An irreducible tensor method of deriving the long‐range anisotropic interactions between molecules of arbitrary symmetry

1980 ◽  
Vol 72 (6) ◽  
pp. 3472-3482 ◽  
Author(s):  
Richard P. Leavitt
Keyword(s):  
Long Range ◽  
Irreducible Tensor ◽  
Tensor Method ◽  
Anisotropic Interactions

scholarly journals Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices

Quantum ◽  
2018 ◽  
Vol 2 ◽  
pp. 97 ◽  
Author(s):  
A. González-Tudela ◽  
J. I. Cirac
Keyword(s):  
Quantum Optics ◽  
Spectral Density ◽  
Long Range ◽  
Photon Energy ◽  
Optical Lattices ◽  
Cold Atoms ◽  
Three Dimensional ◽  
Collective Effects ◽  
State Dependent ◽  
Anisotropic Interactions

Quantum emitters coupled to structured photonic reservoirs experience unconventional individual and collective dynamics emerging from the interplay between dimensionality and non-trivial photon energy dispersions. In this work, we systematically study several paradigmatic three dimensional structured baths with qualitative differences in their bath spectral density. We discover non-Markovian individual and collective effects absent in simplified descriptions, such as perfect subradiant states or long-range anisotropic interactions. Furthermore, we show how to implement these models using only cold atoms in state-dependent optical lattices and show how this unconventional dynamics can be observed with these systems.

Matrix elements of the proton–neutron symplectic model

2018 ◽  
Vol 27 (03) ◽  
pp. 1850021 ◽  
Author(s):  
H. G. Ganev
Keyword(s):  
Shell Model ◽  
Long Range ◽  
Coupling Scheme ◽  
Model Coupling ◽  
Matrix Elements ◽  
Irreducible Tensor ◽  
Physical Operator ◽  
Major Shell ◽  
The Matrix ◽  
Transition Operators

The tensor properties of the [Formula: see text] algebra generators are determined in respect to the reduction chain [Formula: see text], which defines a shell-model coupling scheme of the proton–neutron symplectic model (PNSM). They are further used to calculate the matrix elements of the basic [Formula: see text] operators of the PNSM in the space of fully symmetric representations in the [Formula: see text]-coupled basis using a generalized Wigner–Eckart theorem. The obtained results allow further the matrix elements of any physical operator of interest, such as the relevant transition operators or the collective potential, to be calculated. As an illustration, the matrix elements of the basic irreducible tensor terms which appear in the [Formula: see text] decomposition of the long-range full major-shell mixing proton–neutron quadrupole–quadrupole interaction are presented.

Fast tensor method for summation of long-range potentials on 3D lattices with defects

2015 ◽  
Vol 23 (2) ◽  
pp. 249-271 ◽  
Author(s):  
Venera Khoromskaia ◽  
Boris N. Khoromskij
Keyword(s):  
Long Range ◽  
Tensor Method

Experimental investigation of the reaction of helium ions with dimethyl ether: stereodynamics of the dissociative charge exchange process

2017 ◽  
Vol 19 (30) ◽  
pp. 19554-19565 ◽  
Author(s):  
Andrea Cernuto ◽  
Paolo Tosi ◽  
Luca Matteo Martini ◽  
Fernando Pirani ◽  
Daniela Ascenzi
Keyword(s):  
Experimental Investigation ◽  
Molecular Orbital ◽  
Long Range ◽  
Dimethyl Ether ◽  
Charge Exchange ◽  
Exchange Process ◽  
Helium Ions ◽  
Orbital Symmetry ◽  
Charge Exchange Process ◽  
Anisotropic Interactions

Long range anisotropic interactions and molecular orbital symmetry rule the dynamics of an astrochemically relevant dissociative charge-exchange process.

On the sudden Limit in the Capture of Particles for Long-Range Anisotropic Interactions

2002 ◽  
Vol 216 (5) ◽  
Author(s):  
E.I. Dashevskaya ◽  
A. I. Maergoiz ◽  
V.G. Ushakov
Keyword(s):  
Long Range ◽  
Cross Sections ◽  
Capture Cross ◽  
Anisotropic Interaction ◽  
Anisotropic Interactions ◽  
Capture Cross Sections

The capture cross sections and rigidity factors for atom-linear rotor anisotropic interaction proportional to

Irreducible tensor method and its application

1988 ◽  
Vol 60 (8) ◽  
pp. 1163-1166
Author(s):  
B. F. Li ◽  
H. X. Liu ◽  
B. Y. Bai ◽  
C. C. Sun ◽  
A. C. Tang
Keyword(s):  
Irreducible Tensor ◽  
Tensor Method
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