PT-symmetric Quantum Mechanics: A Precise and Consistent Formulation

Author: Mostafazadeh Ali  

Publisher: Springer Publishing Company

ISSN: 0011-4626

Source: Czechoslovak Journal of Physics, Vol.54, Iss.10, 2004-10, pp. : 1125-1132

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

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.