Archive

A conference series "Mathematical Results in Quantum Theory" (or QMath) was initiated by P. Exner and P. Seba in 1987. The aim is not only to bring together people interested in the "quantum part" of mathematical physics, but in the first place to stimulate a search of new quantum effects and a deeper understanding of quantum physics, as well as development of methods which can help in situations where the standard quantum mechanical tools are inadequate. Up to now there were thirteen meetings, the fourteenths is in preparation:

• QMath1: "Applications of Self-Adjoint Extensions in Quantum Physics" (Dubna, Russia, September 1987)
• QMath2: "Schroedinger Operators, Standard and Non-Standard" (Dubna, September 1988)
• QMath3: "Order, Disorder and Chaos in Quantum Systems" (Dubna, October 1989)
• QMath4: "Rigorous Results in Quantum Dynamics" (Liblice, Czechoslovakia, June 1990)
• QMath5: "Mathematical Results in Quantum Mechanics" (Blossin, Germany, May 1993)
• QMath6: "Mathematical Results in Quantum Mechanics" (Ascona, Switzerland, June 1996)
• QMath7: "Mathematical Results in Quantum Mechanics" (Prague, Czechia, June 1998)
• QMath8: "Mathematical Results in Quantum Mechanics" (Taxco, Mexico, December 2001)
• QMath9: "Mathematical Results in Quantum Mechanics" (Giens, France, September 2004)
• QMath10: "10th Quantum Mathematics International Conference" (Moeciu, Romania, September 2007)
• QMath11: "Mathematical Results in Quantum Physics" (Hradec Kralove, Czechia, September 2010)
• QMath12: "Mathematical Results in Quantum Physics" (Berlin, Germany, September 2013)
• QMath13: "Mathematical Results in Quantum Physics" (Atlanta, U.S.A., October 2016)
• QMath14: "Mathematical Results in Quantum Physics" (Aarhus, Denmark, August 2019)
• QMath15: "Mathematical Results in Quantum Physics" (UC Davis, U.S.A., September 2022)
• QMath16: "Mathematical Results in Quantum Physics" (TU Munich, September 2025)

More about the program of the previous conferences can be learned from the conference proceedings which were published in the following volumes:

• QMath1: Applications of Self-Adjoint Extensions in Quantum Physics, Lecture Notes in Physics, vol.324; Springer, Berlin 1989
• QMath2: Schroedinger Operators, Standard and Non-Standard, World Scientific, Singapore 1989
• QMath3: Order, Disorder, and Chaos in Quantum Systems, Operator Theory: Advances and Applications, vol.46; Birhauser, Basel 1990
• QMath4: Rigorous Results in Quantum Dynamics, World Scientific, Singapore 1991
• QMath5: Mathematical Results in Quantum Mechanics, Operator Theory: Advances and Applications, vol.70; Birhauser, Basel 1994
• QMath6: Proceedings of the Conference Mathematical Results in Quantum Mechanics, Helv. Phys. Acta 71 (1998), No.1
• QMath7: Mathematical Results in Quantum Mechanics, Operator Theory: Advances and Applications, vol.108; Birhauser, Basel 1999
• QMath8: Mathematical Results in Quantum Mechanics, Contemporary Mathematics, vol.307; AMS, Providence, R.I., 2002
• QMath9: Mathematical Physics of Quantum Mechanics (J. Asch and A. Joye, eds.), Lecture Notes in Physics, vol. 690, Springer, Berlin 2006
• QMath10: Mathematical Results in Quantum Mechanics (I. Beltita, G. Nenciu and R. Purice, eds.), World Scientific, Singapore 2008
• QMath11: Mathematical Results in Quantum Physics (P. Exner, ed.), World Scientific, Singapore 2011
• QMath12: Mathematical Results in Quantum Mechanics (P. Exner, W. König, H. Neidhardt, eds.), World Scientific, Singapore 2014
• QMath13: Mathematical Problems in Quantum Physics (F. Bonetto, D. Borthwick, E. Harrell, M. Loss, eds.), AMS Contemporary Mathematic Series, vol. 717; Providence, R.I., 2018
• QMath14: Reviews in Mathematical Physics, vol. 33 (2021), No. 1; Special Issue on Mathematical Results in Quantum Mechanics

