ON A SELECTION RULE FOR ELECTRIC TRANSITIONS IN AXIALLY-SYMMETRIC NUCLEI

2010 ◽  
Vol 19 (04) ◽  
pp. 685-691 ◽  
Author(s):  
A. DOBROWOLSKI ◽  
A. GÓŹDŹ ◽  
J. DUDEK
Keyword(s):  
Transition Matrix ◽  
Selection Rule ◽  
Wave Functions ◽  
Matrix Elements ◽  
Axially Symmetric ◽  
Many Body ◽  
Absolute Value ◽  
Angular Momenta ◽  
Abrupt Changes ◽  
Transition Matrix Elements

We consider many-body E-l transition matrix-elements between two nuclear states of different axially-symmetric deformations characterised by two different (mutually non-orthogonal) sets of single-particle wave-functions. Yet, when varying the deformations of the initial, final, or both these states one notices abrupt changes in the form of vanishing and possibly reappearance of the transition matrix elements calculated between the corresponding Slater determinants. The mechanism is explained in terms of the conservation of the |m| quantum number (absolute value of the projection of individual-nucleonic angular-momenta); consequences for the more general calculations of this type also without axial symmetry are discussed.

Collisional depolarization of light alkali atoms excited to their lowest 2P levels

1970 ◽  
Vol 48 (24) ◽  
pp. 3047-3058 ◽  
Author(s):  
M. Elbel
Keyword(s):  
Cross Sections ◽  
Transition Matrix ◽  
Inner Product ◽  
Matrix Elements ◽  
Angular Momenta ◽  
Rank Tensor ◽  
Alkali Atoms ◽  
The Matrix ◽  
Transition Matrix Elements ◽  
Depolarization Of Light

Transition matrix elements connecting the Zeeman sublevels of the lowest p doublets in light alkali atoms have been derived using methods of steady-state collision theory. The matrix elements generally consist of two parts which, under rotations of the quantization axis with respect to the scattering plane, behave like components of a first rank and a second rank tensor, respectively. Only the second rank tensor components lead to the selection rule j, mJ↔j, −mj, whereas the first rank tensor components do not. The latter can be ascribed to a formal interaction term which is proportional to the inner product of the orbital angular momenta of the valence electron and the colliding atoms, respectively, thus accounting for molecular coupling phenomena during the collision. Finally, the transition matrix elements are used to calculate the depolarizing cross sections from the van der Waals potential.

OPTICAL TRANSITIONS IN A PARABOLIC GaAs/Ga1-xAlxAs SUPERLATTICES

2001 ◽  
Vol 08 (03n04) ◽  
pp. 321-325
Author(s):  
ŞAKIR ERKOÇ ◽  
HATICE KÖKTEN
Keyword(s):  
Transition Matrix ◽  
Optical Transition ◽  
Matrix Elements ◽  
Electron States ◽  
Parabolic Potential ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Transition Matrix Elements ◽  
Scf Calculations

We have performed self-consistent field (SCF) calculations of the electronic structure of GaAs/Ga 1-x Al x As superlattices with parabolic potential profile within the effective mass theory. We have calculated the optical transition matrix elements involving transitions from the hole states to the electron states, and we have also computed the oscillator strength matrix elements for the transitions among the electron states.

scholarly journals Microscopic method for E0 transition matrix elements

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
B. A. Brown ◽  
A. B. Garnsworthy ◽  
T. Kibédi ◽  
A. E. Stuchbery
Keyword(s):  
Transition Matrix ◽  
Matrix Elements ◽  
Microscopic Method ◽  
Transition Matrix Elements

Neutron and proton transition matrix elements and inelastic hadron scattering

1981 ◽  
Vol 103 (4-5) ◽  
pp. 255-258 ◽  
Author(s):  
A.M. Bernstein ◽  
V.R. Brown ◽  
V.A. Madsen
Keyword(s):  
Transition Matrix ◽  
Matrix Elements ◽  
Transition Matrix Elements
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