Physics, 22.08.2019 00:30 jerz445

Consider the reflection and transmission of a left-incident current of particles at the potential 0 for x0 v (r) _ vo for x> 0 proceed along the following lines: (a) solve the stationary schrödinger equation separately in the two regions and 0 for an energy e > vo. 0 (b) sketch the potential and indicate with arrows which parts of the solutions you got in (a) to zero, so that the remaining three represent a right-moving incident wave and a left-moving reflected wave in the region x < 0, and a right-moving transmitted wave in the region x > 0. are left- moving and which are right-moving. set one of the coefficients (c) calculate the incident, reflected, and transmitted currents, and find expressions for the reflection probability r t jirans/jinc (watch out here! . t comes out differently than in the example we did in the lecture.) jrefi/in and the transmission probability (d) impose the continuity of o and ôø/dx at the boundary equations you get to calculate r and t. find rt (if you get anything other than 1 for the sum of reflection and transmission probabilities, check your calculation again and find the mistake you have made.) 0, and use the two (e) give r and t as functions of e. (only the ratio e/vo matters, and m and h should drop out.)

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Consider the reflection and transmission of a left-incident current of particles at the potential 0...

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