Quantum Foundations Calculator
Fundamental quantum mechanics calculations. Wave-particle duality, Heisenberg uncertainty, quantum harmonic oscillator, hydrogen atom, and spin.
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How to Use This Calculator
- In the de Broglie section, enter Particle Mass (kg) and Momentum or Velocity to compute the matter wavelength β visible diffraction requires wavelengths comparable to lattice spacing.
- Switch to the Harmonic Oscillator tab and enter Angular Frequency (rad/s) and Quantum Number (n) to see energy levels Eβ = βΟ(n + Β½).
- Use the Hydrogen Atom section with Principal (n), Orbital (l), and Magnetic (m) quantum numbers to get atomic energy and orbital radius.
- In the Spin section, enter Magnetic Field (T) and select particle type to compute Zeeman splitting and Larmor frequency.
- Read the Energy Levels chart to visualize the spacing and compare harmonic oscillator vs. hydrogen-like energy structures.
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Formula
Ξ» = h/p | ΞxΞp β₯ β/2 | E_n = βΟ(n+Β½) | E_n = -13.6/nΒ² eVRelated Calculators
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