Hylleraas-Breit变换在类氦离子Schr(o)dinger方程中的应用

给出了Hylleraas-Breit变换(HBT)的具体形式,并用之将类氦离子不动核问题的六维Schrdinger方程化为三维的形式.给出了求解类氦离子任一能量定态问题的三维能量方程或方程组以及对应的变分形式.

The application of the Hylleraas-Breit transformation to the Schrdinger equations of heliumlike atoms

The author gives the explicit form of the Hylleraas-Breit transformation in the present paper, and applies it to the fixed nuclear problems of helium-like ions. Utilizing the relation between the total angular momentum and the Hamilton, the author can transfer the six-dimensional Schr*idinger equations to three-dimensional forms. For any given stationary energy state, the author gives the energy equation or system of equations and its variational form in three variables r 1,r 2,θ, where r 1,r 2 are the distances between the two electrons and the nuclear and θ is the inter-electronic angle. The energy equations given by G. Breit are special cases in the present paper when the angular momentum number l=0,1.