1. The problem statement, all variables and given/known data Consider a particle with mass, m moving in one dimensional potential U=kx^2/2 as in a mass-spring system. The total energy of the particle is E= (p^2/2m) + (kx^2/2) Classically, the absolute minimum of the enrgy, E=0 is acheived when p=0 and x=0. In quantum mechanics however, the momentum, p and the co-ordinate x cannot simulataneously have certain valus. Using the heisenberg uncertainty relation: a)Calculate the minimum possible value of energy, E. This lowest possible energy, which is not zero, is called zero-point energy. b)What is the ratio of kinetic to the potential enrgy of the particle in a state of minimal total energy 2. Relevant equations Delta x delta p = hbar / 2 <---Hesinberg Uncertainty Principle 3. The attempt at a solution I'm completely lost, with all the remaining 4 questions of my work which i'm posting.