Semantic Scholar Open Access 2001 1195 sitasi

Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

A. Mostafazadeh

Lihat Sumber DOI

Abstrak

We introduce the notion of pseudo-Hermiticity and show that every Hamiltonian with a real spectrum is pseudo-Hermitian. We point out that all the PT-symmetric non-Hermitian Hamiltonians studied in the literature belong to the class of pseudo-Hermitian Hamiltonians, and argue that the basic structure responsible for the particular spectral properties of these Hamiltonians is their pseudo-Hermiticity. We explore the basic properties of general pseudo-Hermitian Hamiltonians, develop pseudosupersymmetric quantum mechanics, and study some concrete examples, namely the Hamiltonian of the two-component Wheeler–DeWitt equation for the FRW-models coupled to a real massive scalar field and a class of pseudo-Hermitian Hamiltonians with a real spectrum.

Topik & Kata Kunci

Physics Mathematics

Penulis (1)

A. Mostafazadeh

Format Sitasi

APA MLA BibTeX

Mostafazadeh, A. (2001). Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. https://doi.org/10.1063/1.1418246

Akses Cepat

Lihat di Sumber doi.org/10.1063/1.1418246

Informasi Jurnal

Tahun Terbit: 2001
Bahasa: en
Total Sitasi: 1195×
Sumber Database: Semantic Scholar
DOI: 10.1063/1.1418246
Akses: Open Access ✓