Abstract

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

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