This text deals with inverse spectral theory in a semiclassical setting. Given a quantum system, the haunting question is “What interesting quantities can be discovered on the spectrum that can help to characterize the system ?” The general framework will be semiclassical analysis, and the issue is to recover the classical dynamics from the quantum spectrum. The coupling of a spin and an oscillator is a fundamental example in physics where some nontrivial explicit calculations can be done.
@article{SLSEDP_2011-2012____A7_0,
author = {V\~{u} Ngọc, San},
title = {Spectral invariants for coupled spin-oscillators},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:7},
pages = {1--18},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2011-2012},
doi = {10.5802/slsedp.5},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/slsedp.5/}
}
TY - JOUR AU - Vũ Ngọc, San TI - Spectral invariants for coupled spin-oscillators JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:7 PY - 2011-2012 SP - 1 EP - 18 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://archive.numdam.org/articles/10.5802/slsedp.5/ DO - 10.5802/slsedp.5 LA - en ID - SLSEDP_2011-2012____A7_0 ER -
%0 Journal Article %A Vũ Ngọc, San %T Spectral invariants for coupled spin-oscillators %J Séminaire Laurent Schwartz — EDP et applications %Z talk:7 %D 2011-2012 %P 1-18 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U http://archive.numdam.org/articles/10.5802/slsedp.5/ %R 10.5802/slsedp.5 %G en %F SLSEDP_2011-2012____A7_0
Vũ Ngọc, San. Spectral invariants for coupled spin-oscillators. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 7, 18 p. doi : 10.5802/slsedp.5. http://archive.numdam.org/articles/10.5802/slsedp.5/
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