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Engineering Physics · Q27

Classical Mechanics

Engineering and GATE · Engineering Physics · question 27

Q27

For a simple harmonic oscillator, the Lagrangian is L = 1/2 q^2 - 1/2q^2,\, if A ( p,\,q ) = p + iq2 and H(p, q) is the Hamiltonian of the system, the Poisson bracket, A(p, q), H(p, q) is given by

For a simple harmonic oscillator, the Lagrangian is       and H(p, q) is the Hamiltonian of the system, the Poisson bracket, {A(p, q), H(p, q)} is given by
A.
iA (p, q)
Answer
B.
A (p, q)
C.
-iA (p, q)
D.
-iA (p, q)

Answer: Option A

Solution

Answer: Option A
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