Quantization of pseudo-hermitian systems

• URL: http://arxiv.org/abs/2312.14906v1
• Date: Fri, 22 Dec 2023 18:33:19 GMT
• Title: Quantization of pseudo-hermitian systems
• Authors: M.C. Baldiotti, R. Fresneda
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• 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.

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