Spectral invariants for coupled spin-oscillators
Séminaire Laurent Schwartz — EDP et applications (2011-2012), Talk no. 7, 18 p.

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.

DOI: 10.5802/slsedp.5
Vũ Ngọc, San 1

1 IRMAR (UMR 6625) Université de Rennes 1 Campus de Beaulieu 35042 Rennes cedex France
     author = {V\~{u} Ngọc, San},
     title = {Spectral invariants for coupled spin-oscillators},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:7},
     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://www.numdam.org/articles/10.5802/slsedp.5/}
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Vũ Ngọc, San. Spectral invariants for coupled spin-oscillators. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Talk no. 7, 18 p. doi : 10.5802/slsedp.5. http://www.numdam.org/articles/10.5802/slsedp.5/

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