Numerical Range of Left Invariant Lorentzian Metrics on the Heisenberg Group H₃ of Dimension Three

Authors : Derkaoui RAFİK, Abderrahmane SMAIL

Pages : 81-86

View : 18 | Download : 9

Publication Date : 2021-11-01

Article Type : Research Paper

Abstract :The study of eigenvalues and numerical range appears in diffrent scientific fields. We can cite for example the domain of physics, spectral theory, the stability of dynamics electricity, the quantum mechanics. In this paper, we find the spectrum, pseudospectrum and numerical range of left invariant Lorentzian metrics on the Heisenberg group H3 of dimension three. An example is given for metrics g1 and g2 while the second example is provided to support g3.
Keywords : Heisenberg group, Lorentz metric, Bounded operator, Spectrum, Pseudo spectrum, Numerical range