scholarly journals Semiclassical scattering in a circular semiconductor microstructure

1996 ◽  
Vol 54 (15) ◽  
pp. 10652-10668 ◽  
Author(s):  
C. D. Schwieters ◽  
J. A. Alford ◽  
J. B. Delos
Keyword(s):  
Semiclassical Scattering

Semiclassical scattering amplitude at the maximum of the potential

2008 ◽  
Vol 58 (1-2) ◽  
pp. 57-125 ◽  
Author(s):  
Ivana Alexandrova ◽  
Jean-François Bony ◽  
Thierry Ramond
Keyword(s):  
Scattering Amplitude ◽  
Semiclassical Scattering

The Classical-to-Semiclassical Connection

2017 ◽  
Author(s):  
John A. Adam
Keyword(s):  
Electromagnetic Waves ◽  
Wave Radiation ◽  
Physical Optics ◽  
Incident Plane Wave ◽  
Potential Well ◽  
Intermediate Region ◽  
Symmetric Problem ◽  
Classical Domain ◽  
Incident Plane ◽  
Semiclassical Scattering

This chapter discusses the connection between the classical and semiclassical domains of scattering. Scattering phenomena may be described via three regimes: the scattering of waves by objects with small, large, or comparable sizes with the wavelength of the incident (plane wave) radiation. All three regions can be related to three domains: the classical domain (geometrical optics, particle and particle/ray-like trajectories); the wave domain (physical optics, acoustic and electromagnetic waves, quantum mechanics); and the semiclassical domain (the vast intermediate region between the first and second domain). The chapter first provides an overview of classical and semiclassical scattering domains before beginning with an analysis of the semiclassical formulation. It also considers the radial equation, scattering by a one-dimensional potential barrier, and the radially symmetric problem. Solutions for phase shifts and the potential well are presented.

TIME DELAY IN SEMICLASSICAL SCATTERING THEORY

1995 ◽  
Vol 10 (33) ◽  
pp. 2509-2517
Author(s):  
M.P. PATO ◽  
M.S. HUSSEIN
Keyword(s):  
Time Delay ◽  
Effective Potential ◽  
Scattering Theory ◽  
Semiclassical Approximation ◽  
Asymptotic Series ◽  
Complex Potentials ◽  
Nuclear Scattering ◽  
Asymptotic Evaluation ◽  
Repulsive Potentials ◽  
Semiclassical Scattering

An asymptotic evaluation of the time delay in the context of the semiclassical approximation is performed. It is shown that it is related to Stokes’s discontinuities of the asymptotic series caused by singularities determined by the turning points and points of equilibrium of the effective potential in the complex r-plane. The theory is applied to the repulsive potentials inversely proportional to the fourth and the sixth power of the distance. The case of complex potentials, usually considered in nuclear scattering is also discussed.

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