A generalization of the Lagrange–Hamilton formalism with application to non-conservative systems and the quantum to classical transition

2021 ◽  
Vol 62 (3) ◽  
pp. 033503
Author(s):  
R. S. Langley
Keyword(s):  
Hamilton Formalism ◽  
Classical Transition ◽  
Conservative Systems

scholarly journals Quantum-classical transition of the escape rate of a uniaxial spin system in an arbitrarily directed field

1998 ◽  
Vol 57 (21) ◽  
pp. 13639-13654 ◽  
Author(s):  
D. A. Garanin ◽  
X. Martínez Hidalgo ◽  
E. M. Chudnovsky
Keyword(s):  
Spin System ◽  
Escape Rate ◽  
Classical Transition

On the Calculation of Transition State Activity Coefficient and Solvent Effects on Chemical Reactions

1998 ◽  
Vol 63 (12) ◽  
pp. 1969-1976 ◽  
Author(s):  
Alvaro Domínguez ◽  
Rafael Jimenez ◽  
Pilar López-Cornejo ◽  
Pilar Pérez ◽  
Francisco Sánchez
Keyword(s):  
Activity Coefficient ◽  
Transition State ◽  
Chemical Reactions ◽  
Solvent Effects ◽  
Transition State Theory ◽  
Reaction Medium ◽  
State Theory ◽  
Precursor Complex ◽  
State Activity ◽  
Classical Transition

Solvent effects, when the classical transition state theory (TST) holds, can be interpreted following the Brønsted equation. However, when calculating the activity coefficient of the transition state, γ# it is important to take into account that this coefficient is different from that of the precursor complex, γPC. The activity coefficient of the latter is, in fact, that calculated in classical treatments of salt and solvent effects. In this paper it is shown how the quotients γ#/γPC change when the reaction medium changes. Therefore, the conclusions taken on the basis of classical treatments may be erroneous.

On stability boundaries of conservative systems

2001 ◽  
Vol 52 (4) ◽  
pp. 669-679 ◽  
Author(s):  
P. Seyranian ◽  
A. A. Mailybaev
Keyword(s):  
Stability Boundaries ◽  
Conservative Systems

Time Reversal Symmetry and Energy Drift in Conservative Systems

2007 ◽  
Author(s):  
L. Brugnano ◽  
D. Trigiante ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Time Reversal ◽  
Time Reversal Symmetry ◽  
Conservative Systems
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