scholarly journals Influence of retardation on the vibrational wave function and binding energy of the helium dimer

1993 ◽  
Vol 98 (12) ◽  
pp. 9687-9690 ◽  
Author(s):  
Fei Luo ◽  
Geunsik Kim ◽  
George C. McBane ◽  
Clayton F. Giese ◽  
W. Ronald Gentry
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Vibrational Wave Function

scholarly journals POSITRONIUM DECAY: GAUGE INVARIANCE AND ANALYTICITY

2002 ◽  
Vol 17 (10) ◽  
pp. 1355-1398 ◽  
Author(s):  
J. PESTIEAU ◽  
C. SMITH ◽  
S. TRINE
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Binding Energy ◽  
Gauge Invariance ◽  
Dispersion Relations ◽  
Decay Rates ◽  
Effective Form ◽  
Theoretical Predictions ◽  
Positronium Decay ◽  
Analysis Of Binding Energy

The construction of positronium decay amplitudes is handled through the use of dispersion relations. In this way, emphasis is put on basic QED principles: gauge invariance and soft-photon limits (analyticity).A firm grounding is given to the factorization approaches, and some ambiguities in the spin and energy structures of the positronium wave function are removed. Nonfactorizable amplitudes are naturally introduced. Their dynamics are described, especially regarding the enforcement of gauge invariance and analyticity through delicate interferences. The important question of the completeness of the present theoretical predictions for the decay rates is then addressed. Indeed, some of those nonfactorizable contributions are unaccounted for by NRQED analyses. However, it is shown that such new contributions are highly suppressed, being of [Formula: see text].Finally, a particular effective form factor formalism is constructed for parapositronium, allowing a thorough analysis of binding energy effects and analyticity implementation.

scholarly journals Hydrogenic-Donor Impurity Binding Energy Dependence of the Electric Field in GaAs/AlxGa1−xAs Quantum Rings

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Guangxin Wang ◽  
Xiuzhi Duan ◽  
Wei Chen
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Electric Field ◽  
Applied Electric Field ◽  
Donor Impurity ◽  
Electronic Wave ◽  
Hydrogenic Donor Impurity ◽  
Hydrogenic Donor ◽  
Electronic Wave Function ◽  
Radial Thickness

Using a variational method with two-parameter trial wave function and the effective mass approximation, the binding energy of a donor impurity in GaAs/AlxGa1−xAs cylindrical quantum ring (QR) subjected to an external field is calculated. It is shown that the donor impurity binding energy is highly dependent on the QR structure parameters (radial thickness and height), impurity position, and external electric field. The binding energy increases inchmeal as the QR parameters (radial thickness and height) decrease until a maximum value for a central impurity and then begins to drop quickly. The applied electric field can significantly modify the spread of electronic wave function in the QR and shift electronic wave function from the donor position and then leads to binding energy changes. In addition, results for the binding energies of a hydrogenic donor impurity as functions of the impurity position and applied electric field are also presented.

Exciton wave function, binding energy, and lifetime in InAs/GaSb coupled quantum wells

2000 ◽  
Vol 61 (4) ◽  
pp. 2874-2887 ◽  
Author(s):  
S. de-Leon ◽  
B. Laikhtman
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Quantum Wells ◽  
Coupled Quantum Wells ◽  
Exciton Wave Function

Triton binding energy and the deuteron wave function

1974 ◽  
Vol 11 (3) ◽  
pp. 238-242 ◽  
Author(s):  
H. de Groot ◽  
H. J. Boersma
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Deuteron Wave Function ◽  
Triton Binding Energy

Momentum distribution in molecular systems

1941 ◽  
Vol 37 (4) ◽  
pp. 397-405 ◽  
Author(s):  
W. E. Duncanson
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Momentum Distribution ◽  
Wave Functions ◽  
Appreciable Change ◽  
Hydrogen Molecular Ion ◽  
Molecular Ion ◽  
Molecular Systems ◽  
Similar Work ◽  
The One

The momentum distribution for the electron in the hydrogen molecular ion has been calculated for various wave functions, including the one used by James with which he obtained such a good value for the binding energy. The method adopted for this particular wave function is outlined and the results show appreciable change with improvement in the wave function. In conclusion there are discussed the implications of the present calculations on similar work on the H2 molecule.

