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(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
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)

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
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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