a) Explain why the energies of bound particles are quantized?-b) Explain how the 1s orbital is orthogonal to both the 2s orbital and 2p, orbital using a sketch. Explain how you can show orthogonality between the 1s orbital and 2p, orbital without calculating the integral.- The energy levels of a 1-D infinite box, harmonic potential and Coulomb potential scale as n?, n and1/n, respectively. Rationalize this in terms of satisfying the boundary conditions of each system.-d) Explain how superpositions can be illustrated as vector sums of unit vectors where unit vectors are eigenstates. Note that you have an infinite dimensional function space for making these superpositions.

Modern Physics(Physics)

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