Upper and lower bounds on scattering matrix elements for complex systems

1963 ◽  
Vol 45 ◽  
pp. 443-448 ◽  
Author(s):  
L.M. Delves
Keyword(s):  
Complex Systems ◽  
Lower Bounds ◽  
Scattering Matrix ◽  
Upper And Lower Bounds ◽  
Matrix Elements ◽  
Scattering Matrix Elements

scholarly journals FROM ANDERSON LOCALIZATION TO MESOSCOPIC PHYSICS

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1555-1576 ◽  
Author(s):  
Markus Büttiker ◽  
Michael Moskalets
Keyword(s):  
Electron Transport ◽  
Anderson Localization ◽  
Transport Phenomena ◽  
Scattering Matrix ◽  
Scaling Theory ◽  
Single Electron ◽  
Mesoscopic Physics ◽  
Matrix Elements ◽  
Electron Interference ◽  
Scattering Matrix Elements

In the late seventies an increasing interest in the scaling theory of Anderson localization led to new efforts to understand the conductance of systems which scatter electrons elastically. The conductance and its relation to the scattering matrix emerged as an important subject. This, coupled with the desire to find explicit manifestations of single electron interference, led to the emergence of mesoscopic physics. We review electron transport phenomena which can be expressed elegantly in terms of the scattering matrix. Of particular interest are phenomena which depend not only on transmission probabilities but on both amplitude and phase of scattering matrix elements.

scholarly journals Scattering matrix elements of biological particles measured in a flow through system: theory and practice

1989 ◽  
Vol 28 (10) ◽  
pp. 1752 ◽  
Author(s):  
Peter M. A. Sloot ◽  
Alfons G. Hoekstra ◽  
Hans van der Liet ◽  
Carl G. Figdor
Keyword(s):  
System Theory ◽  
Scattering Matrix ◽  
Theory And Practice ◽  
Matrix Elements ◽  
Biological Particles ◽  
Flow Through ◽  
Scattering Matrix Elements

scholarly journals OSCILLATIONS OF FASTER THAN LIGHT MAJORANA NEUTRINOS: A CAUSAL FIELD THEORY

2001 ◽  
Vol 16 (33) ◽  
pp. 2129-2141 ◽  
Author(s):  
NGEE-PONG CHANG
Keyword(s):  
Field Theory ◽  
Canonical Quantization ◽  
Scattering Matrix ◽  
Majorana Neutrino ◽  
Matrix Elements ◽  
Majorana Neutrinos ◽  
Scattering Matrix Elements ◽  
Faster Than Light

In this paper, we carry out the canonical quantization of the field theory of an interacting tachyonic Majorana neutrino. We show how micro-causality is preserved in the physical scattering matrix elements between the in and out vacua. The phenomenology of this radical proposal is nevertheless compatible with normal timelike oscillations.

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