PT-Symmetric Quantum Mechanics: A Precise and Consistent Formulation

Details PT-Symmetric Quantum Mechanics: A Precise and Consistent Formulation PT-Symmetric Quantum Mechanics: A Precise and Consistent Formulation

2004-07-27

arxiv.org/abs/quant-ph/0407213v1

Czech J. Phys. 54 (2004) 1125-1133

Physics

Quantum Physics

9 pages, to appear in Czech. J. Phys

Scientific paper

10.1023/B:CJOP.0000044014.54626.

The physical condition that the expectation values of physical observables are real quantities is used to give a precise formulation of PT-symmetric quantum mechanics. A mathematically rigorous proof is given to establish the physical equivalence of PT-symmetric and conventional quantum mechanics. The results reported in this paper apply to arbitrary PT-symmetric Hamiltonians with a real and discrete spectrum. They hold regardless of whether the boundary conditions defining the spectrum of the Hamiltonian are given on the real line or a complex contour.

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