Mathematics category
Quantum Mathematics calculators
States, amplitudes, operators and foundational quantum relationships.
71 calculators in this category. Page 1 of 2.
71 calculators available. Search data loads only when you use this field.
Photon energy
Convert a photon wavelength into frequency, energy in joules and energy in electronvolts.
Open calculator Quantum MathematicsDe Broglie wavelength
Calculate the matter wavelength associated with a non-relativistic particle's momentum.
Open calculator Quantum MathematicsUncertainty principle
Calculate the minimum momentum and velocity uncertainty implied by a position uncertainty.
Open calculator Quantum MathematicsWavefunction probability
Convert a complex wavefunction amplitude into magnitude, phase and probability density.
Open calculator Quantum MathematicsTwo-state normalization
Normalize two real state amplitudes and calculate their measurement probabilities.
Open calculator Quantum MathematicsBloch sphere state
Convert Bloch-sphere angles into qubit amplitudes and measurement probabilities.
Open calculator Quantum MathematicsInfinite well energy
Calculate a particle's quantized energy level in a one-dimensional infinite square well.
Open calculator Quantum MathematicsHydrogen transition
Calculate hydrogen energy levels and the photon energy and wavelength between two principal quantum numbers.
Open calculator Quantum MathematicsScaled De Broglie Relationship
Calculate scaled wavelength from scaled momentum and unit-conversion factor.
Open calculator Quantum MathematicsScaled De Broglie Relationship: solve scaled momentum
Rearrange the scaled de broglie relationship relationship and solve for scaled momentum.
Open calculator Quantum MathematicsScaled De Broglie Relationship: solve unit-conversion factor
Rearrange the scaled de broglie relationship relationship and solve for unit-conversion factor.
Open calculator Quantum MathematicsScaled Photon Energy–Frequency
Calculate scaled photon energy from scaled planck constant and photon frequency.
Open calculator Quantum MathematicsScaled Photon Energy–Frequency: solve scaled Planck constant
Rearrange the scaled photon energy–frequency relationship and solve for scaled planck constant.
Open calculator Quantum MathematicsScaled Photon Energy–Frequency: solve photon frequency
Rearrange the scaled photon energy–frequency relationship and solve for photon frequency.
Open calculator Quantum MathematicsAngular Momentum Quantum Scale
Calculate scaled angular momentum from quantum index and scaled reduced planck constant.
Open calculator Quantum MathematicsAngular Momentum Quantum Scale: solve quantum index
Rearrange the angular momentum quantum scale relationship and solve for quantum index.
Open calculator Quantum MathematicsAngular Momentum Quantum Scale: solve scaled reduced Planck constant
Rearrange the angular momentum quantum scale relationship and solve for scaled reduced planck constant.
Open calculator Quantum MathematicsUncertainty Product
Calculate uncertainty product from position uncertainty and momentum uncertainty.
Open calculator Quantum MathematicsUncertainty Product: solve position uncertainty
Rearrange the uncertainty product relationship and solve for position uncertainty.
Open calculator Quantum MathematicsUncertainty Product: solve momentum uncertainty
Rearrange the uncertainty product relationship and solve for momentum uncertainty.
Open calculator Quantum MathematicsEnergy–Time Uncertainty Product
Calculate uncertainty product from energy uncertainty and characteristic time interval.
Open calculator Quantum MathematicsEnergy–Time Uncertainty Product: solve energy uncertainty
Rearrange the energy–time uncertainty product relationship and solve for energy uncertainty.
Open calculator Quantum MathematicsEnergy–Time Uncertainty Product: solve characteristic time interval
Rearrange the energy–time uncertainty product relationship and solve for characteristic time interval.
Open calculator Quantum MathematicsAngular-Momentum Uncertainty Product
Calculate component uncertainty product from first component uncertainty and second component uncertainty.
