On time-dependent scattering theory in Krein spaces

1981 ◽  
Vol 102 (1) ◽  
pp. 107-125 ◽  
Author(s):  
Michael Demuth
Keyword(s):  
Scattering Theory ◽  
Time Dependent ◽  
Krein Spaces

scholarly journals Time-dependent scattering theory on manifolds

2019 ◽  
Vol 277 (5) ◽  
pp. 1423-1468
Author(s):  
K. Ito ◽  
E. Skibsted
Keyword(s):  
Scattering Theory ◽  
Time Dependent

scholarly journals Stochastic scattering theory for excitation-induced dephasing: Time-dependent nonlinear coherent exciton lineshapes

2020 ◽  
Vol 153 (16) ◽  
pp. 164706
Author(s):  
Ajay Ram Srimath Kandada ◽  
Hao Li ◽  
Félix Thouin ◽  
Eric R. Bittner ◽  
Carlos Silva
Keyword(s):  
Scattering Theory ◽  
Time Dependent ◽  
Dephasing Time

scholarly journals SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS

2013 ◽  
Vol 25 (02) ◽  
pp. 1350003 ◽  
Author(s):  
S. RICHARD ◽  
R. TIEDRA DE ALDECOA
Keyword(s):  
Spectral Analysis ◽  
Time Delay ◽  
Hilbert Spaces ◽  
Scattering Theory ◽  
Asymptotic Completeness ◽  
Time Dependent ◽  
Resolvent Estimates ◽  
Wave Operators ◽  
Use Of Time ◽  
Stationary Scattering

We review the spectral analysis and the time-dependent approach of scattering theory for manifolds with asymptotically cylindrical ends. For the spectral analysis, higher order resolvent estimates are obtained via Mourre theory for both short-range and long-range behaviors of the metric and the perturbation at infinity. For the scattering theory, the existence and asymptotic completeness of the wave operators is proved in a two-Hilbert spaces setting. A stationary formula as well as mapping properties for the scattering operator are derived. The existence of time delay and its equality with the Eisenbud–Wigner time delay is finally presented. Our analysis mainly differs from the existing literature on the choice of a simpler comparison dynamics as well as on the complementary use of time-dependent and stationary scattering theories.

Asymptotische Mehrteilchen-Feldoperatoren für phänomenologische Potentiale

1968 ◽  
Vol 23 (11) ◽  
pp. 1834-1840
Author(s):  
Peter Natusch
Keyword(s):  
Hilbert Space ◽  
Angular Momentum ◽  
Scattering Theory ◽  
Time Dependent ◽  
Asymptotic Condition ◽  
Multichannel Scattering ◽  
Theoretical Formulation ◽  
Special Subset ◽  
Dependent Field

In W. Sandhas’ field theoretical formulation1 of the nonrelativistic multichannel scattering theory the existence of asymptotic multiparticle field operators is discussed for phenomenological potentials. For potentials with momentum-dependent terms it is necessary to treat the convergence of time-dependent field operators on a special subset, — dense in the Hilbert space of states; concerning the position-dependency of tensor- and angular momentum-forces it is necessary to make use of a sharpened asymptotic condition.

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