Spectral properties of the Dirichlet operator $\sum _{i=1}^{d}(-\partial _i^2)^{s}$∑i=1d(−∂i2)s on domains in d-dimensional Euclidean space

DOI10.1063/1.4823481zbMath1286.35181arXiv1301.4806OpenAlexW3098981966MaRDI QIDQ5410921

Agapitos N. Hatzinikitas

Publication date: 17 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4806

zbMATH Keywords

eigenvaluescoherent statesDirichlet pseudo-differential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Heat kernel (35K08)

Related Items (3)

Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well ⋮ A short proof of Weyl's law for fractional differential operators ⋮ The partition function of the Dirichlet operator \(\mathcal{D}_{2 s} = \sum_{i = 1}^d(-\partial_i^2)^s\) on a \(d\)-dimensional rectangle cavity

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