Excited-state energy eigenvalue and wave-function evaluation of the Gaussian symmetric double-well potential problem via numerical shooting method 1

2012 ◽  
Vol 50 (6) ◽  
pp. 1582-1597 ◽  
Author(s):  
Sutee Boonchui ◽  
Artit Hutem
Keyword(s):  
Wave Function ◽  
Excited State ◽  
Shooting Method ◽  
State Energy ◽  
Potential Problem ◽  
Energy Eigenvalue ◽  
Function Evaluation ◽  
Excited State Energy ◽  
Numerical Shooting Method ◽  
Double Well Potential

scholarly journals Excited-State Energy Eigenvalue Evaluation of the Quantum Mechanical Potential V(x)=½mω2x2+μx3 via Numerical Shooting Method

2016 ◽  
Vol 855 ◽  
pp. 184-187
Author(s):  
Nonglux Sriboonrueang ◽  
Sanit Suwanwong ◽  
Artit Hutem
Keyword(s):  
Wave Function ◽  
Excited State ◽  
Single Particle ◽  
Shooting Method ◽  
State Energy ◽  
Energy Eigenvalue ◽  
Quantum Mechanical ◽  
Excited State Energy ◽  
Energy Eigenvalues ◽  
Numerical Shooting Method

The paper deals with eigenvalues excited-state energy eigenvalues and wave-function of a particle under harmonics oscillator asymmetric potential using numerical shooting method. The numerical shooting method is generally regarded as one of the most efficient methods that give very accurate results because it integrates the Schrodinger equation directly, though in the numerical sense. If the value of parameter μ is small the energy eigenvalues of single particle will large and the parameter μ large the energy eigenvalues of single particle will small.

scholarly journals Evaluated Excited-State Time-Independent Correlation Function and Eigenfunction of the Harmonics Oscillator Cosine Asymmetric Potential via Numerical Shooting Method

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Artit Hutem ◽  
Piyarut Moonsri
Keyword(s):  
Correlation Function ◽  
Density Fluctuation ◽  
Shooting Method ◽  
State Energy ◽  
Energy Eigenvalue ◽  
Computational Effort ◽  
Atomic Density ◽  
Excite State ◽  
Numerical Shooting Method ◽  
Problem Comparison

We aimed to evaluate the ground-state and excite-state energy eigenvalue (En), wave function, and the time-independent correlation function of the atomic density fluctuation of a particle under the harmonics oscillator Cosine asymmetric potential (Saad et al. 2013). Instead of using the 6-point kernel of 4 Green’s function (Cherroret and Skipetrov, 2008), averaged over disorder, we use the numerical shooting method (NSM) to solve the Schrödinger equation of quantum mechanics system with Cosine asymmetric potential. Since our approach does not use complicated formulas, it requires much less computational effort when compared to the Green functions techniques (Cherroret and Skipetrov, 2008). We show that the idea of the program of evaluating time-independent correlation function of atomic density is underdamped motion for the Cosine asymmetric potential from the numerical shooting method of this problem. Comparison of the time-independent correlation function obtained from numerical shooting method by Boonchui and Hutem (2012) and correlation function experiment by Kasprzak et al. (2008). We show the intensity of atomic density fluctuation (δn(x)=n~(x)-m~(x)) in harmonics oscillator Cosine asymmetric potential by numerical shooting method.

TRANSITION FREQUENCY OF STRONG-COUPLING IMPURITY BOUND POLARON IN AN ASYMMETRIC QUANTUM DOT

2012 ◽  
Vol 11 (03) ◽  
pp. 1250026 ◽  
Author(s):  
CHENG-SHUN WANG ◽  
YU-FANG CHEN ◽  
JING-JIN XIAO
Keyword(s):  
Excited State ◽  
Coupling Strength ◽  
State Energy ◽  
Transition Frequency ◽  
Phonon Coupling ◽  
Excited State Energy ◽  
Bound Polaron ◽  
Asymmetric Quantum Dot ◽  
Asymmetric Quantum ◽  
Electron Phonon Coupling

