2 research outputs found
Spectrum of the non-commutative spherical well
We give precise meaning to piecewise constant potentials in non-commutative
quantum mechanics. In particular we discuss the infinite and finite
non-commutative spherical well in two dimensions. Using this, bound-states and
scattering can be discussed unambiguously. Here we focus on the infinite well
and solve for the eigenvalues and eigenfunctions. We find that time reversal
symmetry is broken by the non-commutativity. We show that in the commutative
and thermodynamic limits the eigenstates and eigenfunctions of the commutative
spherical well are recovered and time reversal symmetry is restored
Topics in Noncommutative Geometry Inspired Physics
In this review article we discuss some of the applications of noncommutative
geometry in physics that are of recent interest, such as noncommutative
many-body systems, noncommutative extension of Special Theory of Relativity
kinematics, twisted gauge theories and noncommutative gravity.Comment: New references added, Published online in Foundations of Physic