2010•College PhysicsRequires access

Hylleraas variational calculation for ground-state energy of Helium

Chen Guan-jun

Abstract

By using the Hylleraas-type wave function, the expression for the energy of Helium in the ground state is derived in detail. The variational minimum of ground state energy is obtained by the help of Mathematica. The theoretical value of energy is in agreement with experimental data, and the relative error is less than 0.04‰. This calculation is easy to understand, thus it is very suitable for the teaching purpose.

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Available abstract

Key concepts: Physics, Ground state, Helium, Wave function, Energy (signal processing), Variational method, Function (biology), Atomic physics