Скачать или смотреть Griffiths QM Problem 7.11 | Delta Function in Infinite Cubic Well

This video explores Problem 7.11 from Griffiths' Introduction to Quantum Mechanics, focusing on first-order perturbation theory applied to an infinite cubic potential well with a delta-function bump.

The perturbation is expressed as:

𝐻′ = 𝑎³𝑉₀ δ(𝑥−𝑎/4)δ(𝑦−𝑎/2)δ(𝑧−3𝑎/4)

We calculate the first-order energy corrections for both the ground state and the triply-degenerate first excited states.

📘 Topics Covered:

Applying first-order perturbation theory in three dimensions
Handling delta-function potentials as perturbations
Effects of degeneracy on energy corrections
Impact of the delta bump's position on correction magnitude

💡 Key Concepts:

Infinite 3D potential well eigenfunctions
Degenerate perturbation theory
Dirac delta potentials
Matrix representation of degenerate states

Ideal for students studying quantum mechanics, perturbation theory, or preparing Griffiths problem sets.