🔮 Quantum Mechanics Calculators — Wavefunctions, Energy Levels, Tunneling
Solve textbook quantum problems with CODATA 2018 constants. Energies are given in joules and electronvolts; lengths in nanometres where convenient.
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- Particle in a Box CalculatorEnergy levels, transition wavelength and probability of finding a particle in a region of a 1D infinite potential well.
- Quantum Harmonic Oscillator CalculatorEnergy levels, zero-point energy, level spacing and classical turning points of a quantum harmonic oscillator.
- Bohr Model CalculatorOrbit radius, energy and speed of an electron in a hydrogen-like ion, plus the photon wavelength of a transition.
- Heisenberg Uncertainty Principle CalculatorMinimum momentum/velocity uncertainty for a given position uncertainty, and minimum energy uncertainty for a given lifetime.
- Quantum Tunneling CalculatorExact and approximate transmission probability of a particle through a rectangular potential barrier.
- Quantum Numbers & Orbital Degeneracy CalculatorAllowed quantum numbers, subshell label, degeneracy and angular momentum for an electron orbital.
- Compton Scattering CalculatorWavelength shift, scattered photon energy and electron recoil energy for Compton scattering off a free electron.