Bohr orbit theory revisited. II. Energies for 1S, 2P, 3D, and 4F states of helium
作者： Richard D. Harcourt
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摘要: A modified Bohr orbit procedure is used to calculate the energies for 1S ground state and 2P, 3D, 4F excited states of helium atom. The are calculated from , in which E(ϕ) energy angle ϕ between position vectors r1 r2, P(ϕ) a probability function this angle. Numerical procedures evaluate integrals. Energies that range −2.9082 −2.9054 au (cf. −2.9037 au, exact). −2.1318, −2.1240, −2.0562, −2.0555, −2.0314, −2.0312 generally close exact −2.1332, −2.1239, −2.0557, −2.0313, −2.0313 23P, 21P, 33D, 31D, 43F 41F states. Some relationships exist theory Schrodinger local discussed. Approximate estimates 2P He, Li+,…,Ne8+ reported. The invariance two-electron hamiltonian with respect interchange electron coordinates leads two classical functions when quantum numbers electrons differ.
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