A Physical Realization of the Generalized PT-, C-, and CPT-Symmetries and the Position Operator for Klein-Gordon Fields
Mostafazadeh, Ali
arXiv, 0307059 / Harvested from arXiv
Text on arXiv
Generalized parity (P), time-reversal (T), and charge-conjugation (C)operators were initially definedin the study of the pseudo-Hermitian Hamiltonians. We construct a concrete realization of these operators for Klein-Gordon fields and show that in this realization PT and C operators respectively correspond to the ordinary time-reversal and charge-grading operations. Furthermore, we present a complete description of the quantum mechanics of Klein-Gordon fields that is based on the construction of a Hilbert space with a relativistically invariant, positive-definite, and conserved inner product. In particular we offer a natural construction of a position operator and the corresponding localized and coherent states. The restriction of this position operator to the positive-frequency fields coincides with the Newton-Wigner operator. Our approach does not rely on the conventional restriction to positive-frequency fields. Yet it provides a consistent quantum mechanical description of Klein-Gordon fields with a genuine probabilistic interpretation.
Publié le : 2003-07-08
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0307059,
     author = {Mostafazadeh, Ali},
     title = {A Physical Realization of the Generalized PT-, C-, and CPT-Symmetries
  and the Position Operator for Klein-Gordon Fields},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307059}
}

Mostafazadeh, Ali. A Physical Realization of the Generalized PT-, C-, and CPT-Symmetries
  and the Position Operator for Klein-Gordon Fields. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307059/