Скачать или смотреть Lecture 21 | WKB Method: Connection Formula without Rigid Walls | Part (B)

In this lecture, I derive the connection formula for the potential without rigid walls in the context of the WKB approximation. By using the Airy function to handle the turning point behavior, I match the WKB solutions on either side to extract the crucial phase factor, which turns out to be π/4.

🧠 Topics covered:

Airy function solutions near turning points

Matching asymptotic behavior of WKB and Airy functions

Derivation of the connection formula

Explanation of the origin of the π/4 phase shift

This is a key result in semi-classical quantum mechanics and helps understand tunneling, bound states, and quantization conditions more deeply.

📌 Make sure to watch the previous lectures if you're new to the WKB method!

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