Quantum theory of anharmonic oscillators: From independent oscillators to spherically coupled oscillators

1978 ◽  
Vol 69 (1) ◽  
pp. 204 ◽  
Author(s):  
F. T. Hioe
Keyword(s):  
Quantum Theory ◽  
Coupled Oscillators ◽  
Anharmonic Oscillators

Quantum theory of anharmonic oscillators. II. Energy levels of oscillators with x2α anharmonicity

1976 ◽  
Vol 17 (7) ◽  
pp. 1320-1337 ◽  
Author(s):  
F. T. Hioe ◽  
Don MacMillen ◽  
E. W. Montroll
Keyword(s):  
Quantum Theory ◽  
Energy Levels ◽  
Anharmonic Oscillators

scholarly journals Vibrational molecular and nuclear spectra in terms of quantum algebras

2020 ◽  
Vol 4 ◽  
pp. 121
Author(s):  
Dennis Bonatsos ◽  
C. Daskaloyannis
Keyword(s):  
Vibrational Spectra ◽  
Coupled Oscillators ◽  
Its Region ◽  
Computational Effort ◽  
Molecular Spectra ◽  
Anharmonic Oscillators ◽  
Deformed Oscillator ◽  
Nuclear Models ◽  
Present Formalism ◽  
Exactly Soluble Models

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.

Quantum theory of light in nonlinear media with dispersion and absorption

1998 ◽  
Vol 45 (2) ◽  
pp. 377-402 ◽  
Author(s):  
EDUARD SCHMIDT , JOHN JEFFERS , STEPHEN M.
Keyword(s):  
Quantum Theory ◽  
Nonlinear Media
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