Quantum & Atomic Physics
Quantum Mechanics Simulators
A focused Quantum & Atomic Physics hub for quantum mechanics tools, keeping related formulas, assumptions, and engineering checks together.
12 simulators
Adjacent categories
Simulator list
Charged Particle Trap Simulator (Paul Trap) — Real-Time Visualization
Quantum Mechanics
Simulate charged particle dynamics in a Paul trap. Adjust voltage, frequency, and DC offset in real time and visualize trapping or escape.
Quantum Harmonic Oscillator Wave Function — Hermite Polynomials
Quantum Mechanics
Visualize the eigenfunctions ψ_n(x) and probability densities of the 1D quantum harmonic oscillator from quantum number, mass, angular frequency and ℏ, alongside energy …
Heisenberg Uncertainty Principle Simulator — dx dp Visualization
Quantum Mechanics
Change position uncertainty Δx to see how momentum uncertainty Δp responds — visualized as a Gaussian wave packet in real time. Intuitively grasp the fundamental princip…
Particle in a Box Simulator (Infinite Square Well)
Quantum Mechanics
Explore the quantum particle in a box model. Visualize wave functions, energy levels, and the time evolution of superposition states interactively.
Photon Energy & Quantum Efficiency Calculator
Quantum Mechanics
Calculate photon energy, flux, irradiance, and reaction rates instantly. Input wavelength, power, area, and quantum yield for fast photochemical computations.
Quantum Harmonic Oscillator Simulator — Wave Functions & Energy Levels
Quantum Mechanics
Visualize quantum harmonic oscillator wave functions, probability densities, and energy levels interactively for quantum numbers n=0 to 8.
Quantum Spin Simulator — Bloch Sphere & Larmor Precession
Quantum Mechanics
Visualize spin-1/2 quantum states on the Bloch sphere. Adjust magnetic fields to observe Larmor precession and Rabi oscillations in this interactive simulator.
Quantum Tunneling Simulator
Quantum Mechanics
Calculate quantum tunneling transmission coefficients using WKB approximation. Visualize how barrier height, width, and particle energy affect tunneling probability.
Quantum Well Energy Levels Calculator
Quantum Mechanics
Select semiconductor material and well type. Adjust well width and barrier height to compute energy levels, transition energies, and emission wavelengths.
Spin Precession Simulator — Larmor Precession and NMR/MRI Basics
Quantum Mechanics
Spin precession simulator: visualize Larmor precession in field B_0 with T_1/T_2 relaxation. Computes the 63.85 MHz proton Larmor frequency at 1.5T MRI in real time.
Wave-Particle Duality Simulator — de Broglie Wavelength & Double-Slit
Quantum Mechanics
Compute de Broglie wavelength λ = h/(mv) from mass and velocity, then visualize double-slit interference and electron-microscope resolution interactively.
WKB Approximation Simulator — Quantum Tunneling Probability
Quantum Mechanics
Experience how a particle quantum-mechanically tunnels through a potential barrier it could never cross classically. Adjust the particle energy, barrier height and width…
How to Use
- Select quantum system type (particle-in-a-box, hydrogen atom, tunneling, or harmonic oscillator) from the cat-filter dropdown
- Input physical parameters: particle mass (electron = 9.109e-31 kg), potential well width (0.1–10 nm), or barrier height (1–100 eV)
- Run simulation to compute energy eigenvalues, wavefunctions, and probability densities; export CSV data for spectroscopy validation
Worked Example
Electron confined in infinite square well of width L = 2 nm: ground state energy E1 = h²/(8mL²) = (6.626e-34)²/(8 × 9.109e-31 × (2e-9)²) = 0.151 eV. First excited state E2 = 4E1 = 0.604 eV. Transition photon wavelength λ = hc/(E2−E1) = 1.236e-6 m = 1.236 μm (infrared), matching near-IR absorption in quantum dot nanocrystals used in photovoltaic devices.
Practical Notes
- Verify reduced mass corrections for two-body systems (hydrogen: μ = mₑM/(mₑ+M) ≈ 0.9995 mₑ when nuclear mass M >> mₑ)
- Check WKB tunneling probability P ∝ exp(-2κa) decays exponentially; barrier width a and height sensitivity dominate SEM/AFM quantum leak-off calculations
- Use cat-filter to isolate pedagogical (textbook) vs. industrial (quantum-well laser design, trapped-ion precision spectroscopy) problem sets for context-appropriate assumptions