Step potential (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Step potential" in English language version.

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deepdyve.com (Global: low place; English: low place)

The transmission coefficient is defined as the ratio of the transmitted probability current to the incoming probability current. However, the quantities directly involved in this potential step problem are called scattering amplitudes $S_{ij}$ . They are related to the transmission and reflection coefficients here. We can see in this YouTube video that the most general expression for $A_{\leftarrow }$ is $r={\sqrt {R}}$ , and for $B_{\rightarrow }$ we have the ratio of k-vectors and possibly different masses on their respective sides: ${\textstyle t{\sqrt {m_{2}k_{1}/m_{1}k_{2}}}={\sqrt {Tm_{2}k_{1}/m_{1}k_{2}}}}$ . The masses come from the definition of the probability current and the k-vectors from the derivatives of the wavefunctions.