Do different deformations lead to the same spectrum?

DOI10.1016/0393-0440(85)90018-XzbMath0617.58041MaRDI QIDQ1822114

Simone Gutt, Michel Cahen, Moshé Flato, Daniel Sternheimer

Publication date: 1985

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

quantum operators* quantization* spectrum

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of global analysis to the sciences (58Z05) General mathematical topics and methods in quantum theory (81Q99)

Related Items (5)

Least uncertainty principle in deformation quantization ⋮ Remarks on generalized Fedosov algebras ⋮ Non-formal star-exponential on contracted one-sheeted hyperboloids ⋮ The Moyal product and spectral theory for a class of infinite dimensional matrices ⋮ Wick type deformation quantization of Fedosov manifolds

Cites Work

• Unnamed Item
• An explicit *-product on the cotangent bundle of a Lie group
• Sur les algèbres formelles associees par déformation à une variété symplectique
• Deformation theory and quantization. II: Physical applications
• On the deformation of rings and algebras
• Invariant *-product quantization of the one-dimensional Kepler problem

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