scholarly journals Two-Center Gaussian Potential Well for Studying Light Nucleus in Cluster Structure

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Nafiseh Roshanbakht ◽  
Mohammad Reza Shojaei
Keyword(s):  
Light Nucleus ◽  
Energy Levels ◽  
Cluster Structure ◽  
Spherical Shape ◽  
Light Nuclei ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Potential Well ◽  
Cylindrical Coordinates ◽  
Gaussian Potential

The clustering phenomena are very important to determine structure of light nuclei and deformation of spherical shape is inevitable. Hence, we calculated the energy levels of two-center Gaussian potential well including spin-orbit coupling by solving the Schrödinger equation in the cylindrical coordinates. This model can predict the spin and parity of the light nuclei that have two identical cluster structures.

The cluster model for studying even–even light nuclei

2018 ◽  
Vol 96 (11) ◽  
pp. 1230-1234 ◽  
Author(s):  
Nafiseh Roshanbakht ◽  
Mohammad Reza Shojaei
Keyword(s):  
Excited States ◽  
Cluster Model ◽  
Energy Levels ◽  
Light Nuclei ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Potential Well ◽  
Cylindrical Coordinates ◽  
Well Model ◽  
Center Potential

According to the experimental results, even–even light nuclei have cluster structures at some excited states. To study nuclei having two identical clusters we used a two-center potential well model. We calculated the energy levels by solving the Schrödinger equation and evaluating the effect of spin–orbit coupling in cylindrical coordinates. Finally, the results of calculations were applied for the 8Be isotope.

Ground configuration splitting in UCl5

1977 ◽  
Vol 55 (10) ◽  
pp. 937-942 ◽  
Author(s):  
A. F. Leung ◽  
Ying-Ming Poon
Keyword(s):  
Crystal Field ◽  
Energy Levels ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Coupling Constant ◽  
Point Charge Model ◽  
X Ray Crystallography ◽  
Charge Model ◽  
Crystal Field Parameters

The absorption spectra of UCl5 single crystal were observed in the region between 0.6 and 2.4 μm at room, 77, and 4.2 K temperatures. Five pure electronic transitions were assigned at 11 665, 9772, 8950, 6643, and 4300 cm−1. The energy levels associated with these transitions were identified as the splittings of the 5f1 ground configuration under the influence of the spin–orbit coupling and a crystal field of C2v symmetry. The number of crystal field parameters was reduced by assuming the point-charge model where the positions of the ions were determined by X-ray crystallography. Then, the crystal field parameters and the spin–orbit coupling constant were calculated to be [Formula: see text],[Formula: see text], [Formula: see text], and ξ = 1760 cm−1. The vibronic analysis showed that the 90, 200, and 320 cm−1 modes were similar to the T2u(v6), T1u(v4), and T1u(v3) of an UCl6− octahedron, respectively.

Spin-Orbit Interactions in Semiconductor Quantum Ring in the Presence of Magnetic Field

2019 ◽  
Vol 18 (03n04) ◽  
pp. 1940016
Author(s):  
A. V. Baran ◽  
V. V. Kudryashov
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Constant Magnetic Field ◽  
Energy Levels ◽  
Finite Depth ◽  
Quantum Ring ◽  
Spin Orbit ◽  
Potential Well ◽  
Realistic Potential ◽  
Spin Orbit Interactions

Energy levels of electrons in the semiconductor circular quantum ring are obtained within the framework of perturbation theory in the presence of the Rashba and Dresselhaus spin-orbit interactions and external uniform constant magnetic field. The confinement effect is simulated by the realistic potential well of a finite depth.

ROTATIONAL ENERGY LEVELS OF STATES AND INTENSITIES IN TRANSITIONS: APPLICATIONS TO SOME HEAVIER HYDRIDES

1967 ◽  
Vol 45 (8) ◽  
pp. 2581-2596 ◽  
Author(s):  
I. Kopp ◽  
J. T. Hougen
Keyword(s):  
Energy Levels ◽  
Relative Size ◽  
Orbit Interaction ◽  
Spin Splitting ◽  
Energy Separation ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
First Approximation ◽  
Coupling Case ◽  
Π State

Three topics concerning [Formula: see text] states are discussed: (1) The magnitude of the Ω-type splitting in a [Formula: see text] state arising from a Σ state of even multiplicity has been considered and is found to be given to a first approximation by [Formula: see text]. This result leads to the introduction and discussion of a coupling case (a′) for Σ states. (2) Expressions for the Λ-type splitting in a 2Π state and the spin splitting in a 2Σ state (caused by their mutual interaction via spin-orbit coupling) are derived. These expressions are valid when the rotational intervals are small compared to both the spin-orbit interaction and the 2Π−2Σ energy separation, but do not place any restriction on the relative size of the latter two quantities. (3) Branch intensity expressions are presented which apply to any [Formula: see text] transition in which the [Formula: see text] states are not contaminated (due to uncoupling phenomena) by states having a different value of Ω.

