Question

What is potential energy in quantum mechanics?
proof

Answer 1

We write the Schrödinger equation
h^2/2m ∆ψ+Uψ=ih ∂ψ/∂t
U (x, y, z, t) whose gradient function is associated with the minus sign and determines the force acting on the particle and the potential force field. In stationary conditions, when the motion of a particle does not depend on the time parameter, the power function U (x, y, z) becomes equal to the gradient of potential energy
U (х, y, z) = -PE (х, y, z)
As you know, Potential energy is a function of the coordinates (x, y, z,), which does not depend on the time, trajectory, or particle velocity.