Spectrum of the non-commutative spherical well

Understand

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.