Corrections to the Nonrelativistic Ground Energy of a Helium Atom

Abstract

Considering the nuclear motion, the authors give out the nonrelativistic ground energy of a helium atom by using a simple but effective variational wave function with a flexible parameter $k$. Based on this result, the relativistic and radiative corrections to the nonrelativistic Hamiltonian are discussed. The high precision value of the helium ground energy is evaluated to be -2.90338 a.u., and the relative error is 0.00034%.

8 pages, no figures, 2 tables

References in corpus (3)

• Nonrelativistic ionization energy for the helium ground state
• Ionization Potential of the Helium Atom
• Quantum Electrodynamics of the Helium Atom

Cited by in corpus (1)

• New Spinor Field Realizations of the Non-Critical $W_3$ String