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Open Quantum Systems Decoherence
Quantum Simulation
Exact solutions for two-body problems in 1D deformed space with minimal length
arXiv
Authors: M. I. Samar, V. M. Tkachuk
Year
2017
Paper ID
44820
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
We reduce two-body problem to the one-body problem in general case of deformed Heisenberg algebra leading to minimal length.Two-body problems with delta and Coulomb-like interactions are solved exactly. We obtain analytical expression for the energy spectrum for partial cases of deformation function. The dependence of the energy spectrum on the center-of-mass momentum is found. For special case of deformation function, which correspondes to cutoff procedure in momentum space it is shown that this dependence is more likely to observe for identical particles.
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- We reduce two-body problem to the one-body problem in general case of deformed Heisenberg algebra leading to minimal length.Two-body problems with delta and Coulomb-like...
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