The relativistic rotated harmonic oscillator Articles uri icon

publication date

  • May 2025

start page

  • 1

end page

  • 17

issue

  • 2314, 20240920

volume

  • 481

abstract

  • We introduce a relativistic version of the non-self-adjoint operator obtained by a dilation analytic transformation of the quantum harmonic oscillator. While the spectrum is real and discrete, we show that the eigenfunctions do not form a basis and that the pseudospectra are highly non-trivial.

subjects

  • Mathematics

keywords

  • pseudospectrum; resolvent estimate; relativistic harmonic oscillator; non-self-adjoint dirac operator