Construction of a Quantum Field Linked to the Coulomb Potential

  • Nicolas Privault
Conference paper
Part of the Progress in Probability book series (PRPR, volume 42)


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.


Coulomb Potential Annihilation Operator Radial Wave Function Wick Product Couple Harmonic Oscillator 
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Copyright information

© Springer Science+Business Media New York 1998

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  • Nicolas Privault

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