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

Shi Hai Dong; Yu Tang; Guo Hua Sun

doi:10.1016/j.physleta.2003.11.022

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

Shi Hai Dong, Yu Tang, Guo Hua Sun

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

20 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	145-153
Número de páginas	9
Publicación	Physics Letters, Section A: General, Atomic and Solid State Physics
Volumen	320
N.º	2-3
DOI	https://doi.org/10.1016/j.physleta.2003.11.022
Estado	Publicada - 29 dic. 2003
Publicado de forma externa	Sí

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

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.",

keywords = "Controllability, Ladder operators, Morse potential, SU(2) group",

author = "Dong, {Shi Hai} and Yu Tang and Sun, {Guo Hua}",

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AU - Dong, Shi Hai

AU - Tang, Yu

AU - Sun, Guo Hua

PY - 2003/12/29

Y1 - 2003/12/29

N2 - 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.

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.

KW - Controllability

KW - Ladder operators

KW - Morse potential

KW - SU(2) group

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DO - 10.1016/j.physleta.2003.11.022

M3 - Artículo

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VL - 320

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EP - 153

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2-3

ER -

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

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