Statistical mechanics of quantum one-dimensional damped harmonic oscillators: II

1987 ◽  
Vol 65 (7) ◽  
pp. 715-718 ◽  
Author(s):  
O. N. Borges ◽  
L. A. Amarante Ribeiro
Keyword(s):  
Master Equation ◽  
Weak Coupling ◽  
Weak Coupling Limit ◽  
Harmonic Oscillators ◽  
Equation Approach ◽  
One Dimensional ◽  
Master Equation Approach ◽  
The One ◽  
The Relationship ◽  
Damped Oscillator

We show that the Caldirola–Kanai Hamiltonian of the one-dimensional damped oscillator describes in a specified basis a Gaussian, Markoffian process, in the weak coupling limit. We also discuss which assumption makes the process stationary and clarify the relationship with the master-equation approach.

scholarly journals THE SPECTRAL PROPERTIES OF THE FALICOV–KIMBALL MODEL IN THE WEAK-COUPLING LIMIT

2003 ◽  
Vol 17 (10) ◽  
pp. 2083-2093 ◽  
Author(s):  
PAVOL FARKAŠOVSKÝ
Keyword(s):  
Weak Coupling ◽  
Critical Value ◽  
Exact Diagonalization ◽  
Weak Coupling Limit ◽  
Level Energy ◽  
One Dimensional ◽  
Energy Gaps ◽  
Electron Density Of States ◽  
Insulator Metal Transition ◽  
The One

The f and d electron density of states of the one-dimensional Falicov–Kimball model are studied in the weak-coupling limit by exact diagonalization calculations. The resultant behaviors are used to examine the d electron gap (Δd), the f electron gap (Δf), and the fd electron gap (Δfd) as functions of the f level energy Ef and hybridization V. It is shown that the spinless Falicov–Kimball model behaves fully differently for zero and finite hybridization between f and d states. At zero hybridization the energy gaps do not coincide (Δd ≠ Δf ≠ Δfd), and the activation gap Δfd vanishes discontinuously at some critical value of the f level energy Efc. On the other hand, at finite hybridization all energy gaps coincide and vanish continuously at the insulator-metal transition point Ef = Efc. The importance of these results for a description of real materials is discussed.

scholarly journals Stepwise introduction of model complexity in a generalized master equation approach to time-dependent transport

2012 ◽  
Vol 61 (2-3) ◽  
pp. 305-316 ◽  
Author(s):  
V. Gudmundsson ◽  
O. Jonasson ◽  
Th. Arnold ◽  
C-S. Tang ◽  
H.-S. Goan ◽  
...  
Keyword(s):  
Master Equation ◽  
Time Dependent ◽  
Model Complexity ◽  
Equation Approach ◽  
Master Equation Approach ◽  
Dependent Transport ◽  
Generalized Master Equation

scholarly journals Intrinsic Friction of Monolayers Adsorbed on Solid Surfaces.

2003 ◽  
Vol 790 ◽  
Author(s):  
O. Bénichou ◽  
A.M. Cazabat ◽  
J. De Coninck ◽  
M. Moreau ◽  
G. Oshanin
Keyword(s):  
Density Distribution ◽  
Master Equation ◽  
Vapor Phase ◽  
Tracer Particle ◽  
Hard Core ◽  
Solid Surfaces ◽  
Equation Approach ◽  
Frictional Properties ◽  
Master Equation Approach ◽  
Frictional Forces

ABSTRACTWe review recent results on intrinsic frictional properties of adsorbed monolayers, composed of mobile hard-core particles undergoing continuous exchanges with a vapor phase. In terms of a dynamical master equation approach we determine the velocity of a biased impure molecule - the tracer particle (TP), constrained to move inside the adsorbed mono-layer probing its frictional properties, define the frictional forces exerted by the monolayer on the TP, as well as the particles density distribution in the monolayer.

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