Thermodynamics, Statistical Physics, and Quantum Mechanics

(Axel Boer) #1
73

5.58 Ramp Phase Shift (Tennessee)


Use WKB to calculate the phase shift in one dimension of aparticle of mass
confined by theramppotential

5.59 Parabolic Phase Shift (Tennessee)


Use WKB to calculate the phaseshift in onedimension of a particle ofmass
confined by the parabolicpotential

5.60 Phase Shift for Inverse Quadratic (Tennessee)


A particle ofmass moves in onedimension in the right half-space
with the potential

where thedimensionless constant determines thestrength of thepotential.
Use WKB to calculate the phaseshift as afunction ofenergy.

Scattering Theory


5.61 Step-Down Potential (Michigan State, MIT)


A particle ofmass obeys a Schrödinger equationwith apotential


Since thepotential is higher on the left of zerothan on theright.
Find thereflection coefficient for aparticle coming in from the left
with momentum (seeFigureP.5.61).

QUANTUM MECHANICS
Free download pdf