A periodic orbit analysis of the vibrationally highly excited LiNC/LiCN: A comparison with quantum mechanics

1996 ◽  
Vol 104 (8) ◽  
pp. 2921-2931 ◽  
Author(s):  
R. Prosmiti ◽  
S. C. Farantos ◽  
R. Guantes ◽  
F. Borondo ◽  
R. M. Benito
Keyword(s):  
Quantum Mechanics ◽  
Periodic Orbit ◽  
Orbit Analysis

Model identification by periodic-orbit analysis for NMR-laser chaos

1991 ◽  
Vol 67 (17) ◽  
pp. 2244-2247 ◽  
Author(s):  
L. Flepp ◽  
R. Holzner ◽  
E. Brun ◽  
M. Finardi ◽  
R. Badii
Keyword(s):  
Periodic Orbit ◽  
Model Identification ◽  
Orbit Analysis

Periodic orbit analysis for the delayed Filippov system

2018 ◽  
Vol 146 (11) ◽  
pp. 4667-4682 ◽  
Author(s):  
Zuowei Cai ◽  
Jianhua Huang ◽  
Lihong Huang
Keyword(s):  
Periodic Orbit ◽  
Orbit Analysis

Periodic orbit analysis of the Lorenz attractor

1994 ◽  
Vol 93 (2) ◽  
pp. 259-266 ◽  
Author(s):  
Bruno Eckhardt ◽  
Gerolf Ott
Keyword(s):  
Periodic Orbit ◽  
Lorenz Attractor ◽  
Orbit Analysis

scholarly journals Periodic orbit analysis of a system with continuous symmetry—A tutorial

2015 ◽  
Vol 25 (7) ◽  
pp. 073112 ◽  
Author(s):  
Nazmi Burak Budanur ◽  
Daniel Borrero-Echeverry ◽  
Predrag Cvitanović
Keyword(s):  
Periodic Orbit ◽  
Continuous Symmetry ◽  
Orbit Analysis

When is the lowest order WKB quantization exact?

2006 ◽  
Vol 84 (6-7) ◽  
pp. 573-581 ◽  
Author(s):  
R K Bhaduri ◽  
D W.L. Sprung ◽  
A Suzuki
Keyword(s):  
Quantum Mechanics ◽  
Periodic Orbit ◽  
Density Of States ◽  
Maslov Index ◽  
Supersymmetric Quantum Mechanics ◽  
Exact Results ◽  
Quantization Rule ◽  
Classical Action ◽  
Shape Invariant ◽  
03.65 Sq

First, two conditions are specified for the lowest order Wentzel–Kramers–Brillouin quantization rule to yield exact results. These rules are related to the periodic orbit decomposition of the quantum density of states. This approach is then applied to supersymmetric quantum mechanics. It leads to a new derivation of the result that shape-invariant potentials give exact results when the classical action is calculated with the square of the super potential, but without the Maslov index or the Langer correction.PACS Nos.: 03.65.Sq, 12.60.Jv

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