Birkhäuser Boston eBooks
Construction of a Quantum Field Linked to the Coulomb Potential
Nicolas Privault
Abstract
We construct a non-Gaussian field and its associated creation and annihilation operators, describing non-interacting bound states with no momentum in a Coulomb potential. The system is shown to behave quantum mechanically as a collection of coupled harmonic oscillators, allowing us to construct the field by injection into the quantum mechanical space of a free Gaussian field, and to study its time development. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.