Step Potential Part I (E more than V) | Reflection & Transmission Probability (Derivation)
When a quantum particle with energy 𝐸 greater than a potential step V encounters the potential, it partially reflects and transmits. The particle behaves like a wave.
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• Quantum Mechanics
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When a quantum particle with energy E encounters a step potential where 𝐸 is more than 𝑉, it partially reflects and partially transmits at the boundary. In the region before the step, the particle behaves like a free wave with both incident and reflected components. After crossing the step, the particle transmits as a wave with reduced momentum.
Key effects include partial reflection and transmission, highlighting the wave-like behavior of particles, even when classically, the particle would continue unimpeded.
00:00 Introduction
03:44 Solve Schrodinger's Equation
14:14 Boundary Conditions
20:55 Probability Current Densities
33:42 Reflection Probability
37:08 Transmission Probability
40:37 Result Analysis
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