A Single-Band Constant-Confining-Potential Model for Self-Assembled InAs/GaAs Quantum Dots

2000 ◽  
Vol 642 ◽  
Author(s):  
M. Califano ◽  
P. Harrison
Keyword(s):  
Quantum Dots ◽  
Bound States ◽  
State Energy ◽  
Potential Model ◽  
Photoluminescence Spectra ◽  
Energy Eigenvalues ◽  
Confining Potential ◽  
Band Mixing ◽  
Structure Calculations ◽  
Good Agreement

ABSTRACTA simple and versatile numerical method for electronic structure calculations in InAs pyramidal dots is presented, and its predictions compared with both theoretical and experimental data. The calculated ground state energy eigenvalues agree well with those of more sophisticated treatments which take into account band mixing and the microscopic effects of the strain distribution. The number of electron bound states predicted is in excellent agreement with very recent calculations for strained quantum dots performed in the framework of the 8-band k · p theory. Very good agreement is obtained with both the number and the energy of the peaks in several experimental photoluminescence spectra. Furthermore our ca agreement with that deduced from capacitance and photoluminescence measurements.

LONG-RANGE POTENTIAL AND TWO GLUINO BOUND STATES

1987 ◽  
Vol 02 (03) ◽  
pp. 183-191 ◽  
Author(s):  
S. GHOSH ◽  
A.K. ROY ◽  
S. MUKHERJEE
Keyword(s):  
Wave Function ◽  
Long Range ◽  
General Class ◽  
Bound States ◽  
Potential Model ◽  
Confining Potential ◽  
Range Potential ◽  
Decay Widths

The effect of the long-range confining potential on the two gluino bound states has been studied in a particular potential model. Some useful inequalities for the value of the wave function at the origin, [Formula: see text] have been derived for a more general class of potentials. The results will be useful for estimating various decay widths.

Dirac Bound States of the Killingbeck Potential Under External Magnetic Fields

2015 ◽  
Vol 70 (7) ◽  
pp. 499-505 ◽  
Author(s):  
Zahra Sharifi ◽  
Fateme Tajic ◽  
Majid Hamzavi ◽  
Sameer M. Ikhdair
Keyword(s):  
Wave Function ◽  
Magnetic Fields ◽  
Ground State ◽  
Bound States ◽  
State Energy ◽  
Potential Model ◽  
Energy Levels ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
Ansatz Method

AbstractThe Killingbeck potential model is used to study the influence of the external magnetic and Aharanov–Bohm (AB) flux fields on the splitting of the Dirac energy levels in a 2+1 dimensions. The ground state energy eigenvalue and its corresponding two spinor components wave functions are investigated in the presence of the spin and pseudo-spin symmetric limit as well as external fields using the wave function ansatz method.

scholarly journals Spin Splitting Spectroscopy of Heavy Quark and Antiquarks Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Hesham Mansour ◽  
Ahmed Gamal ◽  
M. Abolmahassen
Keyword(s):  
Mass Spectra ◽  
Bound States ◽  
Good Accuracy ◽  
Theoretical Calculations ◽  
Spin Splitting ◽  
Energy Eigenvalues ◽  
Central Case ◽  
Nu Method ◽  
Better Than ◽  
Good Agreement

Phenomenological potentials describe the quarkonium systems like c c ¯ , b b , ¯   and   b ¯ c where they give a good accuracy for the mass spectra. In the present work, we extend one of our previous works in the central case by adding spin-dependent terms to allow for relativistic corrections. By using such terms, we get better accuracy than previous theoretical calculations. In the present work, the mass spectra of the bound states of heavy quarks   c c ¯ , b b ¯ , and 𝐵𝑐 mesons are studied within the framework of the nonrelativistic Schrödinger equation. First, we solve Schrödinger’s equation by Nikiforov-Uvarov (NU) method. The energy eigenvalues are presented using our new potential. The results obtained are in good agreement with the experimental data and are better than the previous theoretical estimates.

Single-centre expansions for the hydrogen molecular ion. II

1962 ◽  
Vol 58 (1) ◽  
pp. 130-135 ◽  
Author(s):  
M. Cohen
Keyword(s):  
Ground State ◽  
State Energy ◽  
Internuclear Separation ◽  
Single Centre ◽  
Eigenvalues And Eigenfunctions ◽  
Exact Wave Function ◽  
Radial Functions ◽  
Energy Eigenvalues ◽  
Energy Eigenvalues And Eigenfunctions ◽  
Good Agreement

In an earlier paper (Cohen and Coulson(3), referred to hereafter as I), it was shown that satisfactory energy eigenvalues and eigenfunctions for various even σ-states of may be obtained using a single-centre expansion, provided that the radial functions are properly determined. In particular, the ground-state energy at the equilibrium internuclear separation of 2 a.u. was found to be within 0·25% of the exact value (Bates, Ledsham and Stewart (2)), and the eigenfunction reproduced all the characteristics of the exact wave-function. The method has now been extended to the odd σ-states, as well as to the two lowest π-states (2pπu, 3dπg), and the results are in good agreement with the calculations of Bates et al.

