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For particles with energy -Vo<<0, that are incident on the potential step from the left, do the following: a) Solve the one-dimensional time-independent Schödinger equation in the regions (i) x < 0 and (ii) > 0, and explain the conditions that your solutions must satisfy at x = 0.

For particles with energy -Vo<<0, that are incident on the potential step from the left, do the following: a) Solve the one-dimensional time-independent Schödinger equation in the regions (i) x < 0 and (ii) > 0, and explain the conditions that your solutions must satisfy at x = 0.

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[QUANTUM MECHANICS - FINITE POTENTIAL BARRIER]

Consider the finite potential barrier illustrated in Figure 1, with V(x) = -V in the region x < 0 and V(x) = 0 in the region x > 0. -Vo<E<0 V(x) 0 X -Vo Figure 1: A finite potential step, with particles incident from the left. For particles with energy - Vo < < 0, that are incident on the potential step from the left, do the following: a) Solve the one-dimensional time-independent Schödinger equation in the regions (i) x < 0 and (ii) x > 0, and explain the conditions that your solutions must satisfy at x = 0.
Transcribed Image Text:Consider the finite potential barrier illustrated in Figure 1, with V(x) = -V in the region x < 0 and V(x) = 0 in the region x > 0. -Vo<E<0 V(x) 0 X -Vo Figure 1: A finite potential step, with particles incident from the left. For particles with energy - Vo < < 0, that are incident on the potential step from the left, do the following: a) Solve the one-dimensional time-independent Schödinger equation in the regions (i) x < 0 and (ii) x > 0, and explain the conditions that your solutions must satisfy at x = 0.
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