Physics · Quantum Mechanics
Consider a quantum particle incident from the left on a step potential V(x) = V0θ(x), with energy E > V0, where θ(x) is the unit step function. The scattering state of the particle is given by ψ(x) = exp(ipxℏ) + r exp(-ipxℏ) for x 0, where p and p' are the momenta corresponding to energy E in the respective regions. Which of the following relationships is true?
- 1|r|2 + p'p|t|2 = 1✓
- 2|r|2 + |t|2 = 1
- 3|r|2 + pp'|t|2 = 1
- 4r + t = 1
Correct answer
|r|2 + p'p|t|2 = 1
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