Calculation of electronic tunneling matrix element in proteins: Comparison of exact and approximate one-electron methods for Ru-modified azurin

1997 ◽  
Vol 106 (13) ◽  
pp. 5658-5666 ◽  
Author(s):  
Iraj Daizadeh ◽  
John N. Gehlen ◽  
Alexei A. Stuchebrukhov
Keyword(s):  
Matrix Element ◽  
Tunneling Matrix Element ◽  
Electronic Tunneling

scholarly journals EXACTLY SOLVABLE MODEL FOR THE DECAY OF SUPERDEFORMED NUCLEI

2005 ◽  
Vol 14 (01) ◽  
pp. 157-164 ◽  
Author(s):  
B. R. BARRETT ◽  
D. M. CARDAMONE ◽  
C. A. STAFFORD
Keyword(s):  
Matrix Element ◽  
Statistical Model ◽  
Energy Levels ◽  
Solvable Model ◽  
Branching Ratio ◽  
Exactly Solvable Model ◽  
Exactly Solvable ◽  
Level Model ◽  
Tunneling Matrix Element ◽  
Two Level Model

The history and importance of superdeformation in nuclei is briefly discussed. A simple two-level model is then employed to obtain an elegant expression for the branching ratio for the decay via the E1 process in the normal-deformed band of superdeformed nuclei. From this expression, the spreading width Γ↓ for superdeformed decay is found to be determined completely by experimentally known quantities. The accuracy of the two-level approximation is verified by considering the effects of other normal-deformed states. Furthermore, by using a statistical model of the energy levels in the normal-deformed well, we can obtain a probabilistic expression for the tunneling matrix element V.

scholarly journals QUANTUM CONTROL IN STRONGLY DRIVEN OPTICAL LATTICES

2011 ◽  
Vol 09 (supp01) ◽  
pp. 139-144 ◽  
Author(s):  
DONATELLA CIAMPINI ◽  
OLIVER MORSCH ◽  
ENNIO ARIMONDO
Keyword(s):  
Matrix Element ◽  
Quantum Control ◽  
Optical Lattices ◽  
Coherent Control ◽  
Quantum Systems ◽  
Matter Waves ◽  
New Methods ◽  
Tunneling Matrix Element ◽  
The Way

Matter waves can be coherently and adiabatically loaded and controlled in strongly driven optical lattices. This coherent control is used in order to modify the modulus and the sign of the tunneling matrix element in the tunneling Hamiltonian. Our findings pave the way for studies of driven quantum systems and new methods for engineering Hamiltonians that are impossible to realize with static techniques.

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