scholarly journals Coupling schemes for two-particle operator used in atomic calculations

2007 ◽  
Vol 47 (3) ◽  
pp. 255-266 ◽  
Author(s):  
R. Juršėnas
Keyword(s):  
Particle Operator

Second quantized form of a two‐particle operator

1976 ◽  
Vol 44 (5) ◽  
pp. 484-485
Author(s):  
Saul T. Epstein
Keyword(s):  
Particle Operator

scholarly journals Irreducible tensor form of three-particle operator for open-shell atoms

Open Physics ◽  
2011 ◽  
Vol 9 (3) ◽  
Author(s):  
Rytis Juršėnas ◽  
Gintaras Merkelis
Keyword(s):  
Angular Momentum ◽  
Symmetric Group ◽  
Open Shell ◽  
Matrix Elements ◽  
Irreducible Tensor ◽  
Tensor Form ◽  
Momentum Theory ◽  
Recoupling Coefficients ◽  
Particle Operator

AbstractA three-particle operator in a second quantized form is studied systematically and comprehensively. The operator is transformed into irreducible tensor form. Possible coupling schemes, identified by the classes of symmetric group S6, are presented. Recoupling coefficients that make it possible to transform a given scheme into another are produced by using the angular momentum theory combined with quasispin formalism. The classification of the three-particle operator which acts on n = 1, 2,..., 6 open shells of equivalent electrons of atom is considered. The procedure to construct three-particle matrix elements are examined.

scholarly journals IMPLEMENTATION OF ENDOMORPHISMS OF THE CAR ALGEBRA

1995 ◽  
Vol 07 (06) ◽  
pp. 833-869 ◽  
Author(s):  
CARSTEN BINNENHEI
Keyword(s):  
Hilbert Space ◽  
Connected Components ◽  
Square Root ◽  
Fredholm Index ◽  
Fock States ◽  
Car Algebra ◽  
Bogoliubov Transformations ◽  
Particle Operator ◽  
Explicit Expressions

The implementation of non-surjective Bogoliubov transformations in Fock states over CAR algebras is investigated. Such a transformation is implementable by a Hilbert space of isometries if and only if the well-known Shale-Stinespring condition is met. In this case, the dimension of the implementing Hilbert space equals the square root of the Watatani index of the associated inclusion of CAR algebras, and both are determined by the Fredholm index of the corresponding one-particle operator. Explicit expressions for the implementing operators are obtained, and the connected components of the semigroup of implementable transformations are described.

Symmetry reduction of the matrix elements of a two-particle operator

1996 ◽  
Vol 60 (4) ◽  
pp. 833-841
Author(s):  
Shi-Jun Zhong ◽  
Yin-Gui Wang ◽  
Qian-Er Zhang
Keyword(s):  
Symmetry Reduction ◽  
Matrix Elements ◽  
The Matrix ◽  
Particle Operator

Improved Unlike-Particle Collision Operator for delta-f Drift-Kinetic Particle Simulations

2011 ◽  
Vol 9 (2) ◽  
pp. 231-239
Author(s):  
R. A. Kolesnikov ◽  
W. X. Wang ◽  
F. L. Hinton
Keyword(s):  
Collision Operator ◽  
Particle Simulation ◽  
Particle Collision ◽  
Nonlocal Effects ◽  
Toroidal Plasmas ◽  
Neoclassical Transport ◽  
Particle Simulations ◽  
Impurity Ion ◽  
Ion Species ◽  
Particle Operator

AbstractPlasmas in modern tokamak experiments contain a significant fraction of impurity ion species in addition to main deuterium background. A new unlike-particle collision operator for δf particle simulation has been developed to study the nonlocal effects of impurities due to finite ion orbits on neoclassical transport in toroidal plasmas. A new algorithm for simulation of cross-collisions between different ion species includes test-particle and conserving field-particle operators. An improved field-particle operator is designed to exactly enforce conservation of number, momentum and energy.

The Faddeev equation and the location of the essential spectrum of a model multi-particle operator

2008 ◽  
Vol 52 (12) ◽  
pp. 50-59 ◽  
Author(s):  
T. Kh. Rasulov
Keyword(s):  
Essential Spectrum ◽  
Faddeev Equation ◽  
Particle Operator

scholarly journals Coupled tensorial form for atomic relativistic two-particle operator given in second quantization representation

Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Rytis Juršėnas ◽  
Gintaras Merkelis
Keyword(s):  
Wave Functions ◽  
Electron Wave ◽  
Second Quantization ◽  
Effective Interactions ◽  
Relativistic Approximation ◽  
Quantization Representation ◽  
Particle Operator

AbstractGeneral formulas of the two-electron operator representing either atomic or effective interactions are given in a coupled tensorial form in relativistic approximation. The alternatives of using uncoupled, coupled and antisymmetric two-electron wave functions in constructing coupled tensorial form of the operator are studied. The second quantization technique is used. The considered operator acts in the space of states of open-subshell atoms.

The effective single particle operator for reactions with alpha-clusters

1980 ◽  
Vol 294 (1) ◽  
pp. 79-85 ◽  
Author(s):  
T. Fliessbach
Keyword(s):  
Single Particle ◽  
Particle Operator

Explicit Expression of Seniority Particle Operator and Its Properties in Quasi-spin Theory

2006 ◽  
Vol 46 (5) ◽  
pp. 909-913
Author(s):  
Zhang Bo ◽  
Lu Da-Hai ◽  
Deng Wei-Zhen ◽  
Chen Xiao-Lin
Keyword(s):  
Explicit Expression ◽  
Particle Operator
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