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Prove the following identities (A) {FG,H}=F{G,H}+{F,H}G (B) dtd{F,G}={dtdF,G}+{F,dtdG} where F=F(q,p,t),G=G(q,p,t) and H=H(q,p,t) are in general functions of phase space variables q={q1,q1,,qN} and p={p1,p1,,pN}, and time
Prove the following identities (A) {FG,H}=F{G,H}+{F,H}G (B) dtd{F,G}={dtdF,G}+{F,dtdG} where F=F(q,p,t),G=G(q,p,t) and H=H(q,p,t) are in general functions of phase space variables q={q1,q1,,qN} and p={p1,p1,,pN}, and time t
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Introductory Classical Mechanics
Authors: David Morin
1st edition
9780511808951, 521876222, 978-0521876223
