Physics · Classical Mechanics
In a one-dimensional Hamiltonian system with position q and momentum p, consider the canonical transformation (q, p) → (Q = 1/p, P = qp2), where Q and P are the new position and momentum, respectively. Which of the following choices represents a valid generating function F for this transformation?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1F = F4(p, P) = P/p
- 2F = F3(p, Q) = 2p/Q
- 3F = F2(q, P) = √(Pq)
- 4F = F1(q, Q) = q/Q✓
Correct answer
F = F1(q, Q) = q/Q
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