| RUS ENG |
| Полная версия |
|
|
|
| СЕМИНАРЫ |
|
|
|||
|
[Quantum Probabilistic Interpretation and Quaternion Matrices] А. Л. Завесов |
|||
|
Аннотация: We describe the theory, which shapes a probabilistic (statistical) interpretation of quantum mechanics in terms of quaternion matrices. Upon introducing the notion of a quaternionic density matrix, we define the expressions for calculating the observed means and entropy of a quantum system. The difference between quaternion and complex matrices is that the former are not linear operators. This fact forces us to rebuild the theory of quaternionic matrix operators and to show that all the basic theorems related to complex matrices are held, with some reservations. The constructed theory of quaternionic matrix operators also presents interest from a purely mathematical point of view, regardless of its application in quantum mechanics. References: https://www.researchgate.net/publication/349303667_Quantum_Probabilistic_Interpretation_and_Quaternion_Matrices_Eng Язык доклада: английский Website: https://us02web.zoom.us/j/81866745751?pwd=bEFqUUlZM1hVV0tvN0xWdXRsV2pnQT09 |
|||