Theory of Quantum Resonances II: The Shape Resonance Model

Author(s):  
P. D. Hislop ◽  
I. M. Sigal
2003 ◽  
Vol 68 (3) ◽  
pp. 529-553 ◽  
Author(s):  
Ivana Paidarová ◽  
Philippe Durand

The wave operator theory of quantum dynamics is reviewed and applied to the study of line profiles and to the determination of the dynamics of interacting resonances. Energy-dependent and energy-independent effective Hamiltonians are investigated. The q-reversal effect in spectroscopy is interpreted in terms of interfering Fano profiles. The dynamics of an hydrogen atom subjected to a strong static electric field is revisited.


2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Xiangzhong Zeng ◽  
Lyuzhou Ye ◽  
Daochi Zhang ◽  
Rui-Xue Xu ◽  
Xiao Zheng ◽  
...  

2021 ◽  
Vol 145 ◽  
pp. 110800
Author(s):  
Wenyue Zhang ◽  
Peiming Shi ◽  
Mengdi Li ◽  
Dongying Han

2009 ◽  
Vol 79 (7) ◽  
Author(s):  
Krzysztof M. Graczyk ◽  
Jan T. Sobczyk
Keyword(s):  

1986 ◽  
Vol 34 (3) ◽  
pp. 1682-1685 ◽  
Author(s):  
D. Frye ◽  
Lloyd Armstrong
Keyword(s):  

1972 ◽  
Vol 5 (17) ◽  
pp. 1073-1078
Author(s):  
T. Roy ◽  
A. Roy Chowdhury

2016 ◽  
Vol 46 (3) ◽  
pp. 313-359 ◽  
Author(s):  
Marta Jordi Taltavull

One model, the resonance model, shaped scientific understanding of optical dispersion from the early 1870s to the 1920s, persisting across dramatic changes in physical conceptions of light and matter. I explore the ways in which the model was transmitted across these conceptual divides by analyzing the use of the model both in the development of theories of optical dispersion and in the interpretation of experimental data. Crucial to this analysis is the integration of the model into quantum theory because of the conceptual incompatibility between the model and quantum theory. What is more, a quantum understanding of optical dispersion set the grounds for the emergence of the first theories of quantum mechanics in 1925. A long-term history of the model’s transmission from the 1870s to the 1920s illuminates the ways in which the continuity of knowledge is possible across these discontinuities.


1970 ◽  
Vol 48 (12) ◽  
pp. 1426-1429 ◽  
Author(s):  
K. Nakazawa

In the narrow resonance approximation, conditions of duality and crossing symmetry are derived using the finite energy sum rule for an amplitude which is completely determined as a function of two complex variables by its meromorphic part in one of these variables. As an example, the one term Veneziano amplitude is discussed.


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