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تسجيل

Ramp Potential

المؤلف:  Sidney B. Cahn, Gerald D. Mahan And Boris E. Nadgorny

المصدر:  A GUIDE TO PHYSICS PROBLEMS

الجزء والصفحة:  part 2 , p 72

19-8-2016

2140

Ramp Potential

Use WKB in one dimension to find the eigenvalues of a particle of mass m in the potential V(x) = F|x|, where F > 0.

SOLUTION

In the present problem, V(x) = F|x| and C = E/F, so

(1)

(2)

Since the integral is symmetric, we can write it as

(3)

Remembering that C = E/F, we obtain the final result:

(4)