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.
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Privault, N. (1998). Construction of a Quantum Field Linked to the Coulomb Potential. In: Decreusefond, L., Øksendal, B., Gjerde, J., Üstünel, A.S. (eds) Stochastic Analysis and Related Topics VI. Progress in Probability, vol 42. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2022-0_15
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DOI: https://doi.org/10.1007/978-1-4612-2022-0_15
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7385-1
Online ISBN: 978-1-4612-2022-0
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