scholarly journals An exacting transition probability measurement - a direct test of atomic many-body theories

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Tarun Dutta ◽  
Debashis De Munshi ◽  
Dahyun Yum ◽  
Riadh Rebhi ◽  
Manas Mukherjee
Keyword(s):  
Transition Probability ◽  
Direct Test ◽  
Many Body ◽  
Probability Measurement

scholarly journals A differential equation for the transition probability B(E2)↑ and the resulting recursion relations connecting even–even nuclei

2014 ◽  
Vol 23 (04) ◽  
pp. 1450022 ◽  
Author(s):  
S. Pattnaik ◽  
R. C. Nayak
Keyword(s):  
Differential Equation ◽  
Transition Probability ◽  
Electric Quadrupole ◽  
Energy Relation ◽  
Local Energy ◽  
Many Body ◽  
Recursion Relations ◽  
Many Body Theory ◽  
Electric Quadrupole Transition ◽  
Atomic Nuclei

We obtain here a new relation for the reduced electric quadrupole transition probability B(E2)↑ of a given nucleus in terms of its derivatives with respect to neutron and proton numbers based on a similar local energy relation in the Infinite Nuclear Matter (INM) model of atomic nuclei, which is essentially built on the foundation of the Hugenholtz–Van Hove (HVH) theorem of many-body theory. Obviously, such a relation in the form of a differential equation is expected to be more powerful than the usual algebraic difference equations. Although the relation for B(E2)↑ has been perceived simply on the basis of a corresponding differential equation for the local energy in the INM model, its theoretical foundation otherwise has been clearly demonstrated. We further exploit the differential equation in using the very definitions of the derivatives to obtain two different recursion relations for B(E2)↑, connecting in each case three neighboring even–even nuclei from lower to higher mass numbers and vice versa. We demonstrate their numerical validity using available data throughout the nuclear chart and also explore their possible utility in predicting B(E2)↑ values.

Theory of the Gain Characteristics of InGaN/AlGaN QD Lasers

1998 ◽  
Vol 537 ◽  
Author(s):  
A.D. Andreev ◽  
E.P. O'Reilly
Keyword(s):  
Lattice Mismatch ◽  
Interband Transition ◽  
Transition Probability ◽  
Strain Tensor ◽  
Expansion Method ◽  
Original Method ◽  
Many Body ◽  
Plane Wave Expansion Method ◽  
The Fourier Transform ◽  
The Many

AbstractWe present a theoretical analysis of the gain characteristics of InGaN/AlGaN quantum dot (QD) lasers. We calculate the elastic strain distribution caused by the lattice mismatch between the QD and the barrier using an original method which takes into account the hexagonal symmetry of the structure's elastic properties. The method is based on an analytical derivation of the Fourier transform of the strain tensor. The proposed approach is combined with a plane-wave expansion method to calculate the carrier spectrum and wave functions. The many-body gain of a laser containing a periodic array of QDs is calculated using the Padé approximation. We show that band gap reduction and the Coulomb enhancement of the interband transition probability can significantly modify the gain spectrum in InGaN/AlGaN QD lasers.

Transition probability measurement in an Ar II plasma

1997 ◽  
Vol 30 (14) ◽  
pp. 3141-3157 ◽  
Author(s):  
J A Aparicio ◽  
M A Gigosos ◽  
S Mar
Keyword(s):  
Transition Probability ◽  
Probability Measurement

Transition probability measurement of several OIIspectral lines

2001 ◽  
Vol 34 (22) ◽  
pp. 4531-4538 ◽  
Author(s):  
J A del Val ◽  
J A Aparicio ◽  
V R González ◽  
S Mar
Keyword(s):  
Transition Probability ◽  
Probability Measurement

scholarly journals Theory of the gain characteristics of InGaN/AlGaN QD Lasers

1999 ◽  
Vol 4 (S1) ◽  
pp. 721-726 ◽  
Author(s):  
A.D. Andreev ◽  
E.P. O’Reilly
Keyword(s):  
Lattice Mismatch ◽  
Interband Transition ◽  
Transition Probability ◽  
Strain Tensor ◽  
Expansion Method ◽  
Original Method ◽  
Many Body ◽  
Plane Wave Expansion Method ◽  
The Fourier Transform ◽  
The Many

We present a theoretical analysis of the gain characteristics of InGaN/AlGaN quantum dot (QD) lasers. We calculate the elastic strain distribution caused by the lattice mismatch between the QD and the barrier using an original method which takes into account the hexagonal symmetry of the structure’s elastic properties. The method is based on an analytical derivation of the Fourier transform of the strain tensor. The proposed approach is combined with a plane-wave expansion method to calculate the carrier spectrum and wave functions. The many-body gain of a laser containing a periodic array of QDs is calculated using the Padé approximation. We show that band gap reduction and the Coulomb enhancement of the interband transition probability can significantly modify the gain spectrum in InGaN/AlGaN QD lasers.

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