Derivation of shell effects and magic numbers in metal clusters by the application of Strutinsky's method to the Clemenger-Nilsson andq-deformed 3-D harmonic oscillator models

2002 ◽  
Vol 89 (4) ◽  
pp. 377-388 ◽  
Author(s):  
D. Bonatsos ◽  
A. I. Kuleff ◽  
J. Maruani ◽  
P. P. Raychev ◽  
P. A. Terziev
Keyword(s):  
Harmonic Oscillator ◽  
Metal Clusters ◽  
Magic Numbers ◽  
Shell Effects ◽  
Oscillator Models

scholarly journals The 3-dimensional q-deformed harmonic oscillator and magic numbers of alkali metal clusters

1999 ◽  
Vol 302 (5-6) ◽  
pp. 392-398 ◽  
Author(s):  
Dennis Bonatsos ◽  
N. Karoussos ◽  
P.P. Raychev ◽  
R.P. Roussev ◽  
P.A. Terziev
Keyword(s):  
Alkali Metal ◽  
Harmonic Oscillator ◽  
Metal Clusters ◽  
Magic Numbers ◽  
3 Dimensional ◽  
Alkali Metal Clusters

scholarly journals Unified description of magic numbers of metal clusters in terms of the three-dimensionalq-deformed harmonic oscillator

2000 ◽  
Vol 62 (1) ◽  
Author(s):  
Dennis Bonatsos ◽  
N. Karoussos ◽  
D. Lenis ◽  
P. P. Raychev ◽  
R. P. Roussev ◽  
...  
Keyword(s):  
Harmonic Oscillator ◽  
Metal Clusters ◽  
Magic Numbers ◽  
Unified Description

scholarly journals A Simplified Analytic Treatment of Shell-Effects in Metal Clusters

2020 ◽  
Vol 13 ◽  
pp. 229
Author(s):  
B. A. Kotsos ◽  
M. E. Grypeos
Keyword(s):  
Harmonic Oscillator ◽  
Spherical Harmonic ◽  
Metal Clusters ◽  
Jellium Model ◽  
Analytic Treatment ◽  
Physical Interest ◽  
Shell Effects ◽  
Valence Electrons ◽  
Approximate Scheme

A simplified treatment of shell-effects in metal clusters, such as those of Na, is considered. This treatment is carried out by means of an approximate scheme based on the spherical harmonic oscillator jellium model and its advantage is that it suggests the possibility quantities of physical interest to be calculated analytically. As a result, the variation of these quantities with the number of the valence electrons of the atoms in the cluster could be given explicitly in certain cases.

scholarly journals The 3-Dimensional g-Deformed Harmonic Oscillator and a Unified Description of Magic Numbers of Metal Clusters

2019 ◽  
Vol 10 ◽  
pp. 215
Author(s):  
N. Karoussos ◽  
Dennis Bonatsos ◽  
P. P. Raychev ◽  
R. P. Roussev
Keyword(s):  
Harmonic Oscillator ◽  
Noble Metals ◽  
Alkali Metals ◽  
Metal Clusters ◽  
Magic Numbers ◽  
Divalent Metals ◽  
3 Dimensional ◽  
Theoretical Predictions ◽  
Alkali Metal Clusters ◽  
Trivalent Metals

Magic numbers predicted by a 3-dimensional (/-deformed harmonic oscillator with u9(3) D soq(3) symmetry are compared to experimental data for atomic clusters of alkali metals (Li, Na, K, Rb, Cs), noble metals (Cu, Ag, Au), divalent metals (Zn, Cd), and trivalent metals (Al, In), as well as to theoretical predictions of jellium models, Woods-Saxon and wine bottle potentials, and to the classification scheme using the 3n + / pseudo quantum number. In alkali metal clusters and noble metal clusters the 3-dimensional çr-deformed harmonic oscillator correctly predicts all experimentally observed magic numbers up to 1500 (which is the expected limit of validity for theories based on the filling of electronic shells), while in addition it gives satisfactory results for the magic numbers of clusters of divalent metals and trivalent metals, thus indicating that ug(3), which is a nonlinear extension of the u(3) symmetry of the spherical (3-dimensional isotropic) harmonic oscillator, is a good candidate for being the symmetry of systems of several metal clusters.

