scholarly journals Atomic photoionization calculations using local continuum exchange approximations. [Hartree-Slater calculation, four forms of dipole operator potentials]

1978 ◽  
Author(s):  
J Siegel ◽  
J L Dehmer ◽  
D Dill
Keyword(s):  
Dipole Operator

scholarly journals Quantized toroidal dipole eigenvalues in nano-systems

2021 ◽  
Vol 2090 (1) ◽  
pp. 012151
Author(s):  
D. V. Anghel ◽  
A. T. Preda
Keyword(s):  
Parity Violation ◽  
Nuclear Reactions ◽  
General Procedure ◽  
Quantum Systems ◽  
Electromagnetic Structure ◽  
New Class ◽  
Quantum Properties ◽  
Commuting Operators ◽  
Dipole Operator ◽  
Theoretical Considerations

Abstract The parity violation in nuclear reactions led to the discovery of the new class of toroidal multipoles. Since then, it was observed that toroidal multipoles are present in the electromagnetic structure of systems at all scales, from elementary particles, to solid state systems and metamaterials. The toroidal dipole T (the lowest order multipole) is the most common. This corresponds to the toroidal dipole operator T ^ in quantum systems, with the projections T ^ i (i = 1, 2, 3) on the coordinate axes. These operators are observables if they are self-adjoint, but, although it is commonly discussed of toroidal dipoles of both, classical and quantum systems, up to now no system has been identified in which the operators are self-adjoint. Therefore, in this paper we use what are called the “natural coordinates” of the T ^ 3 operator to give a general procedure to construct operators that commute with T ^ 3 . Using this method, we introduce the operators p ^ ( k ) , p ^ ( k 1 ) , and p ^ ( k 2 ) , which, together with T ^ 3 and L ^ 3 , form sets of commuting operators: ( p ^ ( k ) , T ^ 3 , L ^ 3 ) and ( p ^ ( k 1 ) , p ^ ( k 2 ) , T ^ 3 ) . All these theoretical considerations open up the possibility to design metamaterials that could exploit the quantization and the general quantum properties of the toroidal dipoles.

Two-body modifications of the Siegert dipole operator and doubly radiative n-p capture

1981 ◽  
Vol 356 (2) ◽  
pp. 469-482
Author(s):  
A. Cambi ◽  
B. Mosconi ◽  
P. Ricci
Keyword(s):  
Dipole Operator ◽  
Body Modifications

The ab initio effective dipole operator of CH: Comparisons with semiempirical methods

1992 ◽  
Vol 96 (7) ◽  
pp. 5245-5252 ◽  
Author(s):  
Alfred W. Kanzler ◽  
Karl F. Freed ◽  
Hosung Sun
Keyword(s):  
Ab Initio ◽  
Semiempirical Methods ◽  
Dipole Operator

The dipole operator for exotic atoms and molecules

1986 ◽  
Vol 114 (4) ◽  
pp. 191-194
Author(s):  
M.J. Turner ◽  
Daphne F. Jackson ◽  
J. Law
Keyword(s):  
Exotic Atoms ◽  
Atoms And Molecules ◽  
Dipole Operator ◽  
Exotic Atoms And Molecules

On the effective two body magnetic dipole operator

1974 ◽  
Vol 50 (4) ◽  
pp. 417-420 ◽  
Author(s):  
K. Shimizu ◽  
A. Arima
Keyword(s):  
Magnetic Dipole ◽  
Dipole Operator
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