Effective Quantum Number for Centrally Symmetric Potentials

2002 ◽  
pp. 403-410 ◽  
Author(s):  
Yu. V. Tarbeyev ◽  
N. N. Trunov ◽  
A. A. Lobashev ◽  
V. V. Kukhar
Keyword(s):  
Quantum Number ◽  
Centrally Symmetric ◽  
Effective Quantum Number

scholarly journals Symmetry-tailored patterns and polarizations of single-photon emission

Nanophotonics ◽  
2020 ◽  
Vol 9 (11) ◽  
pp. 3557-3565
Author(s):  
Guorui Zhang ◽  
Ying Gu ◽  
Qihuang Gong ◽  
Jianjun Chen
Keyword(s):  
Single Photon ◽  
Photon Emission ◽  
Silver Nanowire ◽  
Emission Rates ◽  
Single Photon Emission ◽  
Emission Pattern ◽  
Single Photon Emitters ◽  
Resonant Modes ◽  
Oriented Dipole ◽  
Centrally Symmetric

AbstractDue to small optical mode volumes and linear polarizations of surface-plasmon-polariton (SPP) resonant modes in metallic antennas, it is very difficult to obtain complex emission patterns and polarizations for single-photon emitters. Herein, nonresonant enhancement in a silver nanowire is used to both enhance emission rates and extract a z-oriented dipole, and then the symmetry of metallic nanostructures is proposed to tailor the patterns and polarizations of single-photon emission. The emission pattern of a quantum dot located close to a metallic nanostructure with a symmetric axis is split into multiple flaps. The number of splitting flaps is equal to the order of the symmetric axis. Moreover, the electric vectors of the emitted photons become centrally symmetric about the symmetric axis. The above phenomena are well explained by both a simulation and an image dipole model. The structural-symmetry-tailoring mechanism may open up a new avenue in the design of multifunctional and novel quantum-plasmonic devices.

scholarly journals Isolated core excitation of high-orbital-quantum-number Rydberg states of ytterbium

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Henri Lehec ◽  
Xin Hua ◽  
Pierre Pillet ◽  
Patrick Cheinet
Keyword(s):  
Quantum Number ◽  
Rydberg States ◽  
Core Excitation ◽  
Orbital Quantum Number

scholarly journals Dirac Equation under Scalar and Vector Generalized Isotonic Oscillators and Cornell Tensor Interaction

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
Akpan N. Ikot ◽  
S. Zarrinkamar
Keyword(s):  
Dirac Equation ◽  
Quantum Number ◽  
Tensor Interaction ◽  
Cornell Potential ◽  
Ansatz Approach ◽  
Potential Parameters ◽  
Arbitrary Quantum

Spin and pseudospin symmetries of Dirac equation are solved under scalar and vector generalized isotonic oscillators and Cornell potential as a tensor interaction for arbitrary quantum number via the analytical ansatz approach. The spectrum of the system is numerically reported for typical values of the potential parameters.

scholarly journals Probability backflow and a new dimensionless quantum number

1994 ◽  
Vol 27 (6) ◽  
pp. 2197-2211 ◽  
Author(s):  
A J Bracken ◽  
G F Melloy
Keyword(s):  
Quantum Number

A quasi-classical trajectory study of the reagent initial rotation quantum state effect on the reaction He + T2+ → HeT+ + T using an improved ab initio potential energy surface

2012 ◽  
Vol 90 (2) ◽  
pp. 230-236 ◽  
Author(s):  
Ningjiu Zhao ◽  
Yufang Liu
Keyword(s):  
Angular Momentum ◽  
Potential Energy ◽  
Potential Energy Surface ◽  
Quantum Number ◽  
Relative Velocity ◽  
Energy Surface ◽  
Rotational Quantum Number ◽  
Chem Phys ◽  
Classical Trajectory ◽  
Positive Direction

In this work, we employed the quasi-classical trajectory (QCT) method to study the vector correlations and the influence of the reagent initial rotational quantum number j for the reaction He + T2+ (v = 0, j = 0–3) → HeT+ + T on a new potential energy surface (PES). The PES was improved by Aquilanti co-workers (Chem. Phys. Lett. 2009. 469: 26–30). The polarization-dependent differential cross sections (PDDCSs) and the distributions of P(θr), P([Formula: see text]r), and P(θr, [Formula: see text]r) are presented in this work. The plots of the PDDCSs provide us with abundant information about the distribution of the product angular momentum polarization. The P(θr) is used to describe the correlation between k (the relative velocity of the reagent) and j′ (the product rotational angular momentum). The distribution of dihedral angle P([Formula: see text]r) shows the k–k′–j′ (k′ refers to the relative velocity of the product) correlation. The PDDCS calculations illustrate that the product of this reaction is mainly backward scatter and it has the strongest polarization in the backward and sideways scattering directions. At the same time, the results of the P([Formula: see text]r) demonstrate that the product HeT+ tends to be oriented along the positive direction of the y axis and it tends to rotate right-handedly in planes parallel to the scattering plane. Moreover, the distribution of the P(θr) manifests that the product angular momentum is aligned along different directions relative to k. The direction of the product alignment may be perpendicular, opposite, or parallel to k. Moreover, our calculations are independent of the initial rotational quantum number.

Zur Kenntnis der Dihalogen-tris-(4-dimethylamino-phenyl)-Verbindungen von Phosphor, Arsen, Antimon und Wismut / Dihalogeno-tris- (4-dimethylamino-phenyl) -Compounds of Phosphorus, Arsenic, Antimony, and Bismuth

1972 ◽  
Vol 27 (6) ◽  
pp. 591-595 ◽  
Author(s):  
Jörn-Michael Keck ◽  
Günter Klar
Keyword(s):  
Chemical Shift ◽  
Quantum Number ◽  
Principal Quantum Number ◽  
Valence Electrons ◽  
Phenyl Compounds ◽  
Atomic Parameters

The synthesis of the dihalogeno-tris-(4-dimethylamino-phenyl)-compounds Ar2EX2 (E = P, As, Sb; X = Cl, Br, J and E = Sb, X = F; E = Bi, X = Cl) is described. A generally valid correlation between the chemical shift of the n.m.r. signal of an atom and the atomic parameters electronegativity and principal quantum number of valence electrons is deduced.

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