Parabolic Phase Shift
المؤلف:
Sidney B. Cahn, Gerald D. Mahan And Boris E. Nadgorny
المصدر:
A GUIDE TO PHYSICS PROBLEMS
الجزء والصفحة:
part 2 , p 73
19-8-2016
1593
Parabolic Phase Shift
Use WKB to calculate the phase shift in one dimension of a particle of mass m confined by the parabolic potential
(i)
SOLUTION
The potential V(x) in the present problem is zero for x > 0. The integral in this region cancels the term –kx. To the left of the origin, the turning point is 
(1)
The integral over dx again equals C2π/4. The phase shift is linear with energy and has a constant term.
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