Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction

Sobhani, Hadi; Hassanabadi, H.

doi:10.1155/2016/3647392

Cited by 5 publications

(1 citation statement)

References 33 publications

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“…To attain accurate results when we study molecular systems, it is necessary to introduce an exact Hamiltonian that yields actual time dependence of molecule behaviors. If we consider the convention that time-varying factors have usually been neglected on most studies of dynamical systems, the recent tendency [3,[36][37][38][39][40][41][42][43][44][45][46][47][48] for considering time dependence of physical parameters in this field may open up a new trend in the analysis of molecular interactions.…”

Section: Introductionmentioning

confidence: 99%

Quantum features of molecular interactions associated with time-dependent non-central potentials

2017

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The research for quantum features of molecular Coulomb interactions subjected to a time-dependent non-central potential has many applications. The wave functions of this system can be obtained by using an invariant operator, which is necessary for investigating a time-dependent Hamiltonian system. Regarding time dependence of the system, one can confirm that the formula of this operator is in general somewhat complicated. Hence, in order to solve its eigenvalue equation, special mathematical techniques beyond separation of variables method, such as the unitary transformation method, the Nikiforov-Uvarov method, and the asymptotic iteration method, should be employed. The double ring-shaped generalized non-central potential of which evolution explicitly depends on time is introduced as a particular case. The complete quantum solutions of the system can be identified from the eigenstates of the invariant operator. These solutions are useful for analyzing dynamical properties of the system.

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Section: Introductionmentioning

confidence: 99%

Quantum features of molecular interactions associated with time-dependent non-central potentials

2017

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Two-Body Spinless-Salpeter equation of unequal masses interacting with Coulomb-Hulthẻ n potential

Onate

Obaseki

Onyeaju

et al. 2019

J. Phys.: Conf. Ser.

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We obtained the analytical solutions of the two-body Salpeter equation via the methodology of supersymmetric quantum mechanics under a combination of Coulomb and Hulthén potentials for unequal masses. We clearly examined the energy eigenvalues for the ground state and excited states. The behaviour of energy with the sum of the masses and the screening parameter respectively, were also studied. The results showed that two bodies of unequal masses interacting within the system exhibit the same features.

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The semi-relativistic scattering states of the two-body spinless Salpeter equation with the Varshni potential model

Oluwadare

Oyewumi

2017

Eur. Phys. J. Plus

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Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction

Cited by 5 publications

References 33 publications

Quantum features of molecular interactions associated with time-dependent non-central potentials

Quantum features of molecular interactions associated with time-dependent non-central potentials

Two-Body Spinless-Salpeter equation of unequal masses interacting with Coulomb-Hulthẻ n potential

The semi-relativistic scattering states of the two-body spinless Salpeter equation with the Varshni potential model

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