In: Physics
A quasiparticle of mass m is trapped by an extended crystal defect, which has a shape of a narrow, straight tube of length l. The quasiparticle hence is confined to move within this defect. Consider that the tube of this defect is sealed at both ends with potential V = 0 inside the tube. Treat the defect as a 1D infinite square well. Assume that this tube defect is placed at an angle Θ relative to the surface of the earth. The quasiparticle experiences the usual gravitational potential V = mgh. Calculate the lowest order change in the energy of the ground state due to the gravitational potential.
As in the quetion given that we can treat the problem as particle i n a 1D box with perturbation for gravitatiobnal potenial.