Ground-State Energy of an Exciton

1973 ◽  
Vol 51 (10) ◽  
pp. 1104-1108
Author(s):  
M. H. Hawton ◽  
P. K. Dubey ◽  
V. V. Paranjape
Keyword(s):  
Binding Energy ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Conventional Approach ◽  
Phonon Energy ◽  
Energy Ratio

We propose a method which differs from the conventional approach used by several authors for calculating the shift in the ground-state energy, E1s, of an exciton. Our approach allows us to obtain the shift for values of binding-energy-to-phonon-energy ratio, β2, which are not restricted to the range [Formula: see text], as is the case with earlier approaches. In the limit of small β, our result for E1s reduces to the expression derived by earlier authors.

Effects of Temperature and Hydrogen-Like Impurity on the Vibrational Frequency of the Polaron in RbCl Parabolic Quantum Dots

NANO ◽  
2016 ◽  
Vol 11 (03) ◽  
pp. 1650029 ◽  
Author(s):  
Wei Xiao ◽  
Jing-Lin Xiao
Keyword(s):  
Binding Energy ◽  
Ground State Energy ◽  
Ground State ◽  
Vibrational Frequency ◽  
State Energy ◽  
Impurity Potential ◽  
Ground State Binding Energy ◽  
Effects Of Temperature ◽  
Increasing Function ◽  
Coulombic Impurity Potential

The properties of an electron strongly coupled to longitudinal optical (LO) phonon in RbCl parabolic quantum dot (PQD) with a hydrogen-like impurity at the center were investigated at a finite temperature. We have obtained the vibrational frequency of a strong-coupling polaron in RbCl PQD by using linear combination operator method. We then calculate the effects of temperature, the Coulombic impurity potential and the effective confinement strength on the vibrational frequency by using unitary transformation and the quantum statistics theory methods. The influences of the temperature, the Coulombic impurity potential and the effective confinement strength on the ground state energy and the ground state binding energy are also analyzed. The strengths of these quantities increase with raising temperature. The vibrational frequency is an increasing function of the Coulombic impurity potential and the effective confinement strength. The ground state energy is an increasing function of the effective confinement strength, whereas it is a decreasing one of the Coulombic impurity potential. The ground state binding energy is an increasing function of the Coulombic impurity potential, whereas it is a decayed one of the effective confinement strength.

BINDING ENERGY OF A BOUND POLARON IN THE FINITE PARABOLIC QUANTUM WELL

2001 ◽  
Vol 15 (20) ◽  
pp. 827-835 ◽  
Author(s):  
FENG-QI ZHAO ◽  
XI XIA LIANG
Keyword(s):  
Binding Energy ◽  
Quantum Well ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Transition Energy ◽  
Energy Levels ◽  
Phonon Interaction ◽  
Electron Phonon Interaction ◽  
Bound Polaron

We have studied the effect of the electron–phonon interaction on the energy levels of the bound polaron and calculated the ground-state energy, the binding energy of the ground state, and the 1 s → 2 p ± transition energy in the GaAs/Al x Ga 1-x As parabolic quantum well (PQW) structure by using a modified Lee–Low–Pines (LLP) variational method. The numerical results are given and discussed. It is found that the contribution of electron–phonon interaction to the ground-state energy and the binding energy is obvious, especially in large well-width PQWs. The electron–phonon interaction should not be neglected.

THE PROPERTIES OF STRONG-COUPLING IMPURITY BOUND MAGNETOPOLARON IN AN ANISOTROPIC QUANTUM DOT

2011 ◽  
Vol 25 (26) ◽  
pp. 3485-3494 ◽  
Author(s):  
WEI XIAO ◽  
JING-LIN XIAO
Keyword(s):  
Binding Energy ◽  
Ground State Energy ◽  
Ground State ◽  
Coupling Strength ◽  
Vibrational Frequency ◽  
State Energy ◽  
Cyclotron Frequency ◽  
Ground State Binding Energy ◽  
Electron Phonon Coupling ◽  
Increasing Function

We study the vibrational frequency, the ground-state energy and the ground-state binding energy of the strong-coupling impurity bound magnetopolaron in an anisotropic quantum dot. The effects of the transverse and longitudinal effective confinement lengths, the electron–phonon coupling strength, the cyclotron frequency of a magnetic field and the Coulomb bound potential are taken into consideration by using an linear combination operator and unitary transformation methods. It is found that the vibrational frequency, the ground-state energy and the ground-state binding energy will increase rapidly with decreasing confinement lengths. The vibrational frequency is an increasing function of the Coulomb bound potential, the electron–phonon coupling strength and cyclotron frequency, whereas the ground-state energy is a decreasing function of the potential and coupling strength, and the ground-state binding energy is an increasing function of the potential and coupling strength. The ground-state energy and the ground-state binding energy increases with increasing cyclotron frequency.

scholarly journals Estimation of Minimal Length Using Binding Energy of Deuteron

2018 ◽  
Vol 10 (2) ◽  
pp. 99-103 ◽  
Author(s):  
M. Moniruzzaman ◽  
S. B. Faruque
Keyword(s):  
Binding Energy ◽  
Uncertainty Principle ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Yukawa Potential ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Binding Force

We find the shift of ground state energy of deuteron caused by generalized uncertainty principle (GUP) using Yukawa potential as the binding force between the proton and neutron. This leads to an upperbound on minimal length of about 10 -18 m which is close to the values frequently found in literature.

Ground state energy, binding energy, and the impurity-specific heat of the Anderson–Holstein model

2015 ◽  
Vol 93 (10) ◽  
pp. 1024-1029 ◽  
Author(s):  
Ch. Narasimha Raju ◽  
Ashok Chatterjee
Keyword(s):  
Binding Energy ◽  
Specific Heat ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Electron Phonon Interaction ◽  
Holstein Model

A single-level Anderson–Holstein model is studied using the Lang–Firsov transformation followed by a zero-phonon averaging and a Green function method within the framework of a mean-field approximation. The ground state energy of the system, the binding energy between the impurity and conduction electrons, and the impurity–electron spectral function are calculated. The effect of the electron–phonon interaction on the local moment as well as on the specific heat of the impurity electron is explored in the anti-adiabatic regime.

The ground state energy of the ±J spin glass from the genetic algorithm

1994 ◽  
Vol 4 (9) ◽  
pp. 1281-1285 ◽  
Author(s):  
P. Sutton ◽  
D. L. Hunter ◽  
N. Jan
Keyword(s):  
Genetic Algorithm ◽  
Spin Glass ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy
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