1D infinite well: E_n = π²ℏ²n²/(2mL²)

Layer 1 — Physicsin the nanophysics subtree

Quantum confinement in a 1D infinite square-well potential of width L: Schrödinger equation −(ℏ²/2m)·d²ψ/dx² = Eψ with boundary conditions ψ(0) = ψ(L) = 0 yields stationary eigenstates ψ_n(x) = √(2/L)·sin(nπx/L) and eigenenergies E_n =…

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