Spectral invariants for coupled spin-oscillators

San Vũ Ngọc[1]

  • [1] IRMAR (UMR 6625) Université de Rennes 1 Campus de Beaulieu 35042 Rennes cedex France

Séminaire Laurent Schwartz — EDP et applications (2011-2012)

  • Volume: 2011-2012, page 1-18
  • ISSN: 2266-0607

Abstract

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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.

How to cite

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Vũ Ngọc, San. "Spectral invariants for coupled spin-oscillators." Séminaire Laurent Schwartz — EDP et applications 2011-2012 (2011-2012): 1-18. <http://eudml.org/doc/251152>.

@article{VũNgọc2011-2012,
abstract = {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.},
affiliation = {IRMAR (UMR 6625) Université de Rennes 1 Campus de Beaulieu 35042 Rennes cedex France},
author = {Vũ Ngọc, San},
journal = {Séminaire Laurent Schwartz — EDP et applications},
keywords = {inverse spectral theory; Schrödinger operator; Morse function; integrable systems; spin-oscillator coupling},
language = {eng},
pages = {1-18},
publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Spectral invariants for coupled spin-oscillators},
url = {http://eudml.org/doc/251152},
volume = {2011-2012},
year = {2011-2012},
}

TY - JOUR
AU - Vũ Ngọc, San
TI - Spectral invariants for coupled spin-oscillators
JO - Séminaire Laurent Schwartz — EDP et applications
PY - 2011-2012
PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2011-2012
SP - 1
EP - 18
AB - 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.
LA - eng
KW - inverse spectral theory; Schrödinger operator; Morse function; integrable systems; spin-oscillator coupling
UR - http://eudml.org/doc/251152
ER -

References

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