exactly soluble models
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2020 ◽  
Vol 4 ◽  
pp. 121
Author(s):  
Dennis Bonatsos ◽  
C. Daskaloyannis

A generalized deformed oscillator giving the same spectrum as the Morse potential is con­ structed through the use of quantum algebraic techniques. The model of n coupled anharmonic oscillators of Iachello and Oss, suitable for the description of vibrational spectra of polyatomic molecules, is subsequently written in terms of such generalized deformed oscilla­tors. In addition to clarifying the relation of the model of Iachello and Oss to other models using coupled oscillators for the description of vibrational molecular spectra, the present formalism allows for the construction of a large class of exactly soluble models with no extra computational effort. As an example, the way of including a coupling of the Darling-Dennison type is shown. Nuclear models giving good descriptions of vibrational spectra are reviewed and the need of modifying the SUq(2) model in order to extend its region of applicability towards the vibrational limit is discussed.


2020 ◽  
Author(s):  
Luiz C L Botelho

We analyze military bridges structure response to a random loading in simple exactly soluble models.


2011 ◽  
Vol 84 (23) ◽  
Author(s):  
Michael Levin ◽  
F. J. Burnell ◽  
Maciej Koch-Janusz ◽  
Ady Stern

2000 ◽  
Vol 61 (23) ◽  
pp. 15676-15687 ◽  
Author(s):  
J. Spałek ◽  
R. Podsiadły ◽  
W. Wójcik ◽  
A. Rycerz

1999 ◽  
pp. 209-231
Author(s):  
Giovanni Gallavotti

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