Pseudo-Hermiticity and generalized <i>PT</i>- and <i>CPT</i>-symmetries

DOI PDF 被引用文献3件
  • Ali Mostafazadeh
    Department of Mathematics, Koç University, Rumelifeneri Yolu, 34450 Sariyer, Istanbul, Turkey

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公開日
2003-03-01
DOI
  • 10.1063/1.1539304
公開者
AIP Publishing

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説明

<jats:p>We study certain linear and antilinear symmetry generators and involution operators associated with pseudo-Hermitian Hamiltonians and show that the theory of pseudo-Hermitian operators provides a simple explanation for the recent results of Bender, Brody and Jones (quant-ph/0208076) on the CPT-symmetry of a class of PT-symmetric non-Hermitian Hamiltonians. We present a natural extension of these results to the class of diagonalizable pseudo-Hermitian Hamiltonians H with a discrete spectrum. In particular, we introduce generalized parity (𝒫), time-reversal (𝒯), and charge-conjugation (𝒞) operators and establish the 𝒫𝒯- and 𝒞𝒫𝒯-invariance of H.</jats:p>

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