The generalized uncertainty principle with commuting coordinates

초록

In this paper, we present a new D-dimensional generalized uncertainty principle (GUP) algebra with commuting coordinates which recovers [X-1, P-1] = i(1+beta P-1(2)) in one dimension. We find two representations for this GUP: momentum representation and position representation. We discuss the GUP-corrected three-dimensional quantum mechanics in position representation for a small beta. Finally, we discuss the momentum wave function and GUP-corrected Fermi metal theory.

키워드