scholarly journals QUANTUM CORRECTIONS TO THE SEMICLASSICAL QUANTIZATION OF THE SU(3) SHELL MODEL

1995 ◽  
Vol 09 (24) ◽  
pp. 3219-3227 ◽  
Author(s):  
V. R. MANFREDI ◽  
L. SALASNICH
Keyword(s):  
Perturbation Theory ◽  
Shell Model ◽  
Semiclassical Approximation ◽  
Energy Levels ◽  
Quantum Corrections ◽  
Numerical Accuracy ◽  
Quantization Rule ◽  
Semiclassical Quantization ◽  
Canonical Perturbation

We apply the canonical perturbation theory to the semi-quantal Hamiltonian of the SU(3) shell model. Then, we use the Einstein–Brillowin–Keller quantization rule to obtain an analytical semi-quantal formula for the energy levels, which is the usual semiclassical one plus quantum corrections. Finally, a test on the numerical accuracy of the semiclassical approximation and of its quantum corrections is performed.

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

Shell-model study ofS39(β−)39Cl and the energy levels ofCl39

1989 ◽  
Vol 40 (6) ◽  
pp. 2823-2833 ◽  
Author(s):  
E. K. Warburton ◽  
J. A. Becker
Keyword(s):  
Shell Model ◽  
Energy Levels ◽  
Model Study

Calculation of vibrational HDO energy levels: Analysis of perturbation theory series

2013 ◽  
Vol 114 (3) ◽  
pp. 359-367 ◽  
Author(s):  
A. D. Bykov ◽  
K. V. Kalinin ◽  
A. N. Duchko
Keyword(s):  
Perturbation Theory ◽  
Energy Levels ◽  
Theory Series

Remarks on semiclassical quantization rule for broken SUSY

1993 ◽  
Vol 26 (9) ◽  
pp. 2261-2264 ◽  
Author(s):  
A Inomata ◽  
G Junker ◽  
A Suparmi
Keyword(s):  
Quantization Rule ◽  
Semiclassical Quantization

scholarly journals Large Scale Shell Model Calculations of the Negative-Parity States Structure in 24Mg Nucleus

2021 ◽  
Vol 66 (4) ◽  
pp. 293
Author(s):  
A.A. Al-Sammarraie ◽  
F.A. Ahmed ◽  
A.A. Okhunov
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Transition Probabilities ◽  
Transition Probability ◽  
Energy Levels ◽  
Form Factors ◽  
Model Space ◽  
Negative Parity ◽  
Matrix Elements ◽  
Model Calculations

The negative-parity states of 24Mg nucleus are investigated within the shell model. We are based on the calculations of energy levels, total squared form factors, and transition probability using the p-sd-pf (PSDPF) Hamiltonian in a large model space (0 + 1) hW. The comparison between the experimental and theoretical states showed a good agreement within a truncated model space. The PSDPF-based calculations successfully reproduced the data on the total squared form factors and transition probabilities of the negative-parity states in 24Mg nucleus. These quantities depend on the one-body density matrix elements that are obtained from the PSDPF Hamiltonian. The wave functions of radial one-particle matrix elements calculated with the harmonic-oscillator potential are suitable to predict experimental data by changing the center-of-mass corrections.

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