Rotation–Vibration Coupling in Diatomic Molecules and the Factorization Method. I. Closed Form Formulas for the Vibration Intensities

1973 ◽  
Vol 51 (19) ◽  
pp. 2075-2085 ◽  
Author(s):  
M. Badawi ◽  
N. Bessis ◽  
G. Bessis
Keyword(s):  
Dipole Moment ◽  
Transition Matrix ◽  
Diatomic Molecules ◽  
Factorization Method ◽  
Dipole Matrix Element ◽  
Matrix Elements ◽  
Explicit Formulas ◽  
Overlap Integral ◽  
Transition Matrix Elements ◽  
Vibration Coupling

It is shown that the factorization method followed by an “accelerated" operatorial formalism or an equivalent matrix procedure leads to explicit formulas for calculating transition matrix elements. The calculation has been completely carried out for the pure vibration case of diatomic molecules, for any degree k of the dipole moment Taylor's expansion. The intuitive approximate proportionality between the radial dipole matrix element and an overlap integral is demonstrated.

Rotation–Vibration Coupling in Diatomic Molecules and the Factorization Method. II. Closed Form Formulas for the Morse–Pekeris Intensities

1974 ◽  
Vol 52 (2) ◽  
pp. 110-119 ◽  
Author(s):  
M. Badawi ◽  
N. Bessis ◽  
G. Bessis ◽  
G. Hadinger
Keyword(s):  
Dipole Moment ◽  
Closed Form ◽  
Explicit Expression ◽  
Factorization Method ◽  
Closed Form Expression ◽  
Matrix Elements ◽  
Moment Matrix ◽  
Form Expression ◽  
Vibration Coupling

It is shown that, by applying an "accelerated" ladder operatorial formalism or an equivalent matrix procedure, one can obtain, easily, for the case of a Morse–Pekeris potential, a closed form expression of the rotation–vibration nuclear dipole moment matrix elements. This explicit expression, which is valid for any degree k of the dipole moment Taylor's expansion, allows the determination of the rotation–vibration intensities for any ΩνJ → Ω′ν′J′ transition.

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

scholarly journals Floquet-state cooling

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Onno R. Diermann ◽  
Martin Holthaus
Keyword(s):  
Solid State ◽  
Ground State ◽  
Thermal Equilibrium ◽  
Transition Matrix ◽  
Fourier Spectrum ◽  
Dissipative System ◽  
Quasistationary State ◽  
Matrix Elements ◽  
Periodically Driven ◽  
Transition Matrix Elements

AbstractWe demonstrate that a periodically driven quantum system can adopt a quasistationary state which is effectively much colder than a thermal reservoir it is coupled to, in the sense that certain Floquet states of the driven-dissipative system can carry much higher population than the ground state of the corresponding undriven system in thermal equilibrium. This is made possible by a rich Fourier spectrum of the system’s Floquet transition matrix elements, the components of which are addressed individually by a suitably peaked reservoir density of states. The effect is expected to be important for driven solid-state systems interacting with a phonon bath predominantly at well-defined frequencies.

Controlling transition matrix elements and relaxation in a two-electron double quantum dot

2009 ◽  
Vol 79 (15) ◽  
Author(s):  
Carlos F. Destefani ◽  
Chris McDonald ◽  
Suren Sukiasyan ◽  
Thomas Brabec
Keyword(s):  
Quantum Dot ◽  
Transition Matrix ◽  
Double Quantum ◽  
Matrix Elements ◽  
Double Quantum Dot ◽  
Transition Matrix Elements
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