Prove that the following transformations are canonical: (a) P = ¼½ (p² + q²) and Q = tan¯¹(q/p) 1 (b) P =q¹ and Q = pq²
Posted: Thu Jul 07, 2022 2:06 pm
- Prove That The Following Transformations Are Canonical A P P Q And Q Tan Q P 1 B P Q And Q Pq 1 (38.95 KiB) Viewed 40 times
Prove that the following transformations are canonical: (a) P = ¼½ (p² + q²) and Q = tan¯¹(q/p) 1 (b) P =q¹ and Q = pq² (c) 91 = Q1₁ cos X+P₂ sin λ, 92 = Q₂ cos X+P₁ sin λ, p1 for any constant X. = -Q₂ sin λ+P₁ cos λ, p2 = −Q₁ sin λ+P₂ cos X