Klein–Gordon equation

Physics

Eigenfunction

Nonlinear system

Mathematical physics

Phase space

Eigenvalues and eigenvectors

Noncommutative algebraic geometry

Noncommutative quantum field theory

Quantum mechanics

Quantum differential calculus

Noncommutative geometry

Modern Physics Letters A

The Klein–Gordon equation is considered for the Kratzer potential in the spherical polar coordinate in laboratory frame in noncommutative space. The energy shift due to noncommutativity is obtained via the perturbation theory. After rather cumbersome algebra, we found the eigenfunctions and eigenvalues of the system for a noncommutative phase space.

The Klein–Gordon equation with the Kratzer potential in the noncommutative space