Coupled harmonic oscillator models for correlated plasmons in one-dimensional and quasi-one-dimensional systems

Author(s):  
Aarushi Khandelwal ◽  
Shazed Mohammad Tashrif ◽  
Andrivo Rusydi
1987 ◽  
Vol 179 (1) ◽  
pp. 101-118 ◽  
Author(s):  
Frederick M. Leibsle ◽  
Richard S. Sorbello ◽  
Robert G. Greenler

2011 ◽  
Vol 110-116 ◽  
pp. 3750-3754
Author(s):  
Jun Lu ◽  
Xue Mei Wang ◽  
Ping Wu

Within the framework of the quantum phase space representation established by Torres-Vega and Frederick, we solve the rigorous solutions of the stationary Schrödinger equations for the one-dimensional harmonic oscillator by means of the quantum wave-mechanics method. The result shows that the wave mechanics and the matrix mechanics are equivalent in phase space, just as in position or momentum space.


2016 ◽  
Vol 01 (01) ◽  
Author(s):  
Kenfack Sadem Christian ◽  
Nguimeya GP ◽  
Talla PK ◽  
Fotue AJ ◽  
Fobasso MFC ◽  
...  

Author(s):  
A. J. Allnutt

SynopsisThe Langevin equation for the harmonic oscillator is solved by a different method from that normally used. The approximate solution for the case of the slightly anharmonic oscillator is then obtained by an iterative procedure and the results are illustrated by a numerical example based on a simple model of a crystalline solid.


2018 ◽  
Vol 33 (26) ◽  
pp. 1850150 ◽  
Author(s):  
Won Sang Chung ◽  
Hassan Hassanabadi

Based on the one-dimensional quantum mechanics on (anti)-de Sitter background [W. S. Chung and H. Hassanabadi, Mod. Phys. Lett. A 32, 26 (2107)], we discuss the Ramsauer–Townsend effect. We also formulate the WKB method for the quantum mechanics on (anti)-de Sitter background to discuss the energy level of the quantum harmonic oscillator and quantum bouncer.


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