The multistate vibronic coupling problem

1983 ◽  
Vol 78 (9) ◽  
pp. 5714-5728 ◽  
Author(s):  
L. S. Cederbaum
Keyword(s):  
Vibronic Coupling ◽  
Coupling Problem

Analytic treatment of the vibronic coupling problem

1981 ◽  
Vol 59 (3) ◽  
pp. 279-287 ◽  
Author(s):  
Sighart F. Fischer ◽  
Horst Köppel
Keyword(s):  
Vibronic Coupling ◽  
Coupling Problem ◽  
Analytic Treatment

On the multimode quadratic vibronic coupling problem: An open-ended solution using a parallel Lanczos algorithm

2008 ◽  
Vol 347 (1-3) ◽  
pp. 57-64 ◽  
Author(s):  
Michael S. Schuurman ◽  
Richard A. Young ◽  
David R. Yarkony
Keyword(s):  
Vibronic Coupling ◽  
Lanczos Algorithm ◽  
Coupling Problem

An alternative model of the vibronic coupling in octahedral complexes

1988 ◽  
Vol 53 (6) ◽  
pp. 1134-1140
Author(s):  
Martin Breza ◽  
Peter Pelikán
Keyword(s):  
Linear Regression ◽  
Alternative Model ◽  
Potential Surface ◽  
Analytical Formula ◽  
Coupling Model ◽  
Regression Method ◽  
Vibronic Coupling ◽  
Linear Regression Method ◽  
Active Systems ◽  
Jahn Teller

It is suggested that for some transition metal hexahalo complexes, the Eg-(a1g + eg) vibronic coupling model is better suited than the classical T2g-(a1g + eg) model. For the former, alternative model, the potential constants in the analytical formula are evaluated from the numerical map of the adiabatic potential surface by using the linear regression method. The numerical values for 29 hexahalo complexes of the 1st row transition metals are obtained by the CNDO/2 method. Some interesting trends of parameters of such Jahn-Teller-active systems are disclosed.

Constraint-force driven control design for rail vehicle virtual coupling

2021 ◽  
pp. 107754632110079
Author(s):  
Bin Wang ◽  
Dengke Yang ◽  
Xinrong Zhang ◽  
Xingheng Jia
Keyword(s):  
Dynamic Model ◽  
Traffic Management ◽  
Control Method ◽  
Constraint Force ◽  
Explicit Equation ◽  
Coupling Problem ◽  
Railway Traffic ◽  
Rail Vehicle ◽  
Virtual Coupling ◽  
Traffic Management System

This study investigates the constraint-force driven control problem of virtual coupling. To solve the constraint force, the explicit equation of vehicle motion with equality constraints is established using the Udwadia–Kalaba approach. First of all, this study introduces a brief overview of virtual coupling concepts in the European Railway Traffic Management System and some scenes of virtual coupling. The control method is proposed to enable the mechanical system to follow the designed constraint. Moreover, the dynamic model for virtual coupling problem is established. Second, combined with the dynamic model, the equation constraint is designed to make the rail vehicle movenment reach the control objective. By solving the equation based on the Udwadia–Kalaba approach, the control inputs that can render the vehicle to move along the desired trajectory. Third, numerical simulation results demonstrate the effectiveness of the proposed method in virtual coupling problem.

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