Potential step - (6.9) Even though we have given up...

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Potential step Consider a potential step (6.3) Figure 6.1: The step potential discussed in the text Let me define (6.4) (6.5) I assume a beam of particles comes in from the left, (6.6) At the potential step the particles either get reflected back to region I, or are transmitted to region II. There can thus only be a wave moving to the right in region II, but in region I we have both the incoming and a reflected wave, (6.7) (6.8) We define a transmission and reflection coefficient as the ratio of currents between reflected or transmitted wave and the incoming wave, where we have canceled a common factor
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Unformatted text preview: (6.9) Even though we have given up normalisability, we still have the two continuity conditions. At these imply, using continuity of and , (6.10) (6.11) We thus find (6.12) (6.13) and the reflection and transmission coefficients can thus be expressed as (6.14) (6.15) Notice that ! Figure 6.2: The transmission and reflection coefficients for a square barrier. In Fig. 6.2 we have plotted the behaviour of the transmission and reflection of a beam of Hydrogen atoms impinging on a barrier of height 2 meV....
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This note was uploaded on 11/09/2011 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.

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Potential step - (6.9) Even though we have given up...

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