Control & ModelingDiscipline: Quantum Physics & Advanced Materials (PHY1001)
1D Quantum Well & Wavefunction Simulator
Interactive 1D infinite potential well solver computing discrete energy eigenvalues En, stationary wavefunctions ψn(x), and spatial probability densities |ψn(x)|² across semiconductor heterostructures.
Instrument State:Live Analytical DSP Engine
Quantum Mechanics Laboratory
1D Infinite Potential Well (Particle in a Box)
Visualize stationary Schrödinger wavefunctions, probability density, and discrete energy eigenvalue quantization.
Engineering Presets:
Well Width (L):1.00 nm (10.0 Å)
0.10 nm (Atomic)5.0 nm10.0 nm (Mesoscopic)
Quantum State (n):n = 1 (Ground State)
n = 1n = 2n = 3n = 4n = 5n = 6
Eigenvalue E_1n² · E₁ Quantization
0.376 eV
6.0247e-20 Joules
Ground state E₁:0.376 eV
Internal Nodes: 0de Broglie λ: 2.00 nmBoundary Condition: ψ(0) = ψ(L) = 0
Quantized Spectrum (n=1..6)
n = 10.38 eV
n = 21.50 eV
n = 33.38 eV
n = 46.02 eV
n = 59.40 eV
n = 613.54 eV
Next Transition (n → n+1)
ΔE Jump:1.13 eV
Photon Wavelength:1099.1 nm
EM Spectrum:Infrared
Governs light emission in semiconductor quantum-well lasers and optical fiber telecom transmitters.
Technical Instrument Specifications
Governing Law-ħ²/(2m) d²ψ/dx² = Eψ
Energy LevelsEn = n²h² / (8mL²)
Boundary Stateψ(0) = ψ(L) = 0
TransitionsΔE = E_(n+1) - E_n (λ = hc/ΔE)
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