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Open Quantum Systems Decoherence
Quantum Simulation
Integrability and separation of variables in Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems
arXiv
Authors: Tigran Hakobyan, Armen Nersessian
Year
2015
Paper ID
27443
Status
Preprint
Abstract Read
~2 min
Abstract Words
58
Citations
N/A
Abstract
We propose the integrable N-dimensional Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems and construct their constants of motion via the Dunkl operators. Their Schrödinger equations decouple in parabolic and elliptic coordinates into the set of three differential equations like for the Coulomb-Stark and two-center Coulomb problems. The Calogero term preserves the energy levels, but changes their degrees of degeneracy.
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- We propose the integrable N-dimensional Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems and construct their constants of motion via the Dunkl operators.
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