The New Type of Extended Uncertainty Principle and Some Applications in Deformed Quantum Mechanics

摘要

In this paper we present a new type of extended uncertainty principle (EUP) of the form [X, P] = i(1 - q|X|) and show that it has the non-zero minimal momentum. For this EUP we discuss the classical mechanics in the curved space, deformed calculus, deformed quantum mechanics and Bohr-Sommerfeld quantization.