// multi-utility computation suite · offline · instant · precise
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sci.quantum-tunneling-WKB Calculator
Calculates the quantum tunnelling transmission coefficient using the WKB approximation: T ≈ exp(−2∫√(2m(V−E))/ℏ dx). Alpha decay tunnelling time through the Coulomb barrier: ²²⁶Ra (t½ = 1,600 years) has T ≈ 10⁻³⁸ per nuclear collision — barrier height and width determine decay rate.
Inputs
E Ev
Capacity to do work (J or kWh). Conserved — converts between forms but total stays constant in a closed system.
V0 Ev
Vertical measurement. For health calculators, typically standing height without shoes.
A Nm
Horizontal extent perpendicular to the length.
M Amu
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Results
tunneling transmission probability T
Sample size or count used in the calculation.
T (%)
Reference formula or conversion factor shown for context.
decay constant κ (nm⁻¹)
Sample size or count used in the calculation.
T ≈ exp(−2κa)
Reference formula or conversion factor shown for context.
κ = √[2m(V₀−E)] / ℏ
Reference formula or conversion factor shown for context.
application
Recommended use case or application for this configuration or result.