Introducing PT-Symmetry

Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
Carl M Bender, Stefan Boettcher
Physical Review Letters, 80 (1998) 5243-5246
10.1103/PhysRevLett.80.5243

PT-Symmetric Quantum Mechanics
Carl M. Bender, Stefan Boettcher, Peter N. Meisinger
Journal of Mathematical Physics, 40 (1999) 2201-2229
10.1063/1.532860

Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
Patrick Dorey, Clare Dunning, Roberto Tateo
Journal of Physics A 34 (2001) 5679-5704.
10.1088/0305-4470/34/28/305

Complex Extension of Quantum Mechanics
Carl M. Bender, Dorje C. Brody, Hugh F. Jones
Physical Review Letters, 89 (2002) 270401 Erratum-ibid 92 (2004) 119902
10.1103/PhysRevLett.89.270401

Faster than Hermitian Quantum Mechanics
Carl M. Bender, Dorje C. Brody, Hugh F. Jones, Bernhard K. Meister
Physical Review Letters, 98 (2007) 040403
10.1103/PhysRevLett.98.040403

The Naimark dilated PT-symmetric brachistochrone
Uwe Guenther, Boris F. Samsonov
Physical Review Letters 101 (2008) 230404
10.1103/PhysRevLett.101.230404

No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
Carl M. Bender, Philip D. Mannheim
Physical Review Letters 100 (2008) 110402
10.1103/PhysRevLett.100.110402

Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
Ali Mostafazadeh
Physical Review Letters 102 (2009) 220402
10.1103/PhysRevLett.102.220402

Relativistic non-Hermitean Quantum Mechanics
Katherine Jones-Smith, Harsh Mathur
http://arxiv.org/abs/0908.4257

An update on the PT-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally-extended supersymmetric partners
B. Bagchi, C. Quesne
Journal of Physics A43 (2010) 305301
10.1088/1751-8113/43/30/305301

Non-Hermitian Quantum Hamiltonians with PT Symmetry
Katherine Jones-Smith, Harsh Mathur
Physical Review A 82 (2010) 042101
10.1103/PhysRevA.82.042101

Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
E. M. Graefe, H. J. Korsch, A. E. Niederle
Physical Review Letters 101 (2008) 150408
10.1103/PhysRevLett.101.150408

Antilinear deformations of Coxeter groups, an application to Calogero models
Andreas Fring and Monique Smith
Journal of Physics A: Mathematical and Theoretical 43 (2010) 325201
10.1088/1751-8113/43/32/325201

Loss-induced suppression and revival of lasing
B. Peng, S. K. Ozdemir, S. Rotter, H. Yilmaz, M. Liertzer, F. Monifi, C. M. Bender, F. Nori, L. Yang
Science, Vol. 346, no. 6207, pp. 328-332
10.1126/science.1258004
http://arxiv.org/abs/1410.7474