scholarly journals Partly non-local potentials in the model triton

1977 ◽  
Vol 55 (10) ◽  
pp. 884-897 ◽  
Author(s):  
Dale D. Ellis
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Deuteron Wave Function ◽  
Form Factors ◽  
Zero Energy ◽  
Normalization Constant ◽  
Separable Potentials ◽  
Non Local ◽  
Local Potentials ◽  
Asymptotic Normalization Constant

Binding energy, ET, wave function, form factor, and asymptotic normalization constant, CT, have been calculated for the model triton using two classes of phase equivalent potentials: partly non-local (PNL) potentials, and rank-two separable potentials. The results are compared with those of Fiedeldey. The binding energy is sensitive to the deuteron wave function and zero-energy wound integral. The triton form factors depend on ET and the deuteron wave function. CT is almost insensitive to variations in the PNL potentials, but increases with ET for the separable potentials.

scholarly journals Calculation of Binding Energy and Wave Function for Exotic Hidden-Charm Pentaquark

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
F. Chezani Sharahi ◽  
M. Monemzadeh
Keyword(s):  
Wave Function ◽  
Binding Energy ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Bound State ◽  
The Other

In this study, pentaquark P c 4380 composed of a baryon Σ c , and a D ¯ ∗ meson is considered. Pentaquark is as a bound state of two-body systems composed of a baryon and a meson. The calculated potential will be expanded and replaced in the Schrödinger equation until tenth sentences of expansion. Solving the Schrödinger equation with the expanded potential of Pentaquark leads to an analytically complete approach. As a consequence, the binding energy E B of pentaquark P c and wave function is obtained. The results E B will be presented in the form of tables so that we can review the existence of pentaquark P c . Then, the wave function will be shown on diagrams. Finally, the calculated results are compared with the other obtained results, and the mass of observing pentaquark P c and the radius of pentaquark are estimated.

Exact Numerical Procedure for the Binding Energy of Hydrogen Impurities in Quantum Dots with Parabolic Confinements

2013 ◽  
Vol 475-476 ◽  
pp. 1355-1358
Author(s):  
Arnold Abramov
Keyword(s):  
Quantum Dots ◽  
Wave Function ◽  
Binding Energy ◽  
Quantum Dot ◽  
Excited States ◽  
Ground State ◽  
Qualitative Agreement ◽  
Numerical Procedure ◽  
Impurity States ◽  
Parabolic Confinement

In this paper we present exact numerical procedure to calculate the binding energy and wave function of impurity states in a quantum dot with parabolic confinement. The developed method allows control the accuracy of obtained results, as well as calculates the characteristics of not only ground state, but also of the excited states. Comparison of our results with data obtained by other methods is in quantitative and qualitative agreement. We studied the effects of impurity position on the binding energy.

EXCITON CONFINEMENT IN SEMICONDUCTOR MULTIPLE QUANTUM WELLS

1990 ◽  
Vol 04 (15n16) ◽  
pp. 2345-2356
Author(s):  
Y. FU ◽  
K. A. CHAO
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Binding Energy ◽  
Quantum Wells ◽  
Multiple Quantum Well ◽  
Three Dimensional ◽  
Exciton Binding Energy ◽  
Multiple Quantum ◽  
Two Dimensional ◽  
Barrier Width

Exciton binding energy in semiconductor multiple quantum well (MQW) systems is analyzed with both the variational method and the perturbation theory. The intrinsic deficiency of the use of the two-dimensional exciton envelop wave function is clearly demonstrated. Using a GaAs/Al x Ga 1−xAs MQW as an example to calculate the exciton binding energy with a variational three-dimensional trial envelop function, we found that in many realistic samples the spatial extension of an exciton covers a region of several lattice constant dA + dB, where dA is the barrier width and dB is the well width.

Calculation of the vibrational wave function of polyatomic molecules

2000 ◽  
Vol 112 (6) ◽  
pp. 2655-2667 ◽  
Author(s):  
Per-Olof Åstrand ◽  
Kenneth Ruud ◽  
Peter R. Taylor
Keyword(s):  
Wave Function ◽  
Polyatomic Molecules ◽  
Vibrational Wave Function
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