Properties of the excited state of strong-coupling impurity bound polaron in an asymmetric quantum dot are studied by using linear combination operator and unitary transformation methods. The first internal excited state energy, the excitation energy and the transition frequency between the first internal excited and the ground states of the impurity bound polaron as functions of the transverse and the longitudinal effective confinement lengths of the dot, the electron–phonon coupling strength and the Coulomb bound potential were derived. Our numerical results show that they will increase with decreasing the effective confinement lengths, due to interesting quantum size confining effects. But they are an increasing functions of the Coulomb bound potential. The first internal excited state energy is a decreasing function of the electron–phonon coupling strength whereas the transition frequency and the excitation energy are an increasing one of the electron–phonon coupling strength.

Excited-State Energy-Transfer Dynamics in Self-Assembled Triads Composed of Two Porphyrins and an Intervening Bis(dipyrrinato)metal Complex

2003 ◽  
Vol 42 (21) ◽  
pp. 6629-6647 ◽  
Author(s):  
Lianhe Yu ◽  
Kannan Muthukumaran ◽  
Igor V. Sazanovich ◽  
Christine Kirmaier ◽  
Eve Hindin ◽  
...  
Keyword(s):  
Energy Transfer ◽  
Excited State ◽  
Metal Complex ◽  
State Energy ◽  
Excited State Energy ◽  
Self Assembled

scholarly journals Mono- Versus Bicyclic Carbene Metal Amide Photoemitters: Which Design Leads to Best Performance?

2020 ◽  
Author(s):  
Florian Chotard ◽  
Vasily Sivchik ◽  
Mikko Linnolahti ◽  
Manfred Bochmann ◽  
Alexander Romanov
Keyword(s):  
Excited State ◽  
State Energy ◽  
Conformational Flexibility ◽  
Quantum Yields ◽  
Carbene Ligands ◽  
Lumo Energy ◽  
Excited State Energy ◽  
Excited State Lifetimes

New luminescent “carbene-metal-amide” (CMA) Cu, Ag and Au complexes based on monocyclic (C6) or bicyclic six-ring (BIC6) cyclic (alkyl)(amino)carbene ligands illustrates the effects of LUMO energy stabilization, conformational flexibility and excited state energy on the photoemission properties, leading to near-quantitative quantum yields, short excited state lifetimes Cu > Au > Ag down to 0.5 µs and high radiative rates of 10<sup>6</sup> s<sup>–1</sup>.

Porphyrin Antennas on Carbon Nanodots: Excited State Energy and Electron Transduction

2017 ◽  
Vol 56 (40) ◽  
pp. 12097-12101 ◽  
Author(s):  
Francesca Arcudi ◽  
Volker Strauss ◽  
Luka Đorđević ◽  
Alejandro Cadranel ◽  
Dirk M. Guldi ◽  
...  
Keyword(s):  
Excited State ◽  
State Energy ◽  
Carbon Nanodots ◽  
Excited State Energy

Evaluation of AlGaAs/GaAs Heterointerface by Shubnikov-de Haas Oscillation Measurements

1986 ◽  
Vol 77 ◽  
Author(s):  
Kazumi Kasai ◽  
H. Tanaka ◽  
H. Itoh ◽  
T. Oh-Hori ◽  
M. Takikawa ◽  
...  
Keyword(s):  
Excited State ◽  
State Energy ◽  
Energy Levels ◽  
Interface Model ◽  
Dimensional Electron ◽  
Excited State Energy ◽  
Haas Oscillation ◽  
First Excited State ◽  
A New Technique

ABSTRACTThe measurement of Shubnikov-de Haas(SdH) oscillation is proposed as a new technique for evaluating the quality of a heterointerface. The first excited state of 2-dimensional electron energy levels is determined for several samples using the measurements of SdH oscillation. Lower values of the first excited state energy are found for the samples with a low mobility. The low value can be approximately explained in terms of graded interface model.

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