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Quantization of pseudo-hermitian systems

Quantum Physics 2024-07-17 v1

Abstract

This work is a generalization of \cite{baldiotti2021} to Grassmann algebras of arbitrary dimensions. Here we present a covariant quantization scheme for pseudoclassical theories focused on non-hermitian quantum mechanics. The quantization maps canonically related pseudoclassical theories to equivalent quantum realizations in arbitrary dimensions. We apply the formalism to the problem of two coupled spins with Heisenberg interaction.

Keywords

Cite

@article{arxiv.2312.14906,
  title  = {Quantization of pseudo-hermitian systems},
  author = {M. C. Baldiotti and R. Fresneda},
  journal= {arXiv preprint arXiv:2312.14906},
  year   = {2024}
}

Comments

17 pages

R2 v1 2026-06-28T14:00:12.421Z