Thermodynamics, Statistical Physics, and Quantum Mechanics

53

is

Find the eigenvalue andeigenfunction ofthe boundstate.

If the system is in thebound state and the strength of thepotential is

changed suddenly what is theprobability that the particle

remains bound?

a)

b)

5.4 Attractive Delta Function Potential II (Stony

Brook)

A particle ofmass isconfined to the righthalf-space, inone dimension,
by an infinitepotential at the origin. There isalso an attractive delta
functionpotential where (seeFigureP.5.4).

Find theexpression for theenergy of theboundstate.

What is the minimum value of required for aboundstate?

a)

b)

QUANTUM MECHANICS