Quantization of pseudo-hermitian systems

被引：0

作者：

Baldiotti, M. C. ^{[1
]}

Fresneda, R. ^{[2
]}

机构：

[1] Londrina State Univ UEL, Phys Dept, Londrina, Brazil

[2] Fed Univ ABC, Ctr Math Computat & Cognit, UFABC, Santo Andre, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2024年 / 57卷 / 29期

基金：

巴西圣保罗研究基金会;

关键词：

canonical quantization; pseudo-hermitian operators; pseudoclassical theory; Heisenberg interaction; PT-SYMMETRY; HAMILTONIANS;

D O I：

10.1088/1751-8121/ad5bc9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work is a generalization of (Raimundo et al 2021 Phys. Rev. A 103 022201) 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.

引用

页数：16

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