Bound states of a Klein-Gordon particle in the presence of a smooth potential well

Abstract:

We solve the one-dimensional time-independent Klein-Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker Mκ,μ(x) function, and the antiparticle bound state is discussed in terms of potential parameters.

Año de publicación:

2020

Keywords:

• bound state solutions
• Hypergeometric functions
• Klein-Gordon equation

Fuente:

scopus