EXPLORE SMONAD
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The Lamb shift: radiative structure and the DTT coefficient problem
Explain what the Lamb shift measures, derive a controlled auxiliary-state example, and identify the loop, normalization, nuclear, and shared-level calculations required of SMM/DTT.
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Explore the hydrogen wavefunction and radial probability
Compare probability density, radial probability, and the probability contained within a sphere.
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Proton, electron, neutrality, and binding
Separate charge cancellation, phase compatibility, two-body kinematics, and physical binding in the SMM/DTT hydrogen construction.
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Reproducible hydrogen calculations: inputs, units, uncertainty, and independence
Reproduce the reference Coulomb calculation, distinguish measured and source-derived inputs, propagate correlated uncertainty, and document the exact meaning of a claimed hydrogen prediction.
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What is established, conditional and still open?
A detailed status map for hydrogen in SMM/DTT: exact Coulomb results, temporal correspondence targets, constants, radiative corrections and next calculations.
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Explore coupling, atomic size, and binding energy
Vary a declared coupling and nuclear mass to see how linked atomic quantities respond together.
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Selection rules: why some hydrogen transitions emit light and others do not
Derive the electric-dipole selection rules, calculate a hydrogen matrix element, and distinguish energy intervals, allowed channels, rates, and two-photon processes.
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Explore hydrogen energy levels and spectral intervals
Choose two states, calculate their gross energy interval, and distinguish a frequency from an allowed radiative channel.
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