Physics
Physics, 02.09.2019 15:30, JPU

Calculate the reflection and transmission coefficients for e> 1, with 2 different masses m1 and m2 in the two regions.

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Physics, 17.07.2019 18:20, RoyALP
[60 pts] a particle with energy e and mass m moves in one dimension along the x-axis in the positive direction. at x = 0, there is a very 2 narrow potential wall like v(x)=4_78(x) where d(x) is the dirac delta function. (a) [20 pts] for the case g > 0, write down the schroedinger equation and calculate the wave function for the scattered state (e> 0). (b) [20 pts] for the case g > 0, calculate the reflection and transmission coefficients for the calculated scattered state. (c) (20 pts] for the case g < 0, calculate the energy for the bound state (e< 0).
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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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