Qm Assignment

Assignment: Quantum Mechanics Date of Assignment: 23.03.09.

Due Date: 31.03.09.

______________________________________________________________________________ For Roll No. 1 -12 1. Illustrate how liner optical process, refractive index, can be deduced quantum mechanically by using first order perturbation theory. 2. Use Green’s functions method to solve (d2y/ dx2)+ y = cosec x subject to boundary conditions y(0)=y(π/2)=0. 3. Using Molecular-Orbital theory explain why a stable diatomic Helium (He2) molecule does not exists. 4. Discuss the motion of Dirac spin ½ particle (electron) in electromagnetic field. _____________________________________________________________________________ For Roll No. 13-24 1. Calculate the spontaneous emission lifetime of an electron in a one-dimensional rectangular potential with infinite barrier energy. Explain how this treatment can be useful for the development of semiconductor laser. 2. Use Green’s function method to solve (d2y/ dx2)+ y = f(x) subject to boundary conditions y(0)=y1(0)=0. 3. By using Molecular-Orbital theory explain why Oxygen molecules (O2) paramagnetic. 4. Discuss the motion of Dirac spin ½ particle (electron) in electromagnetic field.

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