$ to negligible values. The latter is used to derive orbits of massless particles such as the photon from those of massive particles (cf. Kepler problem in general relativity).
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