ELECTRONIC PROPERTIES OF A HYDROGENIC IMPURITY IN A QUANTUM WIRE WITH V-SHAPED CROSS-SECTION: SPIN-ORBIT COUPLING, RELATIVISTIC CORRECTION AND CONDUCTANCE

2013 ◽  
Vol 24 (07) ◽  
pp. 1350041 ◽  
Author(s):  
R. KHORDAD ◽  
H. BAHRAMIYAN
Keyword(s):  
Cross Section ◽  
Quantum Wire ◽  
Energy Levels ◽  
Relativistic Correction ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Hydrogenic Impurity ◽  
Mass Approximation ◽  
Shaped Cross Section

The effects of spin-orbit coupling (SOC) and relativistic correction (RC) on the energy levels of a hydrogenic impurity in a GaAs/Ga 1-x Al x As quantum wire are studied. The quantum wire has a V-shaped cross-section and the impurity located in its center. Our numerical calculations have done using a variational procedure within the effective mass approximation. Our results show that (i) the splitting due to the SOC decreases with increasing the wire width, (ii) the SOC and RC increase when the concentration increases, (iii) the SOC is zero for l = 0 (l is angular momentum) and nonzero for l ≠ 0, (iv) for a given wire width, the RC is different for l = 0 and l = 1 due to expectation values of [Formula: see text] and [Formula: see text] (r is distance between the electron and impurity). We also computed the conductance of the quantum wire with and without impurity.

Study on the Absorption Spectra of Ga2Se3:Co2+ Single Crystals

2009 ◽  
Vol 64 (12) ◽  
pp. 834-836
Author(s):  
Chao Ni ◽  
Yi Huang ◽  
Maolu Du
Keyword(s):  
Experimental Data ◽  
Fine Structure ◽  
Bond Length ◽  
Single Crystals ◽  
Crystal Field ◽  
Energy Levels ◽  
Crystal Field Parameter ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Cubic Crystal

Introducing the average covalent factor N and considering the interaction of the cubic crystal field, the spin-orbit coupling and Tree’s correction effects, the crystal field parameter Dq was calculated. Also the varying tendency of Dq with the bond length R was investigated. Using the complete diagonalizing method the energy levels of the fine structure of Ga2Se3:Co2+ single crystal were calculated and assigned. The calculated and assigned results are consistent with the experimental data

scholarly journals Electronic and magnetic properties of two dimensional crystals

2021 ◽  
Author(s):  
◽  
Hani Hatami
Keyword(s):  
Magnetic Properties ◽  
Transport Properties ◽  
Energy Levels ◽  
Bilayer Graphene ◽  
Orbit Coupling ◽  
Monolayer Graphene ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Two Dimensional ◽  
Electronic And Magnetic Properties