AMMP archive

PHHQP XXI

2024
in City University of London

email, please, your inquiries to MZ
or, better, to Andreas Fring

PHHQP XX

July 31st - August 4th, 2023
in Istanbul, Turkey;

for details see the official homepage of the conference

all inquiries have to be sent now to the
main organizer: professor Ali Mostafazadeh,

PHHQP XIX

dates: March 18 - 22, 2019

location: in Sanya, Hainan province, China;
more detailed info is here;

cca 59 participants, no proceedings;
see also the photos from the meeting
here

local organizers:
Shao-Ming Fei,  Miloslav Znojil
and  Xianqing Li-Jost

PHHQP XVIII

dates: June 4-13, 2018
location: Bengaluru, Karnataka, India

see the webpage of the meeting  here

local organizers:
Bhabani Prasad Mandal,  Manas Kulkarni et al.

the 17th PHHQP workshop

"Non-Hermitian Hamiltonians in Physics:
Theory and Experiment"

took place, during May 14 - 19, 2017
(as the 642th "Wilhelm und Else-Heraus Seminar")
in Bad Honnef, Germany,
in the
Physics Centre of the German Physical Society

main organizers:
Guenter Wunner and  Eva-Maria Graefe

cca  66 participants, no proceedings;

the photo of participants:

plus  identification pattern

the 16th PHHQP workshop

"Pseudo-Hermitian Operators in Physics"

took place, during August 8 - 12, 2016,
in Kyoto, Japan,
in the Maskawa Hall of

main organizer: professor  Naomichi Hatano
cca 60 participants, no proceedings,

official photo (4.6 MB)

the 15th PHHQP workshop

(cf. the  official webpage )

took place, during May 18 - 23, 2015,
in “Sala Lanza” of the Botanic Garden (Orto Botanico),
Via Lincoln, 2 - 90123, Palermo, Italy

main organizer: professor  Fabio Bagarello
cca 67  participants
see  photo below (1.8 MB):

the proceedings
in "Springer Proceedings in Physics", vol. 184
ISSN: 0930-8989
editors:  F. Bagarello et al.
published (2016).

the 14th PHHQP workshop

(cf. the  official webpage )
took place, during September 5 - 10, 2014,

in Setif, Algeria,
main organizer: professor  Mustapha Maamache
cca 68  participants
see  photo below (5.5 MB):

proceedings:
M. Znojil, ed.,
International Journal of Theoretical Physics,
Volume 54, Issue 11, October 2015,
Pages 3867 - 4183
ISSN: 0020-7748
(ISSN: 1572-9575 for electronic version)

the 13th PHHQP workshop

"Quantum (and Classical) Physics
with Non-Hermitian Operators"

two years delayed,
the meeting finally took place
in Jerusalem, Israel,
during July 12 - July 16,  2015
on the Edmond J. Safra Campus at IIAS

main organizer: professor  Joshua Feinberg

all talks are available
videorecorded

or in  proceedings
shared with PHHQP XV (see above)

the 12th PHHQP workshop

"Pseudo-Hermitian Operators in Physics"

took place, during July 2 - 6, 2013,
in Istanbul, Turkey,

main organizer: professor  Ali Mostafazadeh,
cca 67 participants, no proceedings,

photo (7.3 MB):

plus  identification pattern and
(an incomplete)  name assignment

the 11th PHHQP workshop

"Non-Hermitian Operators in Quantum Physics"

August 27 - 31, 2012,
main organizer:  J.-P. Gazeau

Lab. AstroParticule et Cosmologie (APC)
10 rue Alice Domon et Leonie Duquet
75025 Paris, France

cca 60 participants:

poster

in place of proceedings,
edited book
"Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects"
ISBN: 978-1-118-85528-7, 432 pages
(c) 2015 John Wiley & Sons, Inc.
edited by Fabio Bagarello, Jean-Pierre Gazeau,
Franciszek H. Szafraniec and Miloslav Znojil,
printed in July 2015:

the 10th PHHQP workshop

was organized as a part of the
International Seminar and Workshop

"Quantum Physics with Non-Hermitian Operators"

and it took place in
Max Planck Institute
in Dresden, Germany

during June 14 - 25, 2011
main organizer:  I. Rotter

cca 100  participants:

proceedings:
special issue
of Fortschritte and of J. Phys. A;
reference  here

the 9th PHHQP workshop
(see the  official webpage)
took place
in Hangzhou, China, during June 21 - 24, 2010.
main organizer:  Jun De Wu

cca  80 participants:
(cf. the  names)

proceedings
appeared in the special issue of

International Journal of Theoretical Physics

Nr. 4 (April 2011), pp. 953 - 1333 .

