Scaling Variat ion-Truncat ion Approximation in an Operator Form

An operator form of scaling variational method combining truncation approximation is propoied to solve the energy eigenvalue problem of the onedimensional polynomial potential, in which the scaling parameters of the Hamiltonian are determined by variational principle, followed by a truncation approximation. As examples, the energy values of onedimensional anharnionic and pure quartic oscillators are calculated. The results axsimple in form and have high accuracy. Moreover, the operator method and two-step approximation are combined in a unified treatment on the ground of scaling variational method in an operator form.