Show that a covariant definition of the energy (valid in any reference frame) is E = -P#Uµ. (This involves an inner product between four-vectors, an invariant quantity. Is there a partic- ular reference frame that simplifies the expression?) dra dra = y (c, u) dt Uª dī

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Show that a covariant definition of the energy (valid in any reference frame) is E = –PUu.
(This involves an inner product between four-vectors, an invariant quantity. Is there a partic-
ular reference frame that simplifies the expression?)
dra
dra
= y (c, u)
dt
Ua
dt
Transcribed Image Text:Show that a covariant definition of the energy (valid in any reference frame) is E = –PUu. (This involves an inner product between four-vectors, an invariant quantity. Is there a partic- ular reference frame that simplifies the expression?) dra dra = y (c, u) dt Ua dt
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