quantum Calculators
Last updated: May 2026
De Broglie Wavelength Calculator
Compute the de Broglie wavelength λ = h/(m·v) of a massive particle from its mass and velocity.
Photon Energy Calculator
Compute the energy of a single photon from its wavelength using E = hc/λ, the Planck-Einstein relation.
Heisenberg Uncertainty Principle Calculator
Compute the minimum momentum uncertainty Δp ≥ h/(4π·Δx) implied by Heisenberg's uncertainty principle for a given position uncertainty.
Compton Scattering Calculator
Compute the scattered photon's wavelength after Compton scattering off a free electron, given the initial wavelength and scattering angle.
Quantum Tunneling Probability Calculator
Compute the WKB transmission probability T ≈ exp(−2·w·κ) for a particle tunnelling through a rectangular potential barrier, given barrier height, width, and particle energy.
Blackbody Radiation Calculator
Computes the spectral radiance of a perfect blackbody at a given temperature and wavelength using Planck's law.
Quantum Harmonic Oscillator Energy Calculator
Calculates the quantised energy levels of a quantum harmonic oscillator for a given frequency and quantum number.
Hydrogen Atom Energy Levels Calculator
Computes the energy of any electron shell in a hydrogen atom using Bohr's model, given the principal quantum number n.
Spin Angular Momentum Calculator
Calculates the magnitude of a particle's spin angular momentum from its spin quantum number s.
Infinite Square Well Energy Calculator
Calculates the quantised energy levels of a particle confined in an infinite square potential well, given the quantum number, well width, and particle mass.
Photon Energy and Frequency Calculator
Converts a photon's wavelength to its energy in joules or electron-volts, accounting for the refractive index of the medium.
Hydrogen Atom Energy Levels Calculator
Computes hydrogen electron energy levels, transition energies, emitted wavelengths, and photon frequencies from two quantum numbers.
Quantum Spin and Angular Momentum Calculator
Calculates the magnitude, z-component, magnetic moment, and multiplicity of quantum spin or orbital angular momentum.
Particle in a Box Calculator
Computes the quantised energy levels of a particle confined in a 1D, 2D, or 3D infinite potential well.
Blackbody Radiation Calculator
Calculates blackbody spectral radiance, peak wavelength, and total radiated power using Planck's law and the Stefan–Boltzmann law.
Heisenberg Uncertainty Principle Calculator
Finds the minimum uncertainty in a particle's momentum given a known position uncertainty, applying Heisenberg's principle.
Photon Energy and Frequency Calculator
Calculates photon energy from either its wavelength or frequency using Planck's relation.
Quantum Angular Momentum Calculator
Computes the magnitude of orbital, spin, or total angular momentum for atomic electrons using quantum numbers.
Quantum Wave Packet Dispersion Calculator
Calculates how a quantum wave packet's spatial width grows over time due to quantum dispersion.
Quantum Spin-Orbit Coupling Calculator
Computes the spin-orbit coupling energy for an atomic electron given orbital, spin, and total angular momentum quantum numbers plus a coupling constant.
Debye Temperature Calculator
Calculates the Debye temperature of a crystalline solid from its atomic density and sound velocity.
Fermi Energy and Temperature Calculator
Computes the Fermi energy and Fermi temperature of a free or effective-mass electron gas from carrier density, dimensionality, and effective mass.
Compton Scattering Calculator
Calculates the scattered photon energy after a Compton scattering event given the incident photon energy, scattering angle, and target particle mass.
Infinite Square Well Calculator
Calculates the quantized energy levels, de Broglie wavelengths, and momenta of a particle confined in a one-dimensional infinite square well.
Heisenberg Uncertainty Principle Calculator
Calculates the minimum momentum or velocity uncertainty of a particle given the precision of its position measurement.
Quantum Confinement Energy Calculator
Computes discrete energy levels of a particle confined in a 1D quantum well, 2D quantum wire, or 3D quantum dot.
Hydrogen Atom Energy Levels Calculator
Calculates hydrogen-like atom energy levels, orbital radii, and spectral wavelengths from the Schrödinger equation.
Quantum Decoherence Time Calculator
Estimates how quickly a quantum superposition loses coherence due to environmental interactions.
Quantum Entanglement Measure Calculator
Quantifies the degree of entanglement in a two-qubit pure quantum state using concurrence, von Neumann entropy, or negativity.
Heisenberg Uncertainty Principle Calculator
Calculates the minimum uncertainty in momentum, velocity, or time given measured uncertainties in position or energy.
Schrödinger Wave Function Calculator
Compute the wave function ψ(x) for a particle in an infinite square well or as a free particle.
Quantum Entanglement Fidelity Calculator
Compute concurrence, entanglement entropy, or Bell-inequality violation for a two-qubit pure state defined by amplitudes α and β.
Quantum Gate Fidelity Calculator
Estimate the fidelity of single-qubit, CNOT, or multi-qubit gates by combining decoherence decay and control-field errors.
Quantum Error Correction Threshold Calculator
Estimate the logical error rate of surface, Steane, or generic quantum error-correcting codes given physical error rate, code distance, and decoder choice.
Quantum Teleportation Protocol Calculator
Estimate the end-to-end fidelity of a quantum teleportation protocol over a lossy channel given entanglement quality, detector efficiency, and distance.
Quantum Algorithm Complexity Calculator
Estimate circuit depth and quantum speedup for Shor's, Grover's, and QFT algorithms.