Question:
If \( F_1(Q, q) = Qq \) is the generating function of a canonical transformation from \((p, q)\) to \((P, Q)\), then which one of the following relations is correct?
If \( F_1(Q, q) = Qq \) is the generating function of a canonical transformation from \((p, q)\) to \((P, Q)\), then which one of the following relations is correct?
Updated On: Feb 8, 2025
- \( \frac{p}{P} = \frac{Q}{q} \)
- \( \frac{P}{p} = \frac{Q}{q} \)
- \( \frac{p}{P} = -\frac{Q}{q} \)
- \( \frac{P}{p} = -\frac{Q}{q} \)
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The Correct Option is C
Solution and Explanation
The correct option is (C) :\( \frac{p}{P} = -\frac{Q}{q} \)
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