Ionic Kratzer bond theory and vibrational levels for achiral covalent bond HH
Abstract
A dihydrogen Hamiltonian reduces to the Sommerfeld-Kratzer-potential, adapted for field quantization according to old-quantum theory. Constants omegae, ke and re needed for the H2 vibrational system derive solely from hydrogen mass mH. For H2, a first principles ionic Kratzer oscillator returns the covalent bond energy within 0,08 % and all levels within 0,02 %, 30 times better than the Dunham oscillator and as accurate as early ab initio QM.
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