scholarly journals Generalization of Wigner time delay to subunitary scattering systems

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Lei Chen ◽  
Steven M. Anlage ◽  
Yan V. Fyodorov
Keyword(s):  
Time Delay ◽  
Scattering Systems

scholarly journals On the Lax-Phillips scattering theory

1981 ◽  
Vol 87 (3-4) ◽  
pp. 219-230 ◽  
Author(s):  
W. O. Amrein ◽  
M. Wollenberg
Keyword(s):  
Time Delay ◽  
Scattering Theory ◽  
Scattering Matrix ◽  
Scattering Operator ◽  
Simple Description ◽  
Wave Operators ◽  
Scattering Systems ◽  
Delay Operator

SynopsisWe give a simple description of the wave operators appearing in the Lax-Phillips scattering theory. This is used to derive a relation between the scattering matrix and a kind of time delay operator and to characterize all scattering systems having the same scattering operator.

scholarly journals Time-delay of classical and quantum scattering processes: a conceptual overview and a general definition

Open Physics ◽  
2012 ◽  
Vol 10 (2) ◽  
Author(s):  
Massimiliano Sassoli de Bianchi
Keyword(s):  
Quantum Mechanics ◽  
Time Delay ◽  
General Definition ◽  
Incoming Wave ◽  
Quantum Time ◽  
Delay Times ◽  
The Right ◽  
Conceptual Overview ◽  
Scattering Systems ◽  
Classical And Quantum Mechanics

AbstractWe present a step by step introduction to the notion of time-delay in classical and quantum mechanics, with the aim of clarifying its foundation at a conceptual level. In doing so, we motivate the introduction of the concepts of “fuzzy” and “free-flight” sojourn times that we use to provide the most general possible definition for the quantum time-delay, valid for simple and multichannel scattering systems, with or without conditions on the observation of the scattering particle, and for incoming wave packets whose energy can be smeared out or sharply peaked (fixed energy). We conclude our conceptual analysis by presenting what we think is the right interpretation of the concepts of sojourn and delay times in quantum mechanics, explaining why, in ultimate analysis, they should not be called “times.”

Sign in / Sign up

Export Citation Format

Share Document