<p>In the last few years, two dimensional crystals have become available for experimental studies. Good examples of such systems are monolayers and bilayers of graphene and monolayers of transition metal dichalcogenides such as MoS₂ and WSe₂. The availability of two dimensional crystals has encouraged physicists to study the electronic and magnetic properties of such systems. This thesis adds to the theoretical knowledge about electronic and magnetic properties of two dimensional crystals with the focus on graphene and MoS₂.  As a general theme in this thesis, we calculate how in general these systems interact with electric and magnetic fields and what their response is to such stimuli. In particular, we have studied the response of monolayer graphene to an in-plane electric field. We have also looked at spin-orbit coupling effects that arise from applying perpendicular or in-plane external electric fields, especially their consequences for transport properties of bilayer graphene. We investigated the electronic properties of charge carriers confined in a mesoscopic ring structure using a gate voltage in bilayer graphene. We also showed how spin-orbit coupling can affect the electrical properties of such rings. We found how spin-orbit coupling can affect the transport properties in bilayer graphene. We also investigated the RKKY or indirect exchange coupling between magnetic moments in monolayer MoS₂ through calculating wave vector dependent spin susceptibility.  We examined the electronic properties of electrons and holes confined electrostatically into a bilayer graphene ring. We presented an analytical solution for finding energy levels in the ring. We showed that the magnetic field dependence of the lowest energy level with fixed angular momentum in bilayer graphene rings, in contrast to usual semiconductor quantum rings, is not parabolic but displays an asymmetric “Mexican hat“. We found that introducing spin-orbit coupling in the ring can flatten this Mexican hat.  We studied the effect of an orbital Rashba type effect, induced by an in-plane electric field in monolayer graphene. Using perturbation theory, we showed that this term can affect the energy levels in a crossed electric and magnetic field such that the electron and hole levels repel each other. We calculated the AC transport of monolayer graphene in the linear-response regime and showed that taking the orbital Rashba term into account casts doubt on the universality of the minimum conductivity of monolayer graphene.  We studied the effect of spin-orbit coupling in transport properties of bilayer graphene systems by calculating tunnelling through npn and np junctions. We showed that at sufficiently large spin-orbit strength, normal transmission through a barrier which is forbidden in bilayer graphene becomes finite. We predict that in a weak Rashba spin-orbit regime, outgoing electrons show signals which are spin polarized. We also showed that considering spin-orbit coupling only in the barrier of an npn junction can invert the spin of the incoming electrons.  Finally, we obtained analytical expressions for the wave vector-dependent static spin susceptibility of monolayer transition metal dichalcogenides, considering both the electron-doped and hole-doped cases. These results are then applied to the calculations of physical observables of monolayer MoS₂. We claculated that the hole-mediated RKKY exchange interaction for in-plane impurity-spin components decays with a different power law from what is expected for a two-dimensional Fermi liquid. In contrast, we calculated that the out-of-plane spin response shows the conventional long-range behaviour.</p>

scholarly journals Electronic states and persistent currents in nanowire quantum ring

2018 ◽  
Vol 52 (4) ◽  
pp. 486
Author(s):  
I.A. Kokurin
Keyword(s):  
Magnetic Field ◽  
Energy Levels ◽  
Persistent Current ◽  
Orbit Coupling ◽  
Quantum Ring ◽  
Pure Spin ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Persistent Currents ◽  
The One

AbstractA new model of a quantum ring defined inside a nanowire is proposed. The one-particle Hamiltonian for electron in [111]-oriented nanowire quantum ring is constructed taking into account both Rashba and Dresselhaus spin-orbit coupling. The energy levels as a function of magnetic field are found using the exact numerical diagonalization. The persistent currents (both charge and spin) are calculated. The specificity of spin-orbit coupling and arising anticrossings in energy spectrum lead to unusual features in persistent current behavior. The variation of magnetic field or carrier concentration by means of gates can lead to pure spin persistent current with the charge current being zero.

Infrared and Visible Emission Spectrum of the NO Molecule. The 2Δ–2Π Bands of the 3d–3p and 4d–3p Transitions between Rydberg Complexes

1971 ◽  
Vol 49 (1) ◽  
pp. 76-89 ◽  
Author(s):  
F. Ackermann
Keyword(s):  
High Resolution ◽  
Emission Spectrum ◽  
Rydberg State ◽  
Energy Levels ◽  
Rydberg States ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Rotational Analysis ◽  
Mixed States ◽  
Doublet Splitting

The two mutually related bands B′2Δ–C2Π (7,0) → N2Δ–C2Π (0,0) and N2Δ–C2Π (0,0) → B′2Δ–C2Π (7,0) are observed with high resolution between 6620 and 6520 Å in the emission spectrum of the NO molecule. They are the 2Δ–2Π part of the 4d–3p transitions between the two Rydberg states N2Δ(4dδ) and C2Π (3pπ) of the molecule. A rotational analysis is carried out for both bands, and the very close similarity of the structure of these bands with the structure of the corresponding 2Δ–2Π bands of the 3d–3p transitions, observed in the infrared, is demonstrated. The two upper levels in these nd–3p transitions represent examples of mixed states showing complete changeover with increasing rotation from the Rydberg type with no spin–orbit coupling (AR = 0.00 ± 0.05 cm−1) to an inverted valence type and vice versa. The behavior of the doublet splitting is studied with regard to this changeover. The lower levels of the Rydberg state C2Π also are mixtures with levels of a valence state. The mixing with B2Π (ν = 7) is comparatively small in the C2Π (ν = 0) level, but it strongly affects the energy levels with the lowest J values. The beginning of one of the two bands observed in the visible, therefore, forms the (7,7) band of the system B′2ΔB2Π. Constants of the states involved are determined.

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