Quantum Mechanics Calculator
Analyze quantum systems using the particle-in-a-box model. This calculator computes energy levels, wave functions, and expectation values to help understand quantum behavior, probability distributions, and confined particle dynamics in both SI and atomic units.
Formulas Used
- Energy Levels: Eₙ = (n²π²ℏ²) / (2mL²)
- Wave Function: ψ(x) = √(2/L) sin(nπx/L)
- Probability Density: |ψ(x)|²
- Expectation Value (Position): ⟨x⟩ = L / 2
- Expectation Value (Momentum): ⟨p⟩ = 0
Use Cases
- - Quantum mechanics learning and visualization
- - Particle-in-a-box system analysis
- - Understanding probability distributions
- - Physics assignments and lab problems
- - Energy quantization and wave behavior studies