Variational calculations ground level of the helium atom by four parameters
L. Yin
Abstract
L. Yin
Abstract
The ground state wave function of four parameters is designed and the ground level expression of the helium atom is derived when solving the radial Schrdinger equation.The ground energy of the helium atom is evaluated by means of the optimized computation of Matlab 7.0 and the Monte-Carlo method respectively.The calculation result of this paper is compared with the value of the experiment and the calculations of other variational methods in reference.It is shown that the method of this paper not only the calculation result get much simplification and precision,but also the radial wave function of the helium atom in ground state meet the need of symmetry automatically.
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The ground state wave function of four parameters is designed and the ground level expression of the helium atom is derived when solving the radial Schrdinger equation.The ground energy of the helium atom is evaluated by means of the optimized computation of Matlab 7.0 and the Monte-Carlo method respectively.The calculation result of this paper is compared with the value of the experiment and the calculations of other variational methods in reference.It is shown that the method of this paper not only the calculation result get much simplification and precision,but also the radial wave function of the helium atom in ground state meet the need of symmetry automatically.
Key concepts: Helium atom, Ground state, Wave function, Helium, Atom (system on chip), Variational method, Computation, Physics