The Effective Hamiltonian and Electron Correlation Energy

An effective,hermitian hamiltonian is derived in amodel space. Its perturbation expressions to third order approximation are given.The correlation energy is also given to the third order approximation.The effective hamiltonian deviates form the actual one by the presence of acorrelation operator.The cprrelation operatop is given in an explicit form.

算子同调论

本文提出了“算子同调”的思想,建议了上同调微分算子。相关同调微分算子,泛同调微分算子等;将协变微商纳入泛同调微分算子之中;用同调微分算子建立起一类非线性微分方程。