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Course by G. G. Amosov "Mathematical foundations of quantum mechanics"
September 12–December 5, 2022, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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The mathematical axiomatics of quantum mechanics leads to the emergence of a new mathematical discipline – noncommutative probability theory. With this approach random variables are determined by positive operator-valued measures and expectations are given by positive functionals on the algebra of all bounded operators. At the same time, the properties of variances and covariances in noncommutative probability theory turn out to be different from their classical counterparts.
Financial support. The course is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2022-265).
 Program
Lecturer
Amosov Grigori Gennadievich
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
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| Course by G. G. Amosov "Mathematical foundations of quantum mechanics", September 12–December 5, 2022 |
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December 5, 2022 (Mon) |
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| 1. |
Lecture 12. Mathematical foundations of quantum mechanics
G. G. Amosov
December 5, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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November 28, 2022 (Mon) |
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| 2. |
Lecture 11. Mathematical foundations of quantum mechanics
G. G. Amosov
November 28, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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November 21, 2022 (Mon) |
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| 3. |
Lecture 10. Mathematical foundations of quantum mechanics
G. G. Amosov
November 21, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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November 14, 2022 (Mon) |
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| 4. |
Lecture 9. Mathematical foundations of quantum mechanics
G. G. Amosov
November 14, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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October 31, 2022 (Mon) |
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| 5. |
Lecture 8. Mathematical foundations of quantum mechanics
G. G. Amosov
October 31, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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October 24, 2022 (Mon) |
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| 6. |
Lecture 7. Mathematical foundations of quantum mechanics
G. G. Amosov
October 24, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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October 17, 2022 (Mon) |
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| 7. |
Lecture 6. Mathematical foundations of quantum mechanics
G. G. Amosov
October 17, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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October 10, 2022 (Mon) |
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| 8. |
Lecture 5. Mathematical foundations of quantum mechanics
G. G. Amosov
October 10, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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October 3, 2022 (Mon) |
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| 9. |
Lecture 4. Mathematical foundations of quantum mechanics
G. G. Amosov
October 3, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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September 26, 2022 (Mon) |
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| 10. |
Lecture 3. Mathematical foundations of quantum mechanics
G. G. Amosov
September 26, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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September 19, 2022 (Mon) |
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| 11. |
Lecture 2. Mathematical foundations of quantum mechanics
G. G. Amosov
September 19, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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September 12, 2022 (Mon) |
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| 12. |
Lecture 1. Mathematical foundations of quantum mechanics
G. G. Amosov
September 12, 2022 18:00, Steklov Mathematical Institute, Room 313 (8 Gubkina) + online
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