Recent content by Metallichem

I get this, this is the general expresion of Hamiltonian Operator for the Quantum Harmonic Oscillator ?? [-ħ/2m (d^2 Ψ_x)/(dx^2 )+1/2 k_x x^2 Ψ_x ]+[-ħ/2m (d^2 Ψ_y)/(dy^2 )+1/2 k_y y^2 Ψ_y ]= EΨ_x Ψ_y

I can represent the Hamiltonian as a sum of operators like this? \hat{H} = \hat{H_x} + \hat{H_y}

Problem: Consider a harmonic oscillator of mass m undergoing harmonic motion in two dimensions x and y. The potential energy is given by V(x,y) = (1/2)kxx2 + (1/2)kyy2. (a) Write down the expression for the Hamiltonian operator for such a system. (b) What is the general expression for...