On charmonium decays

1981 ◽  
Vol 59 (12) ◽  
pp. 1944-1947 ◽  
Author(s):  
D. Parashar
Keyword(s):  
Experimental Data ◽  
Bound States ◽  
Potential Model ◽  
Decay Rates ◽  
Hadronic Decay ◽  
Confining Potential ◽  
S States

The decay rates of charmonium ([Formula: see text]bound states) are studied in the context of a simple quark confining potential model proposed earlier. In particular, we calculate the leptonic and hadronic decay rates of the S-states and a comparison is made with the available experimental data. The model prescriptions are then applied to predict the decay rates of the P-states of charmonium which are found to be consistent with other theoretical expectations.

SEMI-RELATIVISTIC SOLUTIONS OF THE TWO-BODY SPINLESS SALPETER EQUATION UNDER THE WOODS–SAXON POTENTIAL AND THE PEKERIS APPROXIMATION

2013 ◽  
Vol 22 (06) ◽  
pp. 1350039 ◽  
Author(s):  
H. FEIZI ◽  
M. HOSEININAVEH ◽  
A. H. RANJBAR
Keyword(s):  
Particle Physics ◽  
Nuclear Physics ◽  
Bound States ◽  
State Energy ◽  
Bound State ◽  
Wave Functions ◽  
Shape Invariance ◽  
Energy Eigenvalues ◽  
Elementary Particle Physics ◽  
Pekeris Approximation

In this paper, by applying the Pekeris approximation and in the frame of Supersymmetric Quantum Mechanics (SUSYQM), the semi-relativistic solutions of the two-body spinless Salpeter equation are obtained analytically. For an interaction of nuclear form, we obtain the approximate bound-state energy eigenvalues and the corresponding wave functions using the shape invariance concept. The solutions are reported for any l state and some energy eigenvalues are given. These results are useful in elementary-particle physics and nuclear physics to obtain the bound states spectra of relativistic systems such as fermion–antifermion systems.

scholarly journals Antiproton–nucleus quasi-bound states within the 2009 version of the Paris N̅ N potential

2018 ◽  
Vol 181 ◽  
pp. 01007
Author(s):  
Jaroslava Hrtánková ◽  
JiřrÍ Mareš
Keyword(s):  
Scattering Amplitudes ◽  
Density Dependence ◽  
Bound States ◽  
Optical Potential ◽  
Potential Model ◽  
Binding Energies ◽  
Wave Potential ◽  
Strong Energy ◽  
Good Agreement ◽  
Rmf Model

We studied the p̅ interactions with the nuclear medium within the 2009 version of the Paris N̅ N potential model. We constructed the p̅–nucleus optical potential using the Paris S - and P-wave p̅ N scattering amplitudes and treated their strong energy and density dependence self-consistently. We considereda phenomenological P-wave term as well. We calculated p̅ binding energies and widths of the p̅ bound in various nuclei. The P-wave potential has very small effect on the calculated p̅ binding energies, however, it reduces the corresponding widths noticeably. Moreover, the S -wave potential based on the Paris amplitudes supplemented by a phenomenological P-wave term yields the p̅ binding energies and widths in very good agreement with those obtained within the RMF model consistent with p̅-atom data.

scholarly journals THE SEMIRELATIVISTIC EQUATION VIA THE SHIFTED-l EXPANSION TECHNIQUE

2001 ◽  
Vol 16 (12) ◽  
pp. 2195-2204 ◽  
Author(s):  
T. BARAKAT
Keyword(s):  
Ground State ◽  
Bound States ◽  
Wave Equations ◽  
State Energy ◽  
Wave Functions ◽  
Energy Problem ◽  
Energy Eigenvalues ◽  
Relativistic Corrections ◽  
Expansion Technique ◽  
The Right

The semirelativistic wave equation which appears in the theory of relativistic quark–antiquark bound states, is cast into a constituent second order Schrödinger-like equation with the inclusion of relativistic corrections up to order (v/c)2 in the quarks speeds. The resulting equation is solved via the Shifted-l expansion technique (SLET), which has been recently developed to get eigenvalues and wave functions of relativistic and nonrelativistic wave equations. The Coulomb, Oscillator, and the Coulomb-plus-linear potentials used in [Formula: see text] phenomenology are tested. It is observed that, the energy eigenvalues can be explained well upon the more commonly used nonrelativistic models, when such a dynamical relativistic corrections are introduced. In particular, it provides a remarkable accurate and simple analytic expression for the Coulomb ground-state energy problem, a result which is in the right direction at least to serve as a test of this approach.

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