Exact eigenvalues, eigenfunctions, matrix elements and phase‐shifts for a particle of angular momentum l in a particular screened potential

1980 ◽  
Vol 21 (7) ◽  
pp. 1732-1739 ◽  
Author(s):  
Ulla Myhrman
Keyword(s):  
Angular Momentum ◽  
Phase Shifts ◽  
Matrix Elements

SYMMETRY DECOUPLING IN LINEAR ALGEBRAIC VARIATIONAL SCATTERING PROBLEMS

1995 ◽  
Vol 06 (01) ◽  
pp. 105-121
Author(s):  
MEISHAN ZHAO
Keyword(s):  
Angular Momentum ◽  
Variational Principle ◽  
Total Angular Momentum ◽  
Numerical Calculations ◽  
Quantum Mechanical ◽  
Matrix Elements ◽  
Scattering Problems ◽  
Identical Particles ◽  
Generalized Newton

This paper discusses the symmetry decoupling in quantum mechanical algebraic variational scattering calculations by the generalized Newton variational principle. Symmetry decoupling for collisions involving identical particles is briefly discussed. Detailed discussion is given to decoupling from evaluation of matrix elements with nonzero total angular momentum. Example numerical calculations are presented for BrH2 and DH2 systems to illustrate accuracy and efficiency.

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.

Construction of nuclear potentials from phase shifts at different energies and angular momenta

1988 ◽  
Vol 66 (7) ◽  
pp. 618-621 ◽  
Author(s):  
M. A. Hooshyar ◽  
M. Razavy
Keyword(s):  
Inverse Problems ◽  
Approximate Method ◽  
Continued Fraction ◽  
Phase Shifts ◽  
Nuclear Potential ◽  
Matrix Elements ◽  
Fixed Energy ◽  
Angular Momenta ◽  
Partial Waves

This paper is concerned with an approximate method of construction of a central nuclear potential when [Formula: see text]-matrix elements or phase shifts for different partial waves are given at different energies. This is done by a generalization of the continued-fraction technique that was formulated for solving inverse problems at fixed energy.

Sign in / Sign up

Export Citation Format

Share Document