phi-deformed boson algebra based on phi-deformed addition and non-classical properties of phi-deformed coherent states

摘要

In this paper the general deformed boson algebra called a phi-deformed boson algebra is discussed based on the phi-addition and phi-subtraction. The phi-derivative and the realization of phi-deformed boson algebra are also discussed. Besides, phi-deformed su(2) algebra (su(phi)(2) algebra) and supersymmetric quantum mechanics are also discussed. Seven possible phi-deformed boson algebras are discussed and phi-coherent states and non-classical properties are investigated.