scholarly journals Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators

2017 ◽  
Vol 96 (24) ◽  
Author(s):  
Wladimir A. Benalcazar ◽  
B. Andrei Bernevig ◽  
Taylor L. Hughes
Keyword(s):  
Multipole Moment ◽  
Multipole Moments ◽  
Electric Multipole Moments

ON THE EQUALITY OF ELECTRIC MULTIPOLE MOMENT EXPECTATION VALUES FOR SINGLE-PARTICLE STATES WITH EQUAL TOTAL ANGULAR MOMENTUM

1993 ◽  
Vol 02 (04) ◽  
pp. 893-898
Author(s):  
HARRY A. MAVROMATIS
Keyword(s):  
Angular Momentum ◽  
Single Particle ◽  
Total Angular Momentum ◽  
Electric Quadrupole ◽  
Multipole Moment ◽  
Multipole Moments ◽  
Expectation Value ◽  
Electric Multipole Moments ◽  
Electric Multipole Moment ◽  
Electric Multipoles

The expectation value of single-particle electric multipole moments is shown to be independent of the orbital angular momentum for pairs with the same total angular momentum. Thus, the well-known equality of the expectation value of the electric quadrupole moment of such pairs is shown to extend to all electric multipoles.

scholarly journals Numerical Calculation of Energy Eigen-values of the Hydrogen Negative Ion in the 2p^2 Configuration by Using the Variational Method

2020 ◽  
Vol 24 (1) ◽  
pp. 30
Author(s):  
Yosef Robertus Utomo ◽  
Guntur Maruto ◽  
Agung Bambang Setio Utomo ◽  
Pekik Nurwantoro ◽  
Sholihun Sholihun
Keyword(s):  
Numerical Calculation ◽  
Variational Method ◽  
Trial Function ◽  
Hydrogen Molecule ◽  
Negative Ion ◽  
Multipole Moments ◽  
A Value ◽  
Eigen Value ◽  
Eigen Values ◽  
Electric Multipole Moments

Calculation of energy eigen value of hydrogen negative ion (H − ) in 2p^2 configuration using the method of variation functions has been done. A work on H − can lead to calculations of electric multipole moments of a hydrogen molecule. The trial function is a linear combination of 8 expansion terms each of which is related to the Chandrasekhar’s basis. This work produces a series of 7 energy eigen values which converges to a value of −0.2468 whereas the value of this convergence is expected to be −0.2523. This deviation from the expected value is mainly due to the elimination of interelectronic distance (u) coordinate. The values of the exponent parameters used in this work contribute also to this deviation. This variational method will be applied to the construction of some energy eigen functions of Hv2 .

Calculation of molecular electric multipole moments

1985 ◽  
Vol 25 (6) ◽  
pp. 951-953 ◽  
Author(s):  
I. I. Guseinov ◽  
T. M. Mursalov ◽  
V. T. Aliev
Keyword(s):  
Multipole Moments ◽  
Electric Multipole Moments

scholarly journals Interação quadrupolar e sua correlação com o efeito Mössbauer

1982 ◽  
Vol 4 (4) ◽  
pp. 01
Author(s):  
Sylvestre Schneider
Keyword(s):  
Moment Tensor ◽  
Energy Levels ◽  
Multipole Expansion ◽  
Multipole Moment ◽  
Quadrupolar Interaction ◽  
Matrix Elements ◽  
Multipole Moments ◽  
Classical Charge ◽  
The Matrix ◽  
Mechanical Expression

By means multipole expansion, we guess the concept of "multipole moment". They are given examples of multipole moments. We start of them to define the "quadruploe moment tensor". By starting from the classical chargedents distribution of loads ρ (r-> ') and from the potencial expanded in a Taylor series, in which one one of the terms allows us to see the quadrupole moment, we construct a classical Hamiltonian in terms of quadrupole. The quantum-mechanical expression ĤQ por HQ is given, by substitution of the classical charge density ρ (r->) by an operator ρ (op), which describes adequately the real configuration in a non-continuous charge distribution. By use of the Clebsh-Gordan tecnology-coefficients with the irredutible tensors, the matrix-elements of ĤQ was calculated. The relation develloped, which allows the calcule of the matrix-elements of ĤQ, this is used for an application to a specific case, of a strong mafnetic field exerted on an atom. It is obtained a particular relation, for calculating the energy levels of quadrupolar interaction. The sequente purpose was to work out an application for an atom or ion in the fundamental staton 2S1/2, and nuclear spin 3/2 in a strong magnetic field.The results was a splitting in energy levels for the quadrupolar interaction. The quadrupolar interaction was examined in correlation of the Mössbauer-Effect in different examples.

On the Electric Multipole Moments of Carbon Monoxide

1992 ◽  
Vol 47 (3) ◽  
pp. 480-484 ◽  
Author(s):  
George Maroulis
Keyword(s):  
Carbon Monoxide ◽  
Perturbation Theory ◽  
Finite Field ◽  
Electric Dipole ◽  
Multipole Moments ◽  
Electric Multipole Moments ◽  
Plesset Perturbation Theory

Abstract The electric dipole, quadrupole, octopole and hexadecapole moment of carbon monoxide has been obtained from finite-field SCF and Moeller-Plesset perturbation theory calculations. The resulting values for the octopole and hexadecapole moments of CO(X1 Σ+ ) are 3.59 eao3 and - 9.01 eao4 respectively

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