Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians

被引：26

作者：

Alexandre, Jean ^{[1
]}

Bender, Carl M. ^{[2
]}

机构：

[1] Kings Coll London, Dept Phys, London WC2R 2LS, England

[2] Washington Univ, Dept Phys, St Louis, MO 63130 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 18期

关键词：

non-Hermitian; Foldy-Wouthuysen transformation; Lorentz symmetry breaking;

D O I：

10.1088/1751-8113/48/18/185403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two non-Hermitian fermion models are proposed and analyzed by using Foldy-Wouthuysen transformations. One model has Lorentz symmetry breaking and the other has a non-Hermitian mass term. It is shown that each model has real energies in a given region of parameter space, where they have a locally conserved current.

引用

页码：1 / 8

页数：8

共 6 条

[1] Non-Hermitian Lagrangian for Quasirelativistic Fermions [J].

Alexandre, Jean .

ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014

[2] Absence of long-wavelength Cerenkov radiation with isotropic Lorentz and CPT violation [J].

Altschul, Brett .

PHYSICAL REVIEW D, 2014, 90 (02)

[3]

Bender C M, 2014, ARXIV14093828

[4] Dual PT-symmetric quantum field theories [J].

Bender, CM ;

Jones, HF ;

Rivers, RJ .

PHYSICS LETTERS B, 2005, 625 (3-4) :333-340

[5]

Kostelecky VA, 2001, PHYS REV D, V63, DOI 10.1103/PhysRevD.63.065008

[6] Strong equivalence, Lorentz and CPT violation, anti-hydrogen spectroscopy and gamma-ray burst polarimetry [J].

Shore, GM .

NUCLEAR PHYSICS B, 2005, 717 (1-2) :86-118

← 1 →