2016
DOI: 10.3938/jkps.68.505
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Quantization of time-dependent non-central singular potential systems in three dimensions by using the Nikiforov-Uvarov method

Abstract: Quantum solutions of a time-dependent Hamiltonian for the motion of a time-varying mass subjected to time-dependent singular potentials in three dimensions are investigated. A time-dependent inverse quadratic potential and a Coulomb-like potential are considered as the components of the singular potential of the system. Because the Hamiltonian is a function of time, special techniques for deriving quantum solutions of the system are necessary. A quadratic invariant operator is introduced, and its eigenstates a… Show more

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Cited by 4 publications
(10 citation statements)
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“…(2) reduces to that of the system given in Ref. 15. Hence, our system that will be treated from now on is a generalization of the system that has been managed in Ref.…”
Section: Hamiltonian and Invariant Operatormentioning
confidence: 99%
See 4 more Smart Citations
“…(2) reduces to that of the system given in Ref. 15. Hence, our system that will be treated from now on is a generalization of the system that has been managed in Ref.…”
Section: Hamiltonian and Invariant Operatormentioning
confidence: 99%
“…Hence, our system that will be treated from now on is a generalization of the system that has been managed in Ref. 15. The Schrödinger equation for this Hamiltonian is given by If we think the time-dependence of the Hamiltonian, it may be impossible to derive exact quantum solutions of the system relying only on the conventional separation of variables method.…”
Section: Hamiltonian and Invariant Operatormentioning
confidence: 99%
See 3 more Smart Citations