Asymptotic and universal spectral estimates with applications in many-body quantum mechanics and spectral shape optimization

• Main Author: Larson, Simon
• Format: Doctoral or Postdoctoral Thesis
• Language: English
• Published: KTH, Matematik (Avd.) 2019
• Subjects: Spectral theory; shape optimization; semiclassical asymptotics; spectral inequalities; quantum mechanics; Mathematical Analysis; Matematisk analys; Laplace; laptev
• Online Access: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-249837

This thesis consists of eight papers primarily concerned with the quantitative study of the spectrum of certain differential operators. The majority of the results split into two categories. On the one hand Papers B-E concern questions of a spectral-geometric nature, namely, the relation of the geom...