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Quantum Mechanics: Physical Problems in one-dimension

Lecture 29: QM6.5: Finite Square Well E ≤ V₀ - Anti/symmetric solutions

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Lecture Details :

The Finite Square Well Potential, case: E ≤ V₀
Solving the Schrödinger equation inside the well is a little different. Recall the theorem that bound states of a particle in a symmetric potential have definite parity: they are either even or odd functions.

V(-x) = V(x) ⇒ Ψ(-x) = ±Ψ(x)

We use this theorem to progress in the problem.

For an in-depth study, check out www.gaussianmath.com

Course Description :

Our focus now is on solving physical one-dimensional problems - infinite square well potential, potential barrier, harmonic oscillator, and the most common phenomena of tunneling.

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