Anharmonic oscillators in classical and quantum mechanics with applications to the perturbed Kepler problem

1996 ◽  
pp. 35-63
Author(s):  
Martin Kummer
Keyword(s):  
Quantum Mechanics ◽  
Kepler Problem ◽  
Anharmonic Oscillators ◽  
Perturbed Kepler Problem ◽  
Classical And Quantum Mechanics

PERIODIC ORBITS AND CHAOS IN THE CLASSICAL AND QUANTUM MECHANICS OF MOLECULAR SYSTEMS

1999 ◽  
Vol 09 (12) ◽  
pp. 2285-2290
Author(s):  
J. C. LOSADA ◽  
J. M. ESTEBARANZ ◽  
R. M. BENITO ◽  
F. J. ARRANZ ◽  
F. BORONDO
Keyword(s):  
Quantum Mechanics ◽  
Molecular System ◽  
Anharmonic Oscillators ◽  
Vibrational Dynamics ◽  
Molecular Systems ◽  
Quantum Behavior ◽  
Classical Quantum ◽  
Points Of View ◽  
Quantum Correspondence ◽  
Classical And Quantum Mechanics

A study on the classical-quantum correspondence in the LiNC/LiCN molecular system is presented. A resonance playing a very important role in the vibrational dynamics of this system of coupled anharmonic oscillators from both points of view has been found, and some aspects of its classical and quantum behavior discussed.

scholarly journals Regularized variational principles for the perturbed Kepler problem

2021 ◽  
Vol 383 ◽  
pp. 107694
Author(s):  
Vivina Barutello ◽  
Rafael Ortega ◽  
Gianmaria Verzini
Keyword(s):  
Variational Principles ◽  
Kepler Problem ◽  
Perturbed Kepler Problem
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