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Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov-Uvarov method. Wavefunctions are…

量子物理 · 物理学 2008-11-26 Cevdet Tezcan , Metin Aktas , Ozlem Yesiltas Ramazan Sever

Double core-hole (DCH) spectroscopy is investigated systematically for neon atomic system in the interaction with ultraintense x-ray pulses with photon energy from 937 eV to 2000 eV. A time-dependent rate equation, implemented in the…

原子物理 · 物理学 2015-02-10 Cheng Gao , Jiaolong Zeng , Jianmin Yuan

The Fourier component of the potential energy of interaction of an atom with an atom is represented as a polynomial of the fourth degree from the atomic form factor. A numerical calculation was performed for the atomic form factor in the…

原子物理 · 物理学 2020-04-28 Vladimir. P. Koshcheev , Dmitry. A. Morgun , Yuriy. N. Shtanov

We present analytically the exact energy bound-states solutions of the Schrodinger equation in $D$-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form $V(r,\theta)=D_{e}(\frac{r}{% r_{e}}-\frac{r_{e}}{r})…

量子物理 · 物理学 2008-07-15 Sameer M. Ikhdair , Ramazan Sever

We introduce an orbital-optimized double-hybrid (DH) scheme using the optimized-effective-potential (OEP) method. The orbitals are optimized using a local potential corresponding to the complete exchange-correlation energy expression…

The asymptotic iteration method is used to find exact and approximate solutions of Schroedinger's equation for a number of one-dimensional trigonometric potentials (sine-squared, double-cosine, tangent-squared, and complex cotangent).…

数学物理 · 物理学 2014-03-05 Hakan Ciftci , Richard L. Hall , Nasser Saad

New method for ab initio calculations of the properties of large size system based on phase-amplitude functional is presented. It is shown that Schrodinger equation for many electrons complex system including large size molecules, or…

计算物理 · 物理学 2019-10-10 Pawel Strak , Konrad Sakowski , Pawel Kempisty , Stanislaw Krukowski

We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis…

介观与纳米尺度物理 · 物理学 2009-11-10 Victor M. Villalba , Ramiro Pino

This paper presents an accurate highly efficient method for solving the bound states in the one-dimensional Schr\"odinger equation with an arbitrary potential. We show that the bound state energies of a general potential well can be…

量子物理 · 物理学 2019-09-12 Carlos Ramírez , Fernanda H. González , César G. Galván

Statistics of many particle energy levels of a finite two-dimensional system of interacting electrons is numerically studied. It is shown that the statistics of these levels undergoes a Poisson to Wigner crossover as the strength of the…

介观与纳米尺度物理 · 物理学 2009-10-31 R. Berkovits , B. I. Shklovskii

We study the spherical quantum pseudodots in the Schrodinger equation using the pseudo-harmonic plus harmonic oscillator potentials considering the effect of the external electric and magnetic fields. The finite energy levels and the wave…

量子物理 · 物理学 2019-04-15 Mahdi Eshghi , Sameer M. Ikhdair

We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The…

量子物理 · 物理学 2017-07-17 Przemyslaw Koscik , Anna Okopinska

We use computer simulation to investigate the topology of the potential energy $V(\{{\bf R}\})$ and to search for doublewell potential's (DWP) in a model glass . By a sequence of Newtonian and dissipative dynamics we find different minima…

无序系统与神经网络 · 物理学 2007-05-23 F. Demichelis , G. Viliani , G. Ruocco

We introduce a basis set consisting of three-dimensional Deslauriers--Dubuc wavelets and solve numerically the Schr\"odinger equations of H and He atoms and molecules $\mathrm{H}_2$, $\mathrm{H}_2^+$, and $\mathrm{LiH}$ with HF and DFT…

量子物理 · 物理学 2023-08-08 Tommi Höynälänmaa , Tapio T. Rantala

We report results on the effect of a non-sharp and disordered potential in Quantum Well Infrared Photodetectors (QWIP). Scanning electronic transmission microscopy is used to measure the alloy profile of the structure which is shown to…

Two-dimensional (2D) spectroscopy uses multiple electromagnetic pulses to infer the properties of a complex system. A paradigmatic class of target systems are molecular aggregates, for which one can obtain information on the eigenstates,…

Starting from the semi-classical spectrum of Schr\"odinger operators $-h^2\Delta+V$ (on $\mathbb{R}^n$ or on a Riemannian manifold) it is possible to detect critical levels of the potential $V$. Via micro-local methods one can express…

偏微分方程分析 · 数学 2013-02-25 Brice Camus

We present a simple exact analytical solution, using the Weyl-Titchmarsh-Kodaira spectral theorem, for the spectral function of the one-dimensional diatomic molecule model consisting of two attractive delta function wells in the presence of…

原子物理 · 物理学 2007-05-23 Gerald V. Dunne , Christopher S. Gauthier

The hybrid form is a combination of the Rydberg potential and the London inverse-sixth-power energy. It is accurate at all relevant distance scales and simple enough for use in all-atom simulations of biomolecules. One may compute the…

生物大分子 · 定量生物学 2009-11-13 Kevin Cahill

We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown to include cases…

数学物理 · 物理学 2011-05-06 Nicolás Fernández-García , Oscar Rosas-Ortiz