guest editors:
Wu Junde (Zhejiang University, China) and
Miloslav Znojil (NPI Řež).

the 8th PHHQP workshop
(see  a photo)

organized
in the Homi Bhabha Centre for Science Education
and in the Tata Institute of Fundamental Research
in  Mumbai
during January 12 - 16, 2009;
main organizers:  S. R. Jain and  Z. Ahmed

proceedings  appeared in
Pramana - J. Phys.,
Part I: No. 2, August 2009,  pp. 215 -- 422,
Part II: No 3, September 2009,  pp. 417 -- 626.
reprinted as the book:e
"Non-Hermitian Hamiltonians in Quantum Physics"
(Indian Acad. Sci., Bangalore, 2009)
guest editors:
Sudhir R. Jain and Zafar Ahmed

the 7th PHHQP workshop
(see  two photos and the  official webpage)

co-organized with
in the  Benasque Centre for Science , Spain,

during June 29 - July 11, 2008;
main organizer:  A. A. Andrianov
proceedings: special issue
SIGMA 5 (2009)
items  1,5,7,17,18,39,43,47,53,64,69.
guest editors:
A. A. Andrianov,  C. M. Bender,  H. F. Jones,
A. V. Smilga and  M. Znojil.

the 6th PHHQP workshop
(see  142 photos and the  official webpage)

co-organized with
during 16 - 18 July, 2007,
in London, UK,
main organizer:  A. Fring
proceedings:
J. Phys. A: Math. Gen. 41 (2008) 240301 - 244027,
special issue
dedicated to the subject of the Workshop
(Nr. 24, 20 June 2008),
guest editors  A. Fring,  H. F. Jones and  M. Znojil.

the 5th PHHQP workshop

organized by
on July 3rd - 5th, 2006,
in Bologna, Italy,
main organizer:  E. Caliceti

parallel special issue:
Czech. J. Phys. 56 (2006) 885 - 1064
(Nr. 9, September 2006),
guest editor: M. Znojil.

the 4th PHHQP workshop
(see  photo or  photo or  official photo and  official webpage)

co-organized with
campus in Stellenbosch, South Africa,
November 22 - 25, 2005;
main organizer:  H. B. Geyer
proceedings:
J. Phys. A: Math. Gen. 39 (2006) 9963 - 10262,
special issue dedicated to the physics of non-Hermitian operators
(Nr. 32, 11. August 2006),
guest editors H. Geyer, D. Heiss and M. Znojil.

the 3rd PHHQP workshop
(see  photo and  official webpage)

co-organized with
campus in Istanbul, Turkey,
June 20 - 22, 2005;
main organizer:  A. Mostafazadeh
proceedings in
Czech. J. Phys. 55 (2005) 1045 - 1192,
guest editor: M. Znojil.

the 2nd PHHQP workshop
(see  photo)

organized solely by


Villa Lanna, Prague, Czechia,
June 14 - 16 , 2004
main organizer:  M. Znojil
proceedings:
Czech. J. Phys. 54 (2004) 1005 - 1148,
guest editor: M. Znojil.

the 1st PHHQP workshop
(see  photo)

co-organized with

Villa Lanna, Prague,, Czechia,
June 16 - 17 , 2003
main organizer:  M. Znojil
proceedings:
Czech. J. Phys. 54 (2004) 1 - 156,
guest editor: M. Znojil.

Indian-Summer School is a series of summer courses on various topics of physics which has been held annually in Prague and its vicinity since 1988. It is intended for graduate and advanced undergraduate students, postdocs and researchers in the field. The school has been organized by Nuclear Physics Institute of the CAS, sometimes together with Faculty of Mathematics and Physics, Charles University in Prague or Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague.

Each year of the School has its own website. This page contains just links to them.