scholarly journals Two-dimensional Raman and infrared vibrational spectroscopy for a harmonic oscillator system nonlinearly coupled with a colored noise bath

2004 ◽  
Vol 120 (1) ◽  
pp. 260-271 ◽  
Author(s):  
Tsuyoshi Kato ◽  
Yoshitaka Tanimura
2002 ◽  
Vol 14 (39) ◽  
pp. R1035-R1062 ◽  
Author(s):  
Sander Woutersen ◽  
Peter Hamm

2017 ◽  
Vol 8 (1) ◽  
Author(s):  
Matthijs R. Panman ◽  
Chris N. van Dijk ◽  
Adriana Huerta-Viga ◽  
Hans J. Sanders ◽  
Bert H. Bakker ◽  
...  

Mathematics ◽  
2018 ◽  
Vol 6 (10) ◽  
pp. 180 ◽  
Author(s):  
Laure Gouba

The system of a two-dimensional damped harmonic oscillator is revisited in the extended phase space. It is an old problem that has already been addressed by many authors that we present here with some fresh points of view and carry on a whole discussion. We show that the system is singular. The classical Hamiltonian is proportional to the first-class constraint. We pursue with the Dirac’s canonical quantization procedure by fixing the gauge and provide a reduced phase space description of the system. As a result, the quantum system is simply modeled by the original quantum Hamiltonian.


2013 ◽  
Vol 52 (24) ◽  
pp. 14294-14298 ◽  
Author(s):  
Matthijs R. Panman ◽  
Jannie Vos ◽  
Vladica Bocokić ◽  
Rosalba Bellini ◽  
Bas de Bruin ◽  
...  

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