Dirac Equation Calculator

Calculate relativistic energies from the Dirac equation

Calculation Type:

Momentum p (kg*m/s):

Rest Mass m (kg):

Free particle: E^2 = (pc)^2 + (mc^2)^2

Hydrogen: E = mc^2 / sqrt(1 + (alpha*Z)^2 / (n_r + gamma_j)^2)

gamma_j = sqrt((j + 1/2)^2 - (alpha*Z)^2)

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MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

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Formula Source: University Physics

by Young & Freedman

ðŸ”„Last reviewed: May 2026

âœ“Formula checks are based on standard references and internal QA review.