Thermodynamics, Statistical Physics, and Quantum Mechanics

54 PROBLEMS

5.5 Two Delta Function Potentials (Rutgers)

A particle ofmass moves in aone-dimensionalpotential of theform

where P is a positive dimensionless constant and has units of length.

Discuss the bound states of this potential as a function of P.

5.6 Transmission Through a Delta Function Potential

(Michigan State, MIT, Princeton)

A particle of mass moves in one dimension where the only potential

is at the origin with A free particle of wave vector

approaches the origin from the left. Derive an expression for the amplitude

T of the transmitted wave as a function of C, and

5.7 Delta Function in a Box (MIT)

A particle of mass is confined to a box, in one dimension, between
and the box has walls of infinite potential. An attractive delta