Question Bank NAT • 2 Marks Section 2: Classical Mechanics Classical Mechanics - Module 4

QB_PH_042: Classical Mechanics - Module 4

Question Statement

The transformation $Q = \sqrt{2q} e^a \cos(p)$, $P = \sqrt{2q} e^{-a} \sin(p)$ is canonical for what value of $a$?
Correct Answer
0, 0
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Poisson bracket $\{Q, P\} = \cos^2 p + \sin^2 p = 1$ identically for $a = 0$.
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