Open calculator Quantum MathematicsAngular-Momentum Uncertainty Product: solve first component uncertainty
Rearrange the angular-momentum uncertainty product relationship and solve for first component uncertainty.
Open calculator Quantum MathematicsAngular-Momentum Uncertainty Product: solve second component uncertainty
Rearrange the angular-momentum uncertainty product relationship and solve for second component uncertainty.
Open calculator Quantum MathematicsPhoton Momentum from Energy
Calculate photon momentum from photon energy and propagation speed.
Open calculator Quantum MathematicsPhoton Momentum from Energy: solve photon energy
Rearrange the photon momentum from energy relationship and solve for photon energy.
Open calculator Quantum MathematicsPhoton Momentum from Energy: solve propagation speed
Rearrange the photon momentum from energy relationship and solve for propagation speed.
Open calculator Quantum MathematicsScaled Probability Amplitude Square
Calculate scaled probability contribution from normalization scale and real amplitude magnitude.
Open calculator Quantum MathematicsScaled Probability Amplitude Square: solve normalization scale
Rearrange the scaled probability amplitude square relationship and solve for normalization scale.
Open calculator Quantum MathematicsScaled Probability Amplitude Square: solve real amplitude magnitude
Rearrange the scaled probability amplitude square relationship and solve for real amplitude magnitude.
Open calculator Quantum MathematicsQuantum Overlap Probability Scale
Calculate transition probability from normalization factor and state-overlap magnitude.
Open calculator Quantum MathematicsQuantum Overlap Probability Scale: solve normalization factor
Rearrange the quantum overlap probability scale relationship and solve for normalization factor.
Open calculator Quantum MathematicsQuantum Overlap Probability Scale: solve state-overlap magnitude
Rearrange the quantum overlap probability scale relationship and solve for state-overlap magnitude.
Open calculator Quantum MathematicsQuantum Energy-Level Gap
Calculate transition energy gap from upper energy level and lower energy level.
Open calculator Quantum MathematicsQuantum Energy-Level Gap: solve upper energy level
Rearrange the quantum energy-level gap relationship and solve for upper energy level.
Open calculator Quantum MathematicsQuantum Energy-Level Gap: solve lower energy level
Rearrange the quantum energy-level gap relationship and solve for lower energy level.
Open calculator Quantum MathematicsQuantum Dynamical Phase Magnitude
Calculate phase magnitude from energy-time action and reduced planck constant.
Open calculator Quantum MathematicsQuantum Dynamical Phase Magnitude: solve energy-time action
Rearrange the quantum dynamical phase magnitude relationship and solve for energy-time action.
Open calculator Quantum MathematicsQuantum Dynamical Phase Magnitude: solve reduced Planck constant
Rearrange the quantum dynamical phase magnitude relationship and solve for reduced planck constant.
Open calculator Quantum MathematicsQuantum State Normalization Remainder
Calculate remaining probability from target total probability and sum of known basis probabilities.
Open calculator Quantum MathematicsQuantum State Normalization Remainder: solve target total probability
Rearrange the quantum state normalization remainder relationship and solve for target total probability.
Open calculator Quantum MathematicsQuantum State Normalization Remainder: solve sum of known basis probabilities
Rearrange the quantum state normalization remainder relationship and solve for sum of known basis probabilities.
Open calculator Quantum MathematicsEffective Quantum Dimension from Purity
Calculate effective dimension from density-matrix purity and unit reciprocal scale.
Open calculator Quantum MathematicsEffective Quantum Dimension from Purity: solve density-matrix purity
Rearrange the effective quantum dimension from purity relationship and solve for density-matrix purity.
Open calculator Quantum MathematicsEffective Quantum Dimension from Purity: solve unit reciprocal scale
Rearrange the effective quantum dimension from purity relationship and solve for unit reciprocal scale.
Open calculator Quantum MathematicsQuantum State Infidelity
Calculate state infidelity from unit fidelity scale and state fidelity.
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