Very recently, D. F. Styer et al summarized almost 80 years of the
amazingly robust development of quantum mechanics and summarized
it in their paper ``Nine formulations of quantum mechanics"  [Am.
J. Phys. 70 (2002) 288 - 297]. Unfortunately, their work may well
become obsolete quite quickly, since another, ``tenth" version of
the formalism might prove accepted soon.
\par
Some of the reasons may be found presented in the letter under
review. Z. Ahmed summarizes some basic properties of the so called
PT-symmetric Hamiltonians with real spectra and argues that a
consistent picture is being obtained also when one innovates,
accordingly, the phase-space quantization ideas and techniques.
\par
The author's detailed attention is paid to the quasi-classical
tractability of a broad class of PT-symmetric potentials. He
argues that they admit a treatment which parallels the standard
textbooks using real potentials. He illustrates the consistency of
the proposed picture (with action integral contour connecting two
complex turning points) on a Scarf-II model.



MR2187991 Ahmed, Zafar Novel phase-space orbits and quantization.
J. Phys. A 38 (2005), no. 43, L701--L706. 81Q10 (81U15)