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(1) Justify whether T(x) = 380625 168 x'S (x-5)2 is a valid quantum mechanical wave-function for the 1D particle-in-a-box Hamiltonian with boundaries at x =
(1) Justify whether T(x) = 380625 168 x'S (x-5)2 is a valid quantum mechanical wave-function for the 1D particle-in-a-box Hamiltonian with boundaries at x = 0 and x =5. (2) Can classical physics describe the covalent bond in the molecule H2? Justify your answer. (3) A particle can exist on a 2-dimensional grid at two possible x locations (x1, x2) and two possible y locations (yl,y2). Write down a basis of kets and their corresponding numerical vectors capable of describing all mutually exclusive combinations of positions on the grid that the particle can be at
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