A PT invariant potential with complex QES Eigenvalues

are complex conjugate pairs in case the parameter M is an even integer while they are real in case M is an odd integer. We also show that whereas the PT symmetry is spontaneously broken in the former case, it is unbroken in the latter case.

Note:

8 pages, Latex, No fig, To appear in PLA(2000)

References(17)

Figures(0)

Real spectra in nonHermitian Hamiltonians having PT symmetry

- Phys.Rev.Lett. 80 (1998) 5243-5246
•
e-Print:
- physics/9712001
•
DOI:
- 10.1103/PhysRevLett.80.5243

Quasiexactly solvable quartic potential

- J.Phys.A 31 (1998) L273-L277
•
e-Print:
- physics/9801007
•
DOI:
- 10.1088/0305-4470/31/14/001

- J.Math.Phys. 40 2210

Complex square well -- a new exactly solvable quantum mechanical model

- J.Phys.A 32 (1999) 6771-6781
•
e-Print:
- quant-ph/9906057
•
DOI:
- 10.1088/0305-4470/32/39/305

Large order perturbation theory for a nonHermitian PT symmetric Hamiltonian

- J.Math.Phys. 40 (1999) 4616-4621
•
e-Print:
- quant-ph/9812039
•
DOI:
- 10.1063/1.532991

Complex periodic potentials with real band spectra

- Phys.Lett.A 252 (1999) 272
•
e-Print:
- cond-mat/9810369
•
DOI:
- 10.1016/S0375-9601(98)00960-8

Massless quantum electrodynamics with a critical point

e-Print:
- hep-th/9802184

- J.Phys.A 32 3105

- J.Phys.A 32 4563

- Phys.Lett.A 264 108

Schrödinger operators with complex potential but real spectrum

Francesco Cannata
(
- Bologna U. and
- INFN, Bologna
)
,
Georg Junker
(
- Erlangen - Nuremberg U.
)
,
Johannes Trost
(
- Erlangen - Nuremberg U.
)

- Phys.Lett.A 246 (1998) 219-226
•
e-Print:
- quant-ph/9805085
•
DOI:
- 10.1016/S0375-9601(98)00517-9

A New PT symmetric complex Hamiltonian with a real spectrum

- J.Phys.A 33 (2000) L1-L3
•
e-Print:
- quant-ph/9911104
•
DOI:
- 10.1088/0305-4470/33/1/101

Analytic continuation of Eigenvalue problems

- Phys.Lett.A 173 (1993) 442-446
•
DOI:
- 10.1016/0375-9601(93)90153-Q