- QMath1: "Applications of Self-Adjoint Extensions in Quantum Physics" (Dubna, Russia, September1987)
- 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; Birkhauser, 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

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