Co-existence of states in quantum systems

3rd International Workshop on "State of the Art in Nuclear Cluster Physics"

Iwata, Yoritaka^1

School of Science, University of Tokyo, Hongo 7-3-1, Tokyo

113-0033, Japan^1

关键词: Co-existence;    Macroscopic systems;    Mathematical theory;    Microscopic system;    Quantum system;    Symmetry-breaking;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/569/1/012029/pdf
DOI  :  10.1088/1742-6596/569/1/012029

来源: IOP

【 摘 要 】

Co-existence of different states is a profound concept, which possibly underlies the phase transition and the symmetry breaking. Because of a property inherent to quantum mechanics (cf. uncertainty), the co-existence is expected to appear more naturally in quantum- microscopic systems than in macroscopic systems. In this paper a mathematical theory describing co-existence of states in quantum systems is presented, and the co-existence is classified into 9 types.