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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Simulation
Particular Integrability and (Quasi)-exact-solvability
arXiv
Authors: Alexander V. Turbiner
Year
2012
Paper ID
8619
Status
Preprint
Abstract Read
~2 min
Abstract Words
55
Citations
N/A
Abstract
A notion of a particular integrability is introduced when two operators commute on a subspace of the space where they act. Particular integrals for one-dimensional (quasi)-exactly-solvable Schroedinger operators and Calogero-Sutherland Hamiltonians for all roots are found. In the classical case some special trajectories for which the corresponding particular constants of motion appear are indicated.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- A notion of a particular integrability is introduced when two operators commute on a subspace of the space where they act.
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