2000•Journal of Optics B Quantum and Semiclassical OpticsOpen access

Ladder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space

Xiaoguang Wang

Abstract

We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalisms and have the generally deformed oscillator (GDO) algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states may also have a GDO algebraic structure. Some interesting examples of one- and two-photon quantum states are given.

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Key concepts: Fock space, Rotation formalisms in three dimensions, Fock state, Ladder operator, Displacement operator, Operator (biology), Operator algebra, Quantum mechanics