Sub: Physics Topic: QuantumMechanics
Question:
Prove that the reflection coefficient R for this case is as follows, where k1 = 2 / 1 and k2 =
2 / 2 are the angular wave numbers for the incident and transmitted particles.
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Proceed as follows: Show that the wave function 1 = A cos k1x + B cos ( -k1x) satisfies the
Schrodinger equation in region 1, where x < 0. Here A cos k1x represents the incident beam, and
B cos (-k1x) represents the reflected particles. Show that 2 = C cos k2x satisfies the Schrodinger
equation in region 2, for x > 0. Impose the boundary conditions 1 = 2 and d 1/dx = d 2/dx at x
= 0, to find the relationship between B and A. Then evaluate R = B2/A2.
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Sub: Physics Topic: QuantumMechanics
Solution:
(b) A particle that has kinetic energy E = 6.00 eV is incident from a region where the potential energy is
zero onto one in which U = 4.50 eV.
Find its probability of being reflected.
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Sub: Physics Topic: QuantumMechanics
Solution:
Its probability of being transmitted.
** End of the Solution **
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