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Vacuum polarization corrections to the energy levels of bound electrons are calculated using a perturbative path integral formalism. We apply quantum electrodynamics in a framework which treats the strong binding nuclear field to all…

原子物理 · 物理学 2023-09-26 Sreya Banerjee , Zoltán Harman

In order to rigorously evaluate the energy and dipole moment of a certain configuration of molecules one needs to solve the Schr\"odinger equation. Repeating this for many different configurations allows one to determine the potential…

软凝聚态物质 · 物理学 2015-06-01 Carlos Vega

In this work, we used a tool of conventional Nikiforov-Uvarov method to determine bound state solution of Schrodinger equation with quantum interaction potential called Hulthen-Yukawa inversely quadratic potential (HYIQP). We obtained the…

量子物理 · 物理学 2017-02-15 Ituen B. Okon , Oyebola Popoola , Cecilia N. Isonguyo

Coupled elliptic quantum dots with different aspect ratios containing up to two electrons are studied using a model confinement potential in the presence of magnetic fields. Single and two particle Schroedinger equations are solved using…

介观与纳米尺度物理 · 物理学 2009-11-11 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

A parametrized double-well potential is proposed to address the issue of the impact of shape deformability of some bistable physical systems, on their quantum dynamics and classical statistical mechanics. The parametrized double-well…

统计力学 · 物理学 2021-10-07 F. Naha Nzoupe , Alain M. Dikande , C. Tchawoua

Fully numerical mesh solutions of 2D and 3D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of…

原子物理 · 物理学 2007-05-23 Mikhail V. Ivanov

The electric dipole polarizabilities of $^3$H, $^3$He, and $^4$He are calculated directly using the Schr\"odinger equation with the latest generation of two- and three-nucleon interactions. These polarizabilities are necessary in order to…

核理论 · 物理学 2010-05-27 I. Stetcu , S. Quaglioni , J. L. Friar , A. C. Hayes , P. Navrátil

In this research article, thermal properties of energy dependent Kratzer potential (EDKP) for CO diatomic molecule is presented. The non-relativistic energy spectra earlier obtained by Ikot et al. [7] for EDKP was utilized to numerically…

化学物理 · 物理学 2021-11-19 Collins Edet , Uduakobong Okorie , Akpan Ikot

We investigate the properties of many-electron systems in two-dimensional polygonal (triangle, square, pentagon, hexagon) potential wells by using the density functional theory. The development of the ground state electronic structure as a…

强关联电子 · 物理学 2009-11-07 E. Rasanen , H. Saarikoski , M. J. Puska , R. M. Nieminen

We consider generic Boltzmann-Hund double well potential (DWP) theory and find that, for atom H, the Sommerfeld-Dirac equation in QED transforms in a DWP (Mexican hat curve) for chiral systems. With either theory, the few precise H 1S-nS…

综合物理 · 物理学 2010-02-10 G. Van Hooydonk

Dynamical screening function of the two-dimensional electron gas in wide HgTe quantum well (QW) has been numerically modelled in this work. Calculations were provided in the Random Phase Approximation (RPA) framework and were based on…

介观与纳米尺度物理 · 物理学 2018-03-16 Evgen O. Melezhik , Fiodor F. Sizov , Nikolai N. Mikhailov , Joanna V. Gumenjuk-Sichevska

The energy eigenvalues and the wave functions of an $\alpha$ particle in a Bohrium $270$ nucleus were calculated by solving Schr\"odinger equation for Generalized Symmetric Woods-Saxon potential. Using the energy spectrum by excluding and…

核理论 · 物理学 2018-01-08 B. C. Lütfüoğlu , M. Erdogan

The orbital, spin and valley degrees of freedom in silicon quantum dots support many modes of spin qubit operation. However, it is generally challenging to obtain information about the energy level spectrum over large ranges of parameter…

介观与纳米尺度物理 · 物理学 2026-04-06 Heun Mo Yoo , Tanner M. Janda , Connor Nasseraddin , Jason R. Petta

We present a new interpretation of quantum mechanics, called the double-scale theory, which expends on the de Broglie-Bohm (dBB) theory. It is based, for any quantum system, on the simultaneous existence of two wave functions in the…

量子物理 · 物理学 2023-06-01 Michel Gondran , Alexandre Gondran

In this work, we analytically study the Schr\"odinger equation for the (non-pure) dipolar ion potential V (r) = q/r + Dcos{\theta}/r 2 , in the case of 2D systems using the separation of variables and the Mathieu equations for the angular…

量子物理 · 物理学 2019-01-15 Mustafa Moumni , Mokhtar Falek

We transform the Schr\"odinger wave equation to a nine-parameter Heun-type differential equation. Using our solutions of the latter in [J. Math. Phys. 59 (2018) 113507], we are able to identify the associated potential function, energy…

量子物理 · 物理学 2020-12-25 A. D. Alhaidari

The mapping between gate voltages applied to a double quantum dot, and the parameters of a Hubbard-like Hamiltonian, is of utmost importance for understanding and operating spin qubits. State-of-the-art techniques for measuring Hamiltonian…

An analysis of the analytical solution of the Schr\"{o}dinger equation (which is a second order differential equation) for $H_2^+$ shows that the second linear independent solution of this equation is a square integrable function and…

量子物理 · 物理学 2007-05-23 Alexander V. Mitin

Recently, the Asymptotic Iteration Method (AIM) was used to calculate the energy spectrum for a short rang three parameter central potential which was introduced by H. Bahlouli and A. D. Alhaidari. The S-orbital wave solution of the…

量子物理 · 物理学 2018-02-14 Abdulla Jameel Sous , M. I. El-Kawni

A 2D Schrodinger equation with interacting Mobius square potential model is solved using Nikiforov-Uvarov Functional Analysis (NUFA) formalism. The energy spectra and the corresponding wave function for the linearly and exponentially…