2011/08/16 by Véronique Fischer, Fischer, Veronique
Mathematics · Physics and Astronomy · #22E25 #35Q40 #43A80 #Advanced Differential Geometry Research #Advanced Topics in Algebra #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Representation Theory (math.RT) #Spectral Theory (math.SP)
paper · pdf · doi:10.48550/arxiv.1108.3275
openalex publication_date 2011/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this short note, we determine the spectrum of the Heisenberg oscillator which is the operator defined as L + |z|2 on the 3-dimensional Heisenberg group H1=\mathbb C × \mathbb R where L stands for the positive sublaplacian and z for the complex variable of a point of the group.