Optical properties of spherical quantum dot with modified Pöschl–Teller potential

We need to solve a suitable exponential form of the position-dependent mass (PDM) Schrödinger equation with a charged particle placed in the Hulthen plus Coulomb-like potential field and under the influence of the external magnetic and Aharonov-Bohm (AB) flux fields. The bound state energies and their corresponding wave functions are calculated for spatiallydependent mass distribution function of a physical interest. A few plots of some numerical results to the energy are shown.

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“…On the other hand, after using the Eqs. (6) and parameterized NU method [52], we can simply obtain the wave function as…”

Section: Schrödinger Equation With Q-deformed Pdm Functionmentioning

confidence: 99%

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

2018

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“…Just for completeness we mention that the evolution of the Gaussian wavepacket (6) in the presence of the nonreflecting potential (2) with ν = 1 which has been numerically studied in [8], is given by…”

Section: A Constructing a Nonreflecting Wavepacketmentioning

confidence: 99%

Scattering by a reflectionless modified Pöschl–Teller potential: Bohmian trajectories and arrival times

Mousavi¹

2015

Phys. Scr.

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A nonreflecting wavepacket is constructed by the superposition of reflectionless eigenstates of sech2 potential. Free propagation and propagation in the presence of the above potential of such a wavepacket is considered using the concept of arrival time. Comparison is made with the free evolving Gaussian wavepacket. Mean arrival time at a detector behind the well is given as a function of mass for separate cases. A selection of Bohmian trajectories in the interacting case are computed and compared to the trajectories of a free particle guided by a Gaussian packet.

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“…In view of practical ground, the Pöschl-Teller potential is a more reliable approximation of quantum dots confinement potential, especially in axial direction [11]. The quantum wells having nonlinear optical properties (optical rectification, electrooptic effect and so on) provide useful opportunities for device applications in photodetectors, etc.…”

Section: Introductionmentioning

confidence: 99%

Feinberg-Horodecki Equation with Pöschl-Teller Potential: Space-like Coherent States

Arda

Sever

2017

Zeitschrift Für Naturforschung A

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Abstract. We obtain the quantized momentum solutions, Pn, of the Feinberg-Horodecki equation. We study the space-like coherent states for the space-like counterpart of the Schrödinger equation with trigonometric Pöschl-Teller potential which is constructed by temporal counterpart of the spatial Pöschl-Teller potential. IntroductionIt is well known that the basic equation for non-relativistic quantum mechanical systems is the Schrödinger equation which is a time-like equation writing for space-dependent potentials. This equation describes the dynamics of quantal systems. Actually, the time-and space-like equations are symmetric according to time and spatial coordinates, and it is possible to construct a "generalized quantum theory" including the above space-like quantum states [1]. Such a relativistic theory has been introduced by Feinberg [2], and it's non-relativistic version has been obtained by Horodecki [3] who wrote the following space-like counterpart of the Scrödinger equation in one-dimension

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Optical properties of spherical quantum dot with modified Pöschl–Teller potential

Cited by 35 publications

References 19 publications

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Energy states of the Hulthen plus Coulomb-like potential with position-dependent mass function in external magnetic fields

Scattering by a reflectionless modified Pöschl–Teller potential: Bohmian trajectories and arrival times

Feinberg-Horodecki Equation with Pöschl-Teller Potential: Space-like Coherent States

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