A unified derivation of Hamiltonian and optical transition matrix elements for open shell diatomic and polyatomic molecules using transformation tools of modern quantum mechanics

2015 ◽  
Vol 142 (14) ◽  
pp. 144107 ◽  
Author(s):  
David W. Schwenke
Keyword(s):  
Quantum Mechanics ◽  
Transition Matrix ◽  
Optical Transition ◽  
Open Shell ◽  
Polyatomic Molecules ◽  
Matrix Elements ◽  
Transition Matrix Elements

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 Эффективный способ нахождения матричных элементов оператора дипольного момента и поправок к энергии многоатомной молекулы с помощью теории возмущений в рамках формализма полиномов квантовых чисел

2021 ◽  
Vol 129 (7) ◽  
pp. 832
Author(s):  
М.Ю. Юрьев ◽  
В.М. Вахромов ◽  
А.О. Волощенко ◽  
Л.Б. Клинк
Keyword(s):  
Transition Matrix ◽  
Polyatomic Molecules ◽  
Second Order ◽  
Detailed Calculation ◽  
Matrix Elements ◽  
Calculation Algorithm ◽  
Quantum Numbers ◽  
Transition Matrix Elements ◽  
Dipolar Moment ◽  
Good Agreement

In the framework of quantum numbers polynomials, energy corrections and matrix elements of a dipolar-moment for polyatomic molecules are obtained up to the second order, and a detailed calculation algorithm is presented. The results obtained for the fundamental transition matrix elements are in good agreement with the literature data.

Excitons in Low-Dimensional Systems: Conjugated Polymers and Semiconductor Surfaces

1999 ◽  
Vol 579 ◽  
Author(s):  
Michael Rohlfing
Keyword(s):  
Conjugated Polymers ◽  
Transition Matrix ◽  
Optical Transition ◽  
Binding Energies ◽  
Semiconductor Surface ◽  
Matrix Elements ◽  
Excitation Energies ◽  
Transition Matrix Elements ◽  
Low Dimensional ◽  
Excitonic States

ABSTRACTWe investigate the formation of excitons in low-dimensional semiconducting systems. To this end a recently developed ab initio approach is employed to determine the excitation energies and optical transition matrix elements of bound and unbound excitonic states. From these results the optical spectrum can be evaluated. We discuss two classes of low- dimensional prototype materials: conjugated polymers and a semiconductor surface. Due to the reduced dimensionality, the excitonic binding energies are much larger than in con- ventional semiconductors.

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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