Uncertainty inequalities among frequency moments and radial expectation values: Applications to atomic systems

2012 ◽  
Vol 53 (4) ◽  
pp. 043512 ◽  
Author(s):  
J. C. Angulo ◽  
P. A. Bouvrie ◽  
J. Antolín
Keyword(s):  
Expectation Values ◽  
Atomic Systems ◽  
Frequency Moments ◽  
Uncertainty Inequalities

Charge monotonicity of atomic systems and radial expectation values

1993 ◽  
Vol 25 (4) ◽  
pp. 287-293 ◽  
Author(s):  
J. C. Angulo ◽  
J. S. Dehesa
Keyword(s):  
Expectation Values ◽  
Atomic Systems

An expansion method for calculating atomic properties. II

1962 ◽  
Vol 269 (1339) ◽  
pp. 550-559 ◽  
Keyword(s):  
Configuration Interaction ◽  
Nuclear Charge ◽  
Expansion Method ◽  
Expectation Values ◽  
Atomic Systems ◽  
Atomic Properties ◽  
Self Consistent ◽  
Nuclear Shielding ◽  
Consistent Method

The accuracy of the methods of calculating the expectation values of perturbed atomic systems is analyzed by means of an expansion in inverse powers of the nuclear charge. Results are presented for the quadrupole polarizabilities and nuclear-shielding factors of all members of the helium and beryllium isoelectronic sequences and it is shown that the loss of accuracy entailed in replacing the full self-consistent method by a simpler one is small. Anestim ate is made of the importance of configuration interaction between the (1s 2 2s 2 ) 1 S and (1s 2 2p 2 ) 1 S states of the beryllium sequence.

The isotope effect in electronic expectation values: an all-quantum study of C6H6 and C6D6

1998 ◽  
Vol 93 (5) ◽  
pp. 801-807
Author(s):  
JOACHIM SCHULTE ◽  
MICHAEL BOHM ◽  
RAFAEL RAMIREZ
Keyword(s):  
Isotope Effect ◽  
Expectation Values

scholarly journals ABCD of ’t Hooft operators

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Hirotaka Hayashi ◽  
Takuya Okuda ◽  
Yutaka Yoshida
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theories ◽  
Supersymmetric Quantum Mechanics ◽  
Type Ii ◽  
Expectation Values ◽  
String Theories

Abstract We compute by supersymmetric localization the expectation values of half-BPS ’t Hooft line operators in $$ \mathcal{N} $$ N = 2 U(N ), SO(N ) and USp(N ) gauge theories on S1 × ℝ3 with an Ω-deformation. We evaluate the non-perturbative contributions due to monopole screening by calculating the supersymmetric indices of the corresponding supersymmetric quantum mechanics, which we obtain by realizing the gauge theories and the ’t Hooft operators using branes and orientifolds in type II string theories.

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