Thermodynamics, Statistical Physics, and Quantum Mechanics

(Axel Boer) #1
QUANTUM MECHANICS 305

5.52 Decay of Tritium (Michigan State)


We use the sudden approximation to calculate the probability that the
electronremains in the ground state. One calculates the overlapintegral
of the initial and final wave functions, and its square is the probability.
The ground states in the initial and final states are called and
is the Bohr radius:


WKB


5.53 Bouncing Ball (Moscow Phys-Tech, Chicago)


The potential energy here is We can apply the quasi-classical
(WKB) approximation between points where with the
quasi-classical function applicable all the way to The wave function
is given by


On the other hand, for

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