For the transformation x → X = \(\frac{α p}{x},\) p → P = βx2 between conjugate pairs of a coordinate and its momentum, to be canonical, the constants α and β must satisfy
1
\(1+\frac{1}{2} \alpha \beta=0\)
2
\(1-\frac{1}{2} \alpha \beta=0\)
3
1 + 2αβ = 0
4
1 - 2αβ = 0