Exact PTsymmetry is equivalent to Hermiticity
Abstract
We show that a quantum system possessing an exact antilinear symmetry, in particular PTsymmetry, is equivalent to a quantum system having a Hermitian Hamiltonian. We construct the unitary operator relating an arbitrary nonHermitian Hamiltonian with exact PTsymmetry to a Hermitian Hamiltonian. We apply our general results to PTsymmetry in finite dimensions and give the explicit form of the abovementioned unitary operator and Hermitian Hamiltonian in two dimensions. Our findings lead to the conjecture that nonHermitian CPTsymmetric field theories are equivalent to certain nonlocal Hermitian field theories.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 June 2003
 DOI:
 10.1088/03054470/36/25/312
 arXiv:
 arXiv:quantph/0304080
 Bibcode:
 2003JPhA...36.7081M
 Keywords:

 Quantum Physics;
 Mathematical Physics
 EPrint:
 Few typos have been corrected and a reference updated