Shell effects in photoionization spectra of heavy trivalent metal clusters

1993 ◽  
Vol 26 (S1) ◽  
pp. 137-139 ◽  
Author(s):  
M. Pellarin ◽  
B. Baguenard ◽  
C. Bordas ◽  
M. Broyer ◽  
J. Lerm� ◽  
...  
Keyword(s):  
Metal Clusters ◽  
Trivalent Metal ◽  
Shell Effects

scholarly journals How do we infer shell effects at high-excitation energies? A new spectroscopic probe to search for magic numbers

2019 ◽  
Vol 223 ◽  
pp. 01045 ◽  
Author(s):  
Cebo Ngwetsheni ◽  
José Nicolás Orce
Keyword(s):  
Gamma Ray ◽  
Strength Function ◽  
Dipole Polarizability ◽  
Magic Numbers ◽  
Data Sets ◽  
High Excitation ◽  
Excitation Energies ◽  
Long Range Correlations ◽  
Shell Effects ◽  
Spectroscopic Probe

The nuclear dipole polarizability is mainly governed by the dynamics of the giant dipole resonance and, assuming validity of the brink-Axel hypothesis, has been investigated along with the effects of the low-energy enhancement of the photon strength function for nuclides in medium- and heavy-mass nuclei. Cubic-polynomial fitsto both data sets extrapolated down to a gamma-ray energy of 0.1 MeV show a significantreduction of the nuclear dipole polarizability for semi-magic nuclei, with magic numbers N =28, 50 and 82, which supports shell effects at high-excitation energies in the the quasi-continuum region. This work assigns σ-2 values as sensitive measures of long-range correlations of the nuclear force and provides a new spectroscopic probe to search for “old” and “new” magic numbers at high-excitation energies.

scholarly journals (1+1)-Dirac bound states in one dimension, with position-dependent Fermi velocity and mass

Open Physics ◽  
2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Omar Mustafa
Keyword(s):  
Harmonic Oscillator ◽  
Bound States ◽  
Bound State ◽  
One Dimension ◽  
Fermi Velocity ◽  
Dirac Particles ◽  
The Continuum ◽  
Oscillator Models

AbstractWe extend Panella and Roy’s [17] work for massless Dirac particles with position-dependent (PD) velocity. We consider Dirac particles where the mass and velocity are both position-dependent. Bound states in the continuum (BIC)-like and discrete bound state solutions are reported. It is observed that BIC-like solutions are not only feasible for the ultra-relativistic (massless) Dirac particles but also for Dirac particles with PDmass and PD-velocity that satisfy the condition m(x) v F2 (x) = A, where A ≥ 0 is constant. Dirac Pöschl-Teller and harmonic oscillator models are also reported.

Čebyšev mixing and harmonic oscillator models

1981 ◽  
Vol 85 (2) ◽  
pp. 61-63 ◽  
Author(s):  
T. Erber ◽  
P. Johnson ◽  
P. Everett
Keyword(s):  
Harmonic Oscillator ◽  
Oscillator Models

scholarly journals An atomistic interpretation of Planck's 1900 derivation of his radiation law.

2000 ◽  
Vol 53 (2) ◽  
pp. 193 ◽  
Author(s):  
F. E. Irons
Keyword(s):  
Harmonic Oscillator ◽  
Quantum States ◽  
Max Planck ◽  
Simple Harmonic Oscillator ◽  
Cavity Modes ◽  
Oscillator Models

In deriving his radiation law in 1900, Max Planck employed a simple harmonic oscillator to model the exchange of energy between radiation and matter. Traditionally the harmonic oscillator has been viewed as modelling an entity which is itself oscillating, although a suitable oscillating entity has not been forthcoming. (Opinion is divided between a material oscillator, an imaginary oscillator and a need to revise Planck"s derivation to apply to cavity modes of oscillation). We offer a novel, atomistic interpretation of Planck"s derivation wherein the harmonic oscillator models a transition between the internal quantum states of an atom|not a normal electronic atom characterised by possible energies 0 and hv, but an atom populated by subatomic bosons (such as pions) and characterised by multiple occupancy of quantum states and possible energies nhv (n= 0;1;2; :::). We show how Planck"s derivation can be varied to accommodate electronic atoms. A corollary to the atomistic interpretation is that Planck"s derivation can no longer be construed as support for the postulate that material oscillating entities can have only those energies that are multiples of hv.

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