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

DOI10.1016/j.physleta.2003.11.022zbMath1065.81551OpenAlexW2122932303MaRDI QIDQ1418050

Yu. Tang, Guo-Hua Sun, Shi-Hai Dong

Publication date: 6 January 2004

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.11.022

zbMATH Keywords

wave functionsbound statesladder operators

Mathematics Subject Classification ID

Controllability (93B05) General mathematical topics and methods in quantum theory (81Q99)

Related Items (6)

Cooling of a nanomechanical resonator in presence of a single diatomic molecule ⋮ Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential ⋮ The controllability of the pure states for the Morse potential with a dynamical group SU(1,1) ⋮ Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2) ⋮ Exact solutions for vibrational levels of the Morse potential via the asymptotic iteration method ⋮ REALIZATION OF DYNAMICAL GROUP FOR A SYMMETRIC WELL POTENTIAL tan²(πx/a) AND ITS CONTROLLABILITY

Cites Work

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• The realization of dynamic group for the pseudoharmonic oscillator
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• Dynamical potential algebras for Gendenshtein and Morse potentials
• Quantum theory, the Church–Turing principle and the universal quantum computer
• Optimal control of two-level quantum systems
• Considerations Concerning the Harmonic Limit of the Morse Oscillator
• LIMITATIONS ON QUANTUM CONTROL

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