Dynamic and Ergodic Properties of the XY-Model

作者: Huzihiro Araki

DOI: 10.1007/978-1-4899-6650-6_11

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摘要: In quantum mechanics, a physical observable is described by (linear) operator Q on Hilbert space H and (pure) state unit vector Ψ in H. The expectation value (the average of measured values for large number repeated measurements) the State given (1.1.1) More general states called mixtures are positive ρ trace 1, density matrix, which (1.1.2) and at most countable sum form (1.1.1). ((1.1.1) special case where one-dimensional projection operator.)

参考文章(3)
Huzihiro Araki, Eytan Barouch, On the dynamics and ergodic properties of the XY model Journal of Statistical Physics. ,vol. 31, pp. 327- 345 ,(1983) , 10.1007/BF01011585
Huzihiro Araki, On the {$XY$}-model on two-sided infinite chain Publications of the Research Institute for Mathematical Sciences. ,vol. 20, pp. 277- 296 ,(1984) , 10.2977/PRIMS/1195181608