Matrix Elements of Arbitrary Exponential Quadratic Operator in Multi- Dimensional Phase Space
Xu Xiu-Wei, Zhao Ji-de, Ren Ting-Qi +1 more
Utilizing the normal and antinomal product representative of exponential quadrat ic operator in multi-dimensional phase space we give the exact expressions of matrix element for arbitrary exponential quadratic operator. Thus we derive the partition function and wave function of the system of quadratic Hamiltonian with out the knowledge of energy spectrum and eigenfunctions.
Acta Physica Sinica•Jan 1, 2000•2 citations