scholarly journals From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions

2018 ◽  
Vol 97 (2) ◽  
Author(s):  
A. V. Afanasjev ◽  
H. Abusara
Keyword(s):  
Single Particle ◽  
Wave Functions ◽  
Nodal Structure ◽  
Nuclear Molecules

scholarly journals Cluster structures, ellipsoidal shapes and nuclear molecules in light A = 12-50 nuclei

2018 ◽  
Vol 194 ◽  
pp. 06001 ◽  
Author(s):  
A.V. Afanasjev
Keyword(s):  
Single Particle ◽  
Density Functional ◽  
Particle Density ◽  
Critical Role ◽  
Microscopic Mechanism ◽  
Nodal Structure ◽  
Density Distributions ◽  
Single Particle Density ◽  
Nuclear Molecules ◽  
Covariant Density

The transition from cluster structures to extremely elongated ellipsoidal shapes and nuclear molecules in light A=12-50 (N~Z) nuclei has been studied within the framework of covariant density functional theory. Nodal structure of the occupied single-particle states plays a critical role in microscopic understanding of this transition. This is illustrated by the analysis of dominant types of single-particle density distributions and their evolution (from the bottom of nucleonic potential) with deformation and particle number. The microscopic mechanism of the transition from clustered structures to ellipsoidal shapes and nuclear molecules and between them is discussed.

scholarly journals Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 408
Author(s):  
Matteo Villani ◽  
Guillermo Albareda ◽  
Carlos Destefani ◽  
Xavier Cartoixà ◽  
Xavier Oriols
Keyword(s):  
Single Particle ◽  
Degrees Of Freedom ◽  
Single Photon ◽  
Open Quantum Systems ◽  
Wave Functions ◽  
Practical Application ◽  
Light Matter Interaction ◽  
Pure States ◽  
Energy And Momentum ◽  
Full Quantum

Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light–matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).

scholarly journals Role of Single-Particle Energies in Microscopic Interacting Boson Model Double Beta Decay Calculations

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 66
Author(s):  
Jenni Kotila
Keyword(s):  
Beta Decay ◽  
Single Particle ◽  
Field Potential ◽  
Double Beta Decay ◽  
Interacting Boson Model ◽  
Model Calculations ◽  
Single Particle Level ◽  
Particle Level ◽  
Boson Model

Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.

scholarly journals Temperature-Induced Plasmon Excitations for the α–T3 Lattice in Perpendicular Magnetic Field

Nanomaterials ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 1720
Author(s):  
Antonios Balassis ◽  
Godfrey Gumbs ◽  
Oleksiy Roslyak
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Zeeman Splitting ◽  
Mass Term ◽  
Energy Dispersive Spectrum ◽  
Wave Functions ◽  
Transition Energies ◽  
Gap Opening ◽  
Quantizing Magnetic Field

We have investigated the α–T3 model in the presence of a mass term which opens a gap in the energy dispersive spectrum, as well as under a uniform perpendicular quantizing magnetic field. The gap opening mass term plays the role of Zeeman splitting at low magnetic fields for this pseudospin-1 system, and, as a consequence, we are able to compare physical properties of the the α–T3 model at low and high magnetic fields. Specifically, we explore the magnetoplasmon dispersion relation in these two extreme limits. Central to the calculation of these collective modes is the dielectric function which is determined by the polarizability of the system. This latter function is generated by transition energies between subband states, as well as the overlap of their wave functions.

The role of single-particle density in chemistry

1981 ◽  
Vol 53 (1) ◽  
pp. 95-126 ◽  
Author(s):  
Anjuli S. Bamzai ◽  
B. M. Deb
Keyword(s):  
Single Particle ◽  
Particle Density ◽  
Single Particle Density
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