Qualitative properties of the peripheral spectrum
Jaroslav Zemánek (2007)
Banach Center Publications
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Displaying similar documents to “Spectrum generating functions for oscillators in Wigner's quantization”
Qualitative properties of the peripheral spectrum
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Recherche Coopérative sur Programme n°25
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Acta Arithmetica
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The joint approximate spectrum of a finite system of elements of a C*-algebra
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F. M. Dekking (1976)
Publications mathématiques et informatique de Rennes
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Correction to "Method od orthogonal projections and approximation of the spectrum of a bounded operator" Studia Math. 65 (1979), 21-29
Andrzej Pokrzywa (1985)
Studia Mathematica
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On the generalized Kato spectrum
Benharrat, Mohammed, Messirdi, Bekkai (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 47A10. We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
Taylor Spectrum and Characteristic Functions of Commuting 2-Contractions
Bendoukha, Berrabah (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 47A10, 47A13. In this paper, we give a description of Taylor spectrum of commuting 2-contractions in terms of characteritic functions of such contractions. The case of a single contraction obtained by B. Sz. Nagy and C. Foias is generalied in this work.
On the largest generalized joint spectrum
Vladimír Müller, Andrzej Sołtysiak (1988)
Commentationes Mathematicae Universitatis Carolinae
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On one subset M. Schechter's essential spectrum
V. Rakočević (1981)
Matematički Vesnik
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Spectral invariants for coupled spin-oscillators
San Vũ Ngọc (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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This text deals with 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.