2005•Yunnan Daxue xuebao. Shehui kexue banRequires access

Variational calculations ground level of the helium atom by four parameters

L. Yin

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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 Schrdinger 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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What this paper is about

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 Schrdinger 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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Available 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 Schrdinger 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

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