Refined Weyl Law for Homogeneous Perturbations of the Harmonic Oscillator

Moritz Doll, Oran Gannot, Jared Wunsch

Type: Article

Publication Date: 2018-02-08

Citations: 8

DOI: https://doi.org/10.1007/s00220-018-3100-5

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Communications in Mathematical Physics - View
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Works That Cite This (8)

Action	Title	Year	Authors
+ PDF Chat	Constants of Motion of the Harmonic Oscillator	2020	Fabián Belmonte Sebastián Cuéllar
+ PDF Chat	Weyl Law on Asymptotically Euclidean Manifolds	2020	Sandro Coriasco Moritz Doll
+ PDF Chat	Recurrence of singularities for second order isotropic pseudodifferential operators	2019	Moritz Doll
+ PDF Chat	Spectral Asymptotic Properties of Semiregular Non-commutative Harmonic Oscillators	2024	Marcello Malagutti Alberto Parmeggiani
+	On Spectral Properties of Certain Semiregular Systems of PDEs with Polynomial Coefficients	2024	Alberto Parmeggiani
+	Weyl Law on Asymptotically Euclidean Manifolds	2019	Sandro Coriasco Moritz Doll
+	Semiregular Non-commutative Harmonic Oscillators: Some Spectral Asymptotic Properties	2024	Marcello Malagutti Alberto Parmeggiani
+ PDF Chat	Schrödinger trace invariants for homogeneous perturbations of the harmonic oscillator	2020	Moritz Doll Steve Zelditch

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	On some oscillatory integral transformations in <i>L</i><sup>2</sup>(<i>R</i><sup><i>n</i></sup>)	1978	Kenji Asada Daisuke Fujiwara
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Quadratic hyperbolic operators	1991	Lars Hörmander
+	Asymptotique semi-classique du spectre d'hamiltoniens quantiques et trajectories classiques périodiques	1985	Vesslin Petkov Didier Robert C. Goulaouic
+	The Asymptotic Distribution of Eigenvalues of Partial Differential Operators	1996	Yu. Safarov Dmitri Vassiliev
+	A Symbol Class for Some Schrodinger Equations on R n	1985	Alan Weinstein
+	Reconstruction of singularities for solutions of Schr�dinger's equation	1983	Steven Zelditch
+ PDF Chat	The spectral function of an elliptic operator	1968	Lars Hörmander
+	On the spectrum of positive elliptic operators and periodic bicharacteristics	1975	J. J. Duistermaat Victor Guillemin