Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables

• Main Authors: Nguyen, Quang Hung, Bui, Quang Tu
• Format: Article
• Language: English
• Published: H. : ĐHQGHN 2017
• Subjects: Generalized uncertainty relation; Generalized uncertainty principle; Generalized Cauchy-Schwarz inequality
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/55399
• Institution: Vietnam National University, Hanoi

We show that the famous Heisenberg uncertainty relation for two incompatible observables can be generalized elegantly to the determinant form for N arbitrary observables. To achieve this purpose, we propose a generalization of the Cauchy-Schwarz inequality for two sets of vectors. Simple consequence...