PUBLICATIONS
2020
REFEREED JOURNALS

Denis I. Borisov, Dmitry A. Zezyulin and
Miloslav Znojil,
Bifurcations of thresholds in essential spectra
of elliptic
operators under localized nonHermitian perturbations.
Studies in Applied Mathematics, in print.
(arXiv:2007.02258)

Miloslav Znojil et al,
The number of decompositions of F(n,1).
The online encyclopedia of integer sequences,
sequence number A 335631
OPEN ACCESS:
http://oeis.org/A335631
(see also
arXiv:2010.15014, Appendix A.2)

Miloslav Znojil et al,
The number of decompositions of H(n,1).
The online encyclopedia of integer sequences,
sequence number A 336739
OPEN ACCESS:
http://oeis.org/A336739
(see also
arXiv:2010.15014, Appendix A.1)

Miloslav Znojil,
Quantum phase transitions in nonhermitian harmonic oscillator.
Scientific Reports 10(1) (2020)
18523
OPEN ACCESS
(paid by
UHK):
DOI:
10.1038/s4159802075468w, 9 pages,
preliminary version:
Hilbert spaces of states of PTsymmetric harmonic oscillator near
exceptional points
(arXiv:2008.04012)

Miloslav Znojil,
Unitary unfoldings of BoseHubbard exceptional point
with and without
particle number conservation.
Proceedings of the Royal Society A:
Mathematical, Physical & Engineering Sciences A 476 (2242) (2020) 20200292 .
DOI:
10.1098/rspa.2020.0292, 19 pages
(arXiv:2008.12844)

Miloslav Znojil
,
Perturbation theory near degenerate exceptional points.
SYMMETRY 2020, 12(8), 1309 (05 Aug 2020);
section:
Physics and Symmetry
OPEN ACCESS:
DOI: 10.3390/sym12081309
(special issue
Symmetries in Quantum Mechanics and Statistical Physics,
G. Junker, Ed.)
(arXiv:2008.00479)

Miloslav Znojil and Denis I. Borisov,
Anomalous mechanisms of the loss of observability
in nonHermitian quantum models
.
Nuclear Physics B, Volume 957, August 2020, 115064
OPEN ACCESS:
DOI: 10.1016/j.nuclphysb.2020.115064
(arXiv:2005.13069)

Miloslav Znojil,
Relocalization switch in a triple quantum dot molecule in 2D
.
Modern Physics Letters B 34, No. 33 (2020) 2050378 (8 pages)
DOI: 10.1142/S0217984920503789
(arXiv:2005.06934)

Miloslav Znojil
,
Supersymmetry and exceptional points.
SYMMETRY 12, no. 6 (2020),
paper 892 .
OPEN ACCESS:
DOI: 10.3390/sym12060892
(section
"Computer and Engineer Science and Symmetry"
special issue
Supersymmetry in Integrable Systems, S. Krivonos, Ed.)
(arXiv:2005.04508)

Raymond F. Bishop and Miloslav Znojil,
NonHermitian coupled cluster method
for nonstationary systems
and its interactionpicture reinterpretation
.
Eur. Phys. J. Plus 135 (4), 374 (2020)
OPEN ACCESS:
DOI: 10.1140/epjp/s1336002000374z
(arXiv:1908.03780v2)
.........
link to PDF

Miloslav Znojil,
Polynomial potentials and coupled quantum dots in two and three
dimensions.
Annals of Physics 416
(2020) 168161
DOI: 10.1016/j.aop.2020.168161
(arXiv:2003.06501)

Miloslav Znojil,
Passage through exceptional point: Case study.
Proceedings of the Royal Society A:
Mathematical, Physical & Engineering Sciences
476 (2236) (2020) 20190831.
DOI:
10.1098/rspa.2019.0831, 15 pages
(arXiv:2003.05876)

Miloslav Znojil
,
Theory of Response to Perturbations in NonHermitian
Systems
Using FiveHilbertSpace Reformulation
of Unitary Quantum Mechanics.
ENTROPY 22, 000080 (2020)
OPEN ACCESS (paid by
DUT):
DOI: 10.3390/e22010080, 20 pages,
(arXiv:1908.03017)
(Quantum
Information section,
special issue
Quantum Dynamics with NonHermitian Hamiltonians, ed. by A. Sergi)

Miloslav Znojil
,
Arnold's potentials and quantum catastrophes.
Annals of Physics 413 (2020) 168050
DOI: 10.1016/j.aop.2019.168050, 20 pages
(arXiv:1912.06223).
BOOK CHAPTERS

Miloslav Znojil,
ThreeHilbertspace formulation of quantum theory:
unitary evolution via nonHermitian Hamiltonians.
in "Topics in Mathematical Physics, Quantum Physics and
Path Integrals",
written version of
the series of 6 lectures
for the
"4th Jijel School of Theoretical Physics"
(25.  29. IX. 2016), in print.
Ed. Abdelhafid Bounames and Abdenacer Makhlouf, ISTEWiley Editions, 2021,
Chapter 2, pp. 79  126.
Notes:
(a)
reprints available
upon
emailed
request.
(b)
(c) undated updates