Uncertainty Principles For The α-fock Space F_α~2

In this paper,we mainly introduce a positive parameterand results about uncer-tainty principle of two self-adjoint operators and linear operators for the Fock space F~2 are generalized to the α-Fock Space F_α~2 in the complex plane.In particular,we also do a perfect proof for the case of a,b are complex parameters.In the first chapter,we introduce some background information and some defini-tions and properties about holomorphic function spaces on the complex plane.In the second chapter,we mainly study the uncertainty principles of self-adjoint operators for the α-Fock Space F_α~2 .In the third chapter,we study the uncertainty principles of linear operators for the α-Fock Space F_α~2 .In the fourth chapter,we study the further discussion on uncertainty principles for the α-FockSpace F_α~2 on the high dimensional.