The harmonic oscillator energy level spacing for neutrons and protons in nuclei

1992 ◽  
Vol 344 (1) ◽  
pp. 17-19 ◽  
Author(s):  
G. A. Lalazissis ◽  
C. P. Panos
Keyword(s):  
Energy Level ◽  
Harmonic Oscillator ◽  
Level Spacing

The dependence of the harmonic oscillator energy level spacing on the mass number of nuclei

1983 ◽  
Vol 121 (2-3) ◽  
pp. 91-95 ◽  
Author(s):  
C.B. Daskaloyannis ◽  
M.E. Grypeos ◽  
C.G. Koutroulos ◽  
S.E. Massen ◽  
D.S. Saloupis
Keyword(s):  
Energy Level ◽  
Harmonic Oscillator ◽  
Mass Number ◽  
Level Spacing

scholarly journals The variation of the Ηωwith the particle number and the appearance of "kinks" for atomic clusters

2020 ◽  
Vol 9 ◽  
pp. 306
Author(s):  
B. A. Kotsos ◽  
M. E. Grypeos
Keyword(s):  
Energy Level ◽  
Harmonic Oscillator ◽  
Particle Number ◽  
Atomic Clusters ◽  
Level Spacing ◽  
Fermi Distribution ◽  
Sodium Clusters ◽  
Electronic Densities ◽  
Closed Shells

The dependence of the harmonic oscillator (HO) energy level spacing Ηω on the particle number Ν is studied analytically for atomic clusters on the basis of their electronic densities, parametrizing Ekardt's results (for sodium clusters) by means of a Fermi distribution. An interesting feature of such an approach is that it leads, under the assumptions made, to "kinks", that is to "marked discontinuities in the slope" of Ηω at the closed shells. These discontinuities diminish as Ν increases.

scholarly journals The harmonic oscillator energy level spacing for neutrons and protons in nuclei

2019 ◽  
Vol 3 ◽  
pp. 76
Author(s):  
G. A. Lalazissis ◽  
C. P. Panos
Keyword(s):  
Energy Level ◽  
Harmonic Oscillator ◽  
Density Distribution ◽  
Periodic Table ◽  
Neutron Number ◽  
Level Spacing ◽  
Proton Number ◽  
The Difference ◽  
Closed Shells ◽  
Approximate Expressions

Approximate expressions of hw for neutrons and protons separately, as functions of the neutron number Ν and the proton number Ζ respectively, are derived. The dependence of hωn{hωp) on N(Z) is established using a rather recently proposed semi-phenomenological density distribution based on the separation energies of the last neutron or proton. The corresponding curves of hω show "discontinuities in the slope" at the closed shells throughout the periodic table. The difference hωn — hωΛ is also discussed

scholarly journals The oscillator spacing of nuclei as function of Ν and Ζ

2020 ◽  
Vol 6 ◽  
pp. 212
Author(s):  
G. A. Lalazissis ◽  
C. P. Panos
Keyword(s):  
Energy Level ◽  
Harmonic Oscillator ◽  
Mean Square ◽  
Level Spacing ◽  
Neutron Excess ◽  
Asymptotic Formulae ◽  
The Mean ◽  
Isospin Dependence ◽  
Better Than

New improved expressions for the harmonic oscillator energy level spacing Κω as function of Ν and Ζ are derived. The isospin dependence is introduced by using new expressions for the mean square radius of nuclei, which fit the experimental mean square radii and the isotopie shifts of even-even nuclei much better than other frequently used relations. The effect of the neutron excess an hω is studied. Very accurate approximate asymptotic formulae for Ηω are also derived, which are suitable for practical use.

scholarly journals Determination of the Harmonic Oscillator Energy Level Spacing for Atomic Clusters

2019 ◽  
Vol 7 ◽  
pp. 63
Author(s):  
M. E. Grypeos ◽  
B. A. Kotsos
Keyword(s):  
Energy Level ◽  
Harmonic Oscillator ◽  
Particle Number ◽  
Model Potential ◽  
Atomic Clusters ◽  
Level Spacing ◽  
Jellium Model ◽  
Sodium Clusters ◽  
Good Agreement

The harmonic oscillator energy level spacing Κω for atomic clusters as a function of the particle number Ν is expressed analytically in terms of the parameters of a Woods-Saxon (or Symmetrized Woods-Saxon) potential which approximates the effective spherical self-consistent jellium model potential. The expressions derived depend an the particular scheme adopted to approximate the potential by the harmonic oscillator one and on the assumed dependence of the potential radius R on N. It is also observed, considering the case of sodium clusters,that for large Ν the expressions of Ηω are in good agreement with the well known expression of Ηω in terms of the Wigner-Seitz radius.

ENERGY SPECTRAL STATISTICS IN THE QUANTUM SYSTEM WITH TWO PARTICLES

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2740-2744 ◽  
Author(s):  
SHIPING YANG ◽  
GUOYONG YUAN ◽  
ZHE LI ◽  
HONG CHANG ◽  
DE LIU
Keyword(s):  
Energy Level ◽  
Quantum System ◽  
Quantum Chaos ◽  
Level Spacing ◽  
Tunnelling Effect ◽  
Spectral Statistics

In this paper, the quantum system with two particles is analyzed and the energy level spacing statistics distribution and Δ3-statistic are given. The results show that hard quantum chaos appear in the system with a certain potential. Tunnelling effect develops quantum chaos.

Quantum mechanics on (anti)-de Sitter background II: Ramsauer–Townsend effect and WKB method

2018 ◽  
Vol 33 (26) ◽  
pp. 1850150 ◽  
Author(s):  
Won Sang Chung ◽  
Hassan Hassanabadi
Keyword(s):  
Quantum Mechanics ◽  
Energy Level ◽  
Harmonic Oscillator ◽  
Wkb Method ◽  
De Sitter ◽  
Quantum Harmonic Oscillator ◽  
One Dimensional ◽  
Sitter Background ◽  
The One

Based on the one-dimensional quantum mechanics on (anti)-de Sitter background [W. S. Chung and H. Hassanabadi, Mod. Phys. Lett. A 32, 26 (2107)], we discuss the Ramsauer–Townsend effect. We also formulate the WKB method for the quantum mechanics on (anti)-de Sitter background to discuss the energy level of the quantum harmonic oscillator and quantum bouncer.

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