(2) For arbitrary function f(q, p,1), show that a d dq; dt - dô dt aH | 5 (9, p. 1) = {1, 841}}
(2) For arbitrary function f(q, p,1), show that a d dq; dt - dô dt aH | 5 (9, p. 1) = {1, 841}}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please Do part 2)

Transcribed Image Text:4 Consider a Hamiltonian system with N degrees of freedom given by H(q, p, t). Poisson brackets are given by
₁0pipi qi
(მf მg მf მg'
(f. 8) =
N
i=1
Answer the following questions.
(1) Show that {f, g) is a conserved quantity if f and g are conserved quantities.
(2) For arbitrary function f(q, p. 1), show that
d da
(4-2) 19.p.)-(1.4)
=
=
dt
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