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PROGRESS REPORTS
(arXived, unpublished)
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Bound states in energy-dependent potentials
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Finite-dimensional Hamiltonians
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Interpretation of PT symmetric quantum mechanics
Answers to J. Dittrich's question about
Stone's theorem:
-
M. Znojil,
Conservation of pseudo-norm in PT symmetric quantum mechanics
(math-ph/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 PT-symmetric quantum mechanics
,
Mod. Phys. Letters A 16 (2001) 2047 - 2057
(quant-ph/0108096).
Answers to e-mailed questions by C. Quesne:
- M. Znojil,
What is PT symmetry?
(quant-ph/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Status: Versions 1 and 2 remained unpublished.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), ...
(quant-ph/0103054v3).
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Numerical studies in PT symmetric quantum mechanics
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Supersymmetry in PT symmetric quantum mechanics
The simplest harmonic-oscillator model:
- M. Znojil,
Annihilation and creation operators anew
(hep-th/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,
Non-Hermitian SUSY and singular, PT-symmetrized oscillators
,
J. Phys. A: Math. Gen. 35 (2002) 2341 - 2352
(hep-th/0201056).
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Perturbation theory in standard quantum mechanics
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Exactly solvable models in quantum mechanics
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Fibonacci numbers and the like
Note: Reprints available
upon an
e-mailed
request.
updated from time to time