PROGRESS REPORTS
(arXived, unpublished)

Bound states in energydependent potentials

Finitedimensional Hamiltonians

Interpretation of PT symmetric quantum mechanics
Answers to J. Dittrich's question about
Stone's theorem:

M. Znojil,
Conservation of pseudonorm in PT symmetric quantum mechanics
(mathph/0104012
[abs,
src,
ps,
other])
A part of this material was
incorporated in:
B. Bagchi, C. Quesne and M. Znojil,
Generalized continuity equation and modified normalization
in PTsymmetric quantum mechanics
,
Mod. Phys. Letters A 16 (2001) 2047  2057
(quantph/0108096).
Answers to emailed questions by C. Quesne:
 M. Znojil,
What is PT symmetry?
(quantph/0103054v1
[abs,
src,
ps,
other])
Status: Versions 1 and 2 remained unpublished.
Some ideas survived
in version 3:
M. Znojil,
Should PT symmetric quantum mechanics be
interpreted as nonlinear?
,
J. Nonlin. Math. Phys. (special issue on Lie Symmetry Analysis and Applications
in honour of the 60th birthday of Peter Leach), ...
(quantph/0103054v3).

Numerical studies in PT symmetric quantum mechanics

Supersymmetry in PT symmetric quantum mechanics
The simplest harmonicoscillator model:
 M. Znojil,
Annihilation and creation operators anew
(hepth/0012002v1
[abs,
src,
ps,
other])
Seminar in Bratislava, discussion (e.g., with J. Boháčik)
still running. Published, after a thorough revision, two years later, in
M. Znojil,
NonHermitian SUSY and singular, PTsymmetrized oscillators
,
J. Phys. A: Math. Gen. 35 (2002) 2341  2352
(hepth/0201056).

Perturbation theory in standard quantum mechanics

Exactly solvable models in quantum mechanics

Fibonacci numbers and the like
Note: Reprints available
upon an
emailed
request.
updated from time to time