Probability Description and Entropy of Classical and Quantum Systems

被引:59
作者
Man'ko, Margarita A. [1 ]
Man'ko, Vladimir I. [1 ]
机构
[1] PN Lebedev Phys Inst, Moscow 119991, Russia
基金
俄罗斯基础研究基金会;
关键词
Probability representation; Tomographic entropy; Uncertainty relations; Quantum states; UNCERTAINTY RELATIONS; TOMOGRAPHIC ENTROPY; SQUEEZED STATES; REPRESENTATION;
D O I
10.1007/s10701-009-9403-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Tomographic approach to describing both the states in classical statistical mechanics and the states in quantum mechanics using the fair probability distributions is reviewed. The entropy associated with the probability distribution (tomographic entropy) for classical and quantum systems is studied. The experimental possibility to check the inequalities like the position-momentum uncertainty relations and entropic uncertainty relations are considered.
引用
收藏
页码:330 / 344
页数:15
相关论文
共 40 条
  • [1] [Anonymous], P PN LEBEDEV PHYS I
  • [2] [Anonymous], 2013, Mathematische grundlagen der quantenmechanik
  • [3] [Anonymous], J PHYS C SER
  • [4] [Anonymous], 2006, ACTA PHYS HUNG NS-H, DOI 10.1556/APH.26.2006.1-2.10
  • [5] [Anonymous], 1965, COLLECTED PAPERS LD
  • [6] [Anonymous], 1927, GOTTINGENISCHE NACHR
  • [7] [Anonymous], INTRO QUANTUM INFORM
  • [8] [Anonymous], ARXIVQUANTPH0604008
  • [9] [Anonymous], ARXIVQUANTPH0404126V
  • [10] [Anonymous], 1927, Z. Physik, DOI DOI 10.1007/BF01343064