Spectrum of the non-commutative spherical well

Details Spectrum of the non-commutative spherical well Spectrum of the non-commutative spherical well

2007-09-21

arxiv.org/abs/0709.3357v1

J.Phys.A40:14581-14592,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1751-8113/40/48/019

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.

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