Consider a potential energy function as shown here.

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Presentation transcript:

Consider a potential energy function as shown here. What does this potential energy function imply? (A) There is a physical wall at x=-a/2 and another one at x=+a/2. (B) A particle can move freely between x = -a/2 and x= +a/2 without any force acting on it. At x = ±a/2, a force will act on a particle, pushing it into region II A, B and C (E) B and C

Consider a potential energy function as shown here. What does this potential energy function imply? (A) There is a physical wall at x=-a/2 and another one at x=+a/2. (B) A particle can move freely between x = -a/2 and x= +a/2 without any force acting on it. At x = ±a/2, a force will act on a particle, pushing it into region II A, B and C (E) B and C

Consider a potential energy function with a step Consider a potential energy function with a step. A quantum particle with E>V0 is moving across the step as shown. What will happen? (A) The particle has a higher energy than the step, so it will pass on into region I. (B) The particle is reflected at the step. It never enters region I, but moves in the positive x-direction. (C) The particle’s wave function is partially reflected at the step. A part will continue on into region I, a second part is reflected and moves in the positive x-direction. (D) The particle’s wave function enters region I, but its wave function decays exponentially there. The bulk of the wave function moves into positive x-direction. V0

Consider a potential energy function with a step Consider a potential energy function with a step. A quantum particle with E>V0 is moving across the step as shown. What will happen? (A) The particle has a higher energy than the step, so it will pass on into region I. (B) The particle is reflected at the step. It never enters region I, but moves in the positive x-direction. (C) The particle’s wave function is partially reflected at the step. A part will continue on into region I, a second part is reflected and moves in the positive x-direction. (D) The particle’s wave function enters region I, but its wave function decays exponentially there. The bulk of the wave function moves into positive x-direction. V0

Consider a potential energy function with a step Consider a potential energy function with a step. A quantum particle with E>V0 is moving across the step as shown. What will happen? (A) The particle has a higher energy than the step, so it will pass on into region II. (B) The particle is reflected at the step. It never enters region II, but moves in the negative x-direction. (C) The particle’s wave function is partially reflected at the step. A part will continue on into region II, a second part is reflected and moves in the negative x-direction. (D) The particle’s wave function enters region II, but its wave function decays exponentially there. The bulk of the wave function moves into negative x-direction. V0

Consider a potential energy function with a step Consider a potential energy function with a step. A quantum particle with E>V0 is moving across the step as shown. What will happen? (A) The particle has a higher energy than the step, so it will pass on into region II. (B) The particle is reflected at the step. It never enters region II, but moves in the negative x-direction. (C) The particle’s wave function is partially reflected at the step. A part will continue on into region II, a second part is reflected and moves in the negative x-direction. (D) The particle’s wave function enters region II, but its wave function decays exponentially there. The bulk of the wave function moves into negative x-direction. V0