Journal
PHYSICS LETTERS B
Volume 640, Issue 1-2, Pages 52-56Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2006.07.028
Keywords
quasi-Hermitian; non-Hermitian; PT-symmetric quantum mechanics; metric; charge operator
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For a specific exactly solvable 2 x 2 matrix model with a PT-symmetric Hamiltonian possessing a real spectrum, we construct all the eligible physical metrics Theta > 0 and show that none of them admits a factorization Theta = CP in terms of an involutive charge operator C. Alternative ways of restricting the physical metric to a unique form are briefly discussed. (c) 2006 Elsevier B.V. All rights reserved.
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