The Mourre estimate in the semiclassical limit

1990 ◽  
Vol 20 (1) ◽  
pp. 47-54 ◽  
Author(s):  
Gian Michele Graf
Keyword(s):  
Semiclassical Limit ◽  
Mourre Estimate

The semiclassical limit of the intermediate scattering function

1996 ◽  
Vol 89 (4) ◽  
pp. 1203-1207
Author(s):  
S. BONELLA ◽  
G. CICCOTTI ◽  
D.F. COKER
Keyword(s):  
Semiclassical Limit ◽  
Scattering Function ◽  
Intermediate Scattering Function

scholarly journals The Semiclassical Limit of the Gailitis Formula Applied to Electron Impact Broadening of Spectral Lines of Ionized Atoms

Atoms ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 29
Author(s):  
Sylvie Sahal-Bréchot
Keyword(s):  
Electron Impact ◽  
Classical Limit ◽  
Semiclassical Limit ◽  
Spectral Lines ◽  
Stark Broadening ◽  
Feshbach Resonances

The present paper revisits the determination of the semi-classical limit of the Feshbach resonances which play a role in electron impact broadening (the so-called “Stark“ broadening) of isolated spectral lines of ionized atoms. The Gailitis approximation will be used. A few examples of results will be provided, showing the importance of the role of the Feshbach resonances.

scholarly journals On the Semiclassical Limit of the General Modified NLS Equation

2001 ◽  
Vol 260 (2) ◽  
pp. 546-571 ◽  
Author(s):  
Benoı̂t Desjardins ◽  
Chi-Kun Lin
Keyword(s):  
Semiclassical Limit ◽  
Nls Equation

scholarly journals WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit

2011 ◽  
Vol 49 (4) ◽  
pp. 1436-1460 ◽  
Author(s):  
Anton Arnold ◽  
Naoufel Ben Abdallah ◽  
Claudia Negulescu
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Semiclassical Limit

Dynamic behaviors for a (2 + 1)-dimensional inhomogenous Heisenberg ferromagnetic spin chain system

2021 ◽  
pp. 2150251
Author(s):  
Douvagai ◽  
Yaouba Amadou ◽  
Gambo Betchewe ◽  
Alphonse Houwe ◽  
Mustafa Inc ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Riccati Equation ◽  
Spin Chain ◽  
Spin Dynamics ◽  
Semiclassical Limit ◽  
Mapping Method ◽  
Soliton Propagation ◽  
Generalized Riccati Equation ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Anisotropic Interactions

We investigate a (2 + 1)-dimensional nonlinear Schrodinger equation (NLSE), which describes the spin dynamics of (2 + 1)-dimensional inhomogeneous Heisenberg ferromagnetic spin chain (IHFSC) with bilinear and anisotropic interactions in the semiclassical limit. Miscellaneous new solitons solutions are obtained through the generalized Riccati equation mapping method (GREMM). Moreover, the effects of homogeneity on the soliton propagation and interaction are discussed. The derived structure of the obtain solutions offers a rich platform to better understand the nonlinear dynamics in the ferromagnetic materials.

scholarly journals REVISED CANONICAL QUANTUM GRAVITY VIA THE FRAME FIXING

2004 ◽  
Vol 13 (01) ◽  
pp. 165-186 ◽  
Author(s):  
SIMONE MERCURI ◽  
GIOVANNI MONTANI
Keyword(s):  
Quantum Dynamics ◽  
Fundamental Problem ◽  
Semiclassical Limit ◽  
Momentum Density ◽  
Hamiltonian Constraint ◽  
Additional Energy ◽  
Canonical Quantum Gravity ◽  
Quantum Geometrodynamics ◽  
Canonical Quantum ◽  
Natural Way

We present a new reformulation of the canonical quantum geometrodynamics, which allows one to overcome the fundamental problem of the frozen formalism and, therefore, to construct an appropriate Hilbert space associate to the solution of the restated dynamics. More precisely, to remove the ambiguity contained in the Wheeler–DeWitt approach, with respect to the possibility of a (3+1)-splitting when space–time is in a quantum regime, we fix the reference frame (i.e. the lapse function and the shift vector) by introducing the so-called kinematical action. As a consequence the new super-Hamiltonian constraint becomes a parabolic one and we arrive to a Schrödinger-like approach for the quantum dynamics. In the semiclassical limit our theory provides General Relativity in the presence of an additional energy–momentum density contribution coming from non-zero eigenvalues of the Hamiltonian constraints. The interpretation of these new contributions comes out in natural way that soon as it is recognized that the kinematical action can be recasted in such a way that it describes a pressureless, but, in general, non-geodesic perfect fluid.

Semiclassical-limit molecular dynamics on multiple electronic surfaces

1997 ◽  
Vol 106 (12) ◽  
pp. 4918-4930 ◽  
Author(s):  
Craig C. Martens ◽  
Jian-Yun Fang
Keyword(s):  
Molecular Dynamics ◽  
Semiclassical Limit
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