Angular momentum operator show that the laplace operator in spherical coordinates can be written as 1 a 2 т2 дr дт here, we have defined l = -irx v and 1 1 sin in2 & dp2 д9 sin & a hint: go from the equation -2-(fx2 l gimiдm cijk#jk lm jk t22a72 next, look and use the identity im jðkm-djmdki to obtain (7xv)2 up the gradient in spherical coordinates, rewrite the operator( x v)2 in spherical coordinates and obtain the desired relation between the laplace operator v2 and l2. note: lis the operator of angular momentum and l2 is the operator of the square of the angular momentum that plays an important role in understanding the properties of particles in quantum mechanics