scholarly journals Chaos and Energy Spreading for Time-Dependent Hamiltonians, and the Various Regimes in the Theory of Quantum Dissipation

2000 ◽  
Vol 283 (2) ◽  
pp. 175-231 ◽  
Author(s):  
Doron Cohen
2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Anatoly A. Barybin

Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter) by using the well-known Madelung-Feynman approach to representation of the quantum-mechanical equations in hydrodynamic form. Such an approach has given (a) three different contributions to the resulting chemical potential for the superfluid component, (b) a general hydrodynamic equation of superfluid motion, (c) the continuity equation for superfluid flow with a relaxation term involving the phenomenological parameters and , (d) a new version of the time-dependent Ginzburg-Landau equation for the modulus of the order parameter which takes into account dissipation effects and reflects the charge conservation property for the superfluid component. The conventional Ginzburg-Landau equation also follows from our continuity equation as a particular case of stationarity. All the results obtained are mutually consistent within the scope of the chosen phenomenological description and, being model-neutral, applicable to both the low- and high- superconductors.


1972 ◽  
Vol 6 (5) ◽  
pp. 1734-1743 ◽  
Author(s):  
T. J. Rieger ◽  
D. J. Scalapino ◽  
J. E. Mercereau

1980 ◽  
Vol 41 (C1) ◽  
pp. C1-239-C1-240 ◽  
Author(s):  
Takayuki Kobayashi ◽  
Tetsuo Kitahara
Keyword(s):  

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