Coupled tensorial forms of the second-order effective Hamiltonian for open-subshell atoms in jj-coupling

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Atomic Data and Nuclear Data Tables

DOI:https://doi.org/10.1016/j.adt.2010.08.001· OSTI ID:21499650

Jursenas, Rytis ^[1]; Merkelis, Gintaras ^[1]

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1. Institute of Theoretical Physics and Astronomy of Vilnius University, A. Gostauto 12, LT-01108 Vilnius (Lithuania)

General expressions for the second-order effective atomic Hamiltonian are derived for open-subshell atoms in jj-coupling. The expansion terms are presented as N-body (N=0,1,2,3) effective operators given in the second quantization representation in coupled tensorial form. Two alternative coupled tensorial forms for each expansion term have been developed. To reduce the number of expressions of the effective Hamiltonian, the reduced matrix elements of antisymmetric two-particle wavefunctions are involved in the consideration. The general expressions presented allow the determination of the spin-angular part of expansion terms when studying correlation effects dealing with a number of problems in atomic structure calculations.

• OSTI ID: 21499650
• Journal Information: Atomic Data and Nuclear Data Tables, Vol. 97, Issue 1; Other Information: DOI: 10.1016/j.adt.2010.08.001; PII: S0092-640X(10)00076-8; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0092-640X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ATOMS
CORRELATIONS
HAMILTONIANS
J-J COUPLING
MANY-BODY PROBLEM
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEAR STRUCTURE
SECOND QUANTIZATION
SPIN
WAVE FUNCTIONS
ANGULAR MOMENTUM
COUPLING
FUNCTIONS
INTERMEDIATE COUPLING
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTIZATION
QUANTUM OPERATORS