A Guide to Physics Problems. Part 2. Thermodynamics, Statistical Physics, and Quantum Mechanics

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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