Write down the time-independent schrödinger equation of a particle with mass m confined in a central potential -1/r. use spherical coordinates.

2. write down the time-independent schrödinger equation of two particles with masses m_1 and m_2 that are attracted to each other by potential -1/r_12 , where r_12 is the particle-particle distance, namely, r_12 = sqrt((x_1 - x_2)^2+(y_1 - y_2)^2+(z_1 - z_2)^2) , where particle 1’s coordinates are (x_1, y_1, z_1) and particle 2’s coordinates are (x_2, y_2, z_2).

the force required to move the cart is divided by three or 33.33 n.

answer; how far out of place which the object finished relative to the starting location;

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .