scholarly journals Observation of ultra-fine structures in energy levels of prolate nuclei

2018 ◽  
Vol 96 (9) ◽  
pp. 1059-1062 ◽  
Author(s):  
Hassan Hassanabadi ◽  
Hadi Sobhani
Keyword(s):  
Energy Spectrum ◽  
Commutation Relation ◽  
Atomic Physics ◽  
Nuclear Physics ◽  
Energy Levels ◽  
Zeeman Effect ◽  
Three Dimensions ◽  
Energy Splitting ◽  
Commutation Relations ◽  
Fine Structures

This work discusses the observation of splitting in the energy levels of prolate nuclei. Similar effects in atomic physics are known as the Zeeman effect, but in nuclear physics the feasibility of such phenomena has not been observed. After introducing a deformation in the commutation relation in three dimensions, we used these commutation relations in X(3) model. After enough derivation, we then evaluate the energy spectrum relation for the considered system, which has resulted in energy splitting. With these observations in the energy splitting we referred to such an effect as the ultra-fine structures in energy levels. At the end some plots have been depicted to illustrate the results.

Effects of non-commutative phase-space on prolate nuclei in the presence of Coulomb interaction

2019 ◽  
Vol 34 (34) ◽  
pp. 1950279
Author(s):  
Hadi Sobhani ◽  
Hassan Hassanabadi ◽  
Won Sang Chung
Keyword(s):  
Phase Space ◽  
Coulomb Interaction ◽  
Atomic Physics ◽  
Zeeman Effect ◽  
Fine Structures

In this paper, we have shown how ultra-fine structures in prolate nuclei can be seen. Ultra-fine structures can be interpreted as a nuclear version of the Zeeman effect in atomic physics. Because this effect is so tiny, we called it Ultra-Fine Structures in the nuclei. This effect appears while non-commutative phase-space is considered. After considering non-commutative phase-space for Davydov–Chaban Hamiltonian for prolate nuclei, the effects of Coulomb interaction are studied.

HAPPER'S CURIOUS DEGENERACIES AND YANGIAN

2002 ◽  
Vol 16 (14n15) ◽  
pp. 1867-1873 ◽  
Author(s):  
CHENG-MING BAI ◽  
MO-LIN GE ◽  
KANG XUE
Keyword(s):  
Representation Theory ◽  
Algebraic Structure ◽  
Zeeman Effect ◽  
Tensor Space ◽  
Commutation Relations ◽  
Raising And Lowering Operators ◽  
Degenerate States ◽  
Lowering Operators

We find raising and lowering operators distinguishing the degenerate states for the Hamiltonian [Formula: see text] at x = ± 1 for spin 1 that was given by Happer et al.1,2 to interpret the curious degeneracies of the Zeeman effect for condensed vapor of 87 Rb . The operators obey Yangian commutation relations. We show that the curious degeneracies seem to verify the Yangian algebraic structure for quantum tensor space and are consistent with the representation theory of Y(sl(2)).

scholarly journals Deformation of the Wheeler–DeWitt equation

2014 ◽  
Vol 29 (20) ◽  
pp. 1450106 ◽  
Author(s):  
Mir Faizal
Keyword(s):  
Commutation Relation ◽  
Canonical Commutation Relation ◽  
Big Bang ◽  
Minimum Length ◽  
Second Quantization ◽  
Canonical Commutation Relations ◽  
Commutation Relations ◽  
The Big Bang ◽  
Big Bang Singularity ◽  
Modified Theory

In this paper, we will analyze the consequences of deforming the canonical commutation relations consistent with the existence of a minimum length and a maximum momentum. We first generalize the deformation of first quantized canonical commutation relation to second quantized canonical commutation relation. Thus, we arrive at a modified version of second quantization. A modified Wheeler–DeWitt equation will be constructed by using this deformed second quantized canonical commutation relation. Finally, we demonstrate that in this modified theory the big bang singularity gets naturally avoided.

scholarly journals APAPES - Atomic Physics with Accelerators: Projectile Electron Spectroscopy

2019 ◽  
Vol 21 ◽  
pp. 153
Author(s):  
I. Madesis ◽  
A. Lagoyannis ◽  
M. Axiotis ◽  
T. J. Mertzimekis ◽  
M. Andrianis ◽  
...  
Keyword(s):  
Atomic Physics ◽  
Nuclear Physics ◽  
Strong Field ◽  
Ion Beam ◽  
Strong Support ◽  
Heavy Ion ◽  
Collision Dynamics ◽  
Atomic Collisions ◽  
Zero Degree ◽  
Gas Targets

The only existing heavy-ion accelerator in Greece, the 5.5 MV TANDEM at the National Research Center “Demokritos” in Athens has been used to date primarily for investigations centering around nuclear physics. Here, we propose to establish the new (for Greece) discipline of Atomic Physics with Accelerators, a strong field in the EU with important contributions to fusion, hot plasmas, astrophysics, accelerator technology and basic atomic physics of ion-atom collision dynamics, structure and technology. This will be accomplished by combining the existing interdisciplinary atomic collisions expertise from three Greek universities, the strong support of distinguished foreign researchers and the high technical ion-beam know-how of the TANDEM group into a cohesive initiative.Using the technique of Zero-degree Auger Projectile Spectroscopy (ZAPS), we shall complete a much needed systematic isoelectronic investigation of K-Auger spectra emitted from collisions of pre-excited ions with gas targets using novel techniques. Our results are expected to lead to a deeper understanding of the neglected importance of cascade feeding of metastable states [1] in collisions of ions with gas targets and further elucidate their role in the non-statistical production of excited three-electron states by electron capture, recently a field of conflicting interpretations awaiting further resolution.

Introduction

1958 ◽  
Vol 246 (1247) ◽  
pp. 441-443 ◽  
Keyword(s):  
Atomic Physics ◽  
Nuclear Physics ◽  
Classical Physics ◽  
Left Handed ◽  
Physical Apparatus ◽  
High Degree ◽  
Very High

Although the discussion today is intended to be technical, it may be useful to start with a few words about the nature of the problem. What is parity and what is its violation ? Basically, this means going back to the principle that the laws of physics are indistinguishable if one changes from a right-handed to a left-handed co-ordinate system, or in other words, that any physical apparatus observed in a mirror will appear to obey the same laws of physics as the original. We are well aware of the fact that this symmetry holds wherever we have checked it throughout classical physics; it holds throughout atomic physics, and it seems to hold to a very good degree of accuracy in nuclear physics as well. In physics we always proceed by attempting generalizations, being prepared to give these up when evidence is in contradiction with them; and therefore in general when we see a symmetry hold good to a very high degree of accuracy, we are inclined to assume that it will hold absolutely.

Shape coexistence in $^{76}$Se within the neutron-proton interacting boson model

2021 ◽  
Author(s):  
Chengfu Mu ◽  
Dali Zhang
Keyword(s):  
Experimental Data ◽  
Energy Spectrum ◽  
Excitation Energy ◽  
Energy Levels ◽  
Spherical Shape ◽  
Interacting Boson Model ◽  
Shape Coexistence ◽  
Electromagnetic Transition ◽  
Boson Model ◽  
Good Agreement

Abstract We have investigated the low-lying energy spectrum and electromagnetic transition strengths in even-even $^{76}$Se using the proton-neutron interacting boson model (IBM-2). The theoretical calculation for the energy levels and $E2$ and $M1$ transition strengths is in good agreement with the experimental data. Especially, the excitation energy and $E2$ transition of $0^+_2$ state, which is intimately associated with shape coexistence, can be well reproduced. The analysis on low-lying states and some key structure indicators indicates that there is a coexistence between spherical shape and $\gamma$-soft shape in $^{76}$Se.

Perturbative calculation of energy levels for the Dirac equation with generalized momenta

2020 ◽  
Vol 35 (20) ◽  
pp. 2050106
Author(s):  
Marco Maceda ◽  
Jairo Villafuerte-Lara
Keyword(s):  
Dirac Equation ◽  
Uncertainty Principle ◽  
Energy Levels ◽  
Generalized Uncertainty Principle ◽  
Spatial Dimension ◽  
Three Dimensions ◽  
Minimum Length ◽  
Linear Potential ◽  
Perturbative Calculation ◽  
Square Well

We analyze a modified Dirac equation based on a noncommutative structure in phase space originating from a generalized uncertainty principle with a minimum length. The noncommutative structure induces generalized momenta and contributions to the energy levels of the standard Dirac equation. Applying techniques of perturbation theory, we find the lowest-order corrections to the energy levels and eigenfunctions of the Dirac equation in three dimensions for a spherically symmetric linear potential and for a square-well times triangular potential along one spatial dimension. We find that the corrections due to the noncommutative contributions may be of the same order as the relativistic ones, leading to an upper bound on the parameter fixing the minimum length induced by the generalized uncertainty principle.

Energy spectrum and wavefunction of electrons in hybrid superconducting nanowires

2016 ◽  
Vol 30 (13) ◽  
pp. 1642008 ◽  
Author(s):  
S. P. Kruchinin
Keyword(s):  
Energy Spectrum ◽  
Energy Levels ◽  
Superconducting Nanowires ◽  
Quantum Energy ◽  
Close Proximity ◽  
Superconducting Nanowire

Recent experiments have fabricated structured arrays. We study hybrid nanowires, in which normal and superconducting regions are in close proximity, by using the Bogoliubov–de Gennes equations for superconductivity in a cylindrical nanowire. We succeed to obtain the quantum energy levels and wavefunctions of a superconducting nanowire. The obtained spectra of electrons remind Hofstadter’s butterfly.

scholarly journals A q-OSCILLATOR WITH "ACCIDENTAL" DEGENERACY OF ENERGY LEVELS

2007 ◽  
Vol 22 (13) ◽  
pp. 949-960 ◽  
Author(s):  
A. M. GAVRILIK ◽  
A. P. REBESH
Keyword(s):  
Lie Algebra ◽  
Commutation Relation ◽  
Deformation Parameter ◽  
Uncertainty Relation ◽  
Energy Levels ◽  
The State ◽  
The Real ◽  
Simple Lie Algebra ◽  
Accidental Degeneracy ◽  
Real Value

We study main features of the exotic case of q-deformed oscillators (so-called Tamm–Dancoff cutoff oscillator) and find some special properties: (i) degeneracy of the energy levels En1 = En1 + 1, n1 ≥ 1, at the real value[Formula: see text] of deformation parameter, as well as the occurrence of other degeneracies En1 = En1 + k, for k ≥ 2, at the corresponding values of q which depend on both n1 and k; (ii) the position and momentum operators X and Pcommute on the state|n1> if q is fixed as [Formula: see text], that implies unusual uncertainty relation; (iii) two commuting copies of the creation, annihilation, and number operators of this q-oscillator generate the corresponding q-deformation of the non-simple Lie algebra su(2) ⊕ u(1)whose nontrivial q-deformed commutation relation is: [J+, J-] = 2J0q2J3-1 where [Formula: see text] and [Formula: see text].

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