On the controllability of a quantum system for the Morse potential with a compact group SU(2)

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Abstract

The controllability of a quantum system for the Morse potential with the bound states are investigated. The ladder operators are constructed directly from the wave functions with the factorization method and associated to an su(2) algebra. This quantum system with the discrete bound states can be strongly completely controlled, i.e., the eigenstates can be guided by the external field to approach arbitrarily close to a selected target state at any chosen time, which can be theoretically realized by the actions of the ladder operators on the ground state. © 2003 Elsevier B.V. All rights reserved.
Original languageAmerican English
Pages (from-to)145-153
Number of pages129
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
DOIs
StatePublished - 29 Dec 2003
Externally publishedYes

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Morse potential
controllability
ladders
operators
factorization
eigenvectors
algebra
wave functions
ground state

Cite this

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abstract = "The controllability of a quantum system for the Morse potential with the bound states are investigated. The ladder operators are constructed directly from the wave functions with the factorization method and associated to an su(2) algebra. This quantum system with the discrete bound states can be strongly completely controlled, i.e., the eigenstates can be guided by the external field to approach arbitrarily close to a selected target state at any chosen time, which can be theoretically realized by the actions of the ladder operators on the ground state. {\circledC} 2003 Elsevier B.V. All rights reserved.",
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AB - The controllability of a quantum system for the Morse potential with the bound states are investigated. The ladder operators are constructed directly from the wave functions with the factorization method and associated to an su(2) algebra. This quantum system with the discrete bound states can be strongly completely controlled, i.e., the eigenstates can be guided by the external field to approach arbitrarily close to a selected target state at any chosen time, which can be theoretically realized by the actions of the ladder operators on the ground state. © 2003 Elsevier B.V. All rights reserved.

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