Friedrichs extension and min–max principle for operators with a gap

Semibounded symmetric operators have a distinguished self-adjoint extension, the Friedrichs extension. The eigenvalues of the Friedrichs extension are given by a variational principle that involves only the domain of the symmetric operator. Although Dirac operators describing relativistic particles...

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Bibliographic Details
Main Authors: Lukas Schimmer, Jan Philip Solovej, Sabiha Tokus
Format: Default Article
Published: 2019
Subjects:
Mathematical physics
Physical sciences
Nuclear and plasma physics
Particle and high energy physics
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics, Particles & Fields
Physics, Mathematical
Physics
Mathematical Physics
Self-adjoint extension
Spectral gap
Variational principle
Schur complement
Dirac operator
Atiyah-Patodi-Singer boundary condition
Online Access:https://hdl.handle.net/2134/24591999.v1
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https://hdl.handle.net/2134/